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Path analysis (statistics)





Encyclopedia results for Path analysis (statistics)

  1. Path analysis (statistics)

    In statistics , path analysis is used to describe the directed dependencies among a set of variables. This includes models equivalent to any form of multiple regression analysis , factor analysis, canonical correlation analysis, discriminant analysis, as well as more general families of models in the multivariate analysis of variance and covariance analyses MANOVA, ANOVA, ANCOVA . In addition to being thought of as a form of multiple regression focusing on causality, path analysis can be viewed as a special ... References references DEFAULTSORT Path Analysis Statistics Category Regression analysis Category Graphical ... single indicators are employed for each of the variables in the causal model. That is, path analysis is SEM with a structural model, but no measurement model. Other terms used to refer to path analysis include causal modeling, analysis of covariance structures, and latent variable model s. History Path analysis was developed around 1918 by geneticist Sewall Wright , who wrote about it more extensively ... a simple set of path tracing rules, ref cite journal doi 10.1214 aoms 1177732676 last1 Wright first1 S. year 1934 title The method of path coefficients url journal Annals of Mathematical Statistics ... The Oxford Dictionary of Statistical Terms. OUP. ISBN 0 19 920613 9 ref Path modeling In the model ... are depicted by the e or error terms in the model. Image Path example.JPG Using the same variables ..., and the likelihood or fit of these two models can be compared statistically. Path tracing rules ... of the path coefficients along that pathway. The rules for path tracing are You can trace backward up ... than one bi directional arrow can be included in each path chain. Another way to think of rule one ... is the product of the standardized path coefficients, and the total expected correlation between two variables is the sum of these contributing path chains. nb Wright s rules assume a model without feedback loops i.e the model is recursive . Path tracing in unstandardized models If the modeled variables ...   more details



  1. Path analysis

    Path Analysis may refer to Path analysis statistics , a statistical method of finding cause effect relationships Path analysis computing , a method for finding the trail that leads users to websites Critical path method , an operations research technique disambig ...   more details



  1. Path analysis (computing)

    Orphan date February 2009 unreferenced date March 2008 Path analysis , in Internet website analytics , is a process of determining a sequence of pages visited in a visitor session prior to some desired event, such as the visitor purchasing an item or requesting a newsletter. The precise order of pages visited may or may not be important and may or may not be specified. In practice, this analysis is done in aggregate, ranking the paths sequences of pages visited prior to the desired event, by descending frequency of use. The idea is to determine what features of the website encourage the desired result. Fallout analysis, a subset of path analysis, looks at black holes on the site, or paths that lead to a dead end most frequently, paths or features that confuse or lose potential customers. Understanding visitors In the real world when you visit a shop the shelves and products are not placed in a random order. The shop owner carefully analyzes his visitors and path they walk through his shop, especially when they are selecting or buying products. Next the shop owner will reorder his shells ... visitors to the final sign up page. Path analysis answers typical questions like br Where do ... statistics. Funnels and Goals Google Analytics provides a path function with funnels and goals. A predetermined path of web site pages is specified and every visitor walking the path is a goal. This approach ... B Page D Exit. External links http www.movemetrics.com MoveMetrics Path Analysis software http blog.bridgelinesw.com 2008 12 getting the most from path analysis Getting the Most from Path Analysis http www.mediapost.com publications ?fa Articles.showArticleHomePage&art aid 94308 Is User Path Analysis The Right Path? DEFAULTSORT Path Analysis Computing Category Web analytics ... an end point analysis. Using maps The paths visitors walk in a web site can lead to an endless number of unique paths. As a result there is no point in analyzing each path, but to look for the strongest ...   more details



  1. Path quality analysis

    Path quality analysis In a telecommunication communications path, an analysis that a includes the overall evaluation of the electronic component component quality measures, the individual data link link quality measures, and the aggregate path quality measures, and b is performed by evaluating communications parameters, such as bit error ratio , Signalling telecommunication signal plus noise plus distortion to noise plus distortion ratio, and spectral distortion. FS1037C radio comm stub Category Radio frequency propagation ...   more details



  1. Eightfold Path (policy analysis)

    The Eightfold Path is a method of policy analysis assembled by Eugene Bardach, a professor at the Goldman School of Public Policy at the University of California, Berkeley . ref cite web title Eugene Bardach s Faculty Homepage Berkeley url http gsppi.berkeley.edu faculty ebardach publisher University of California at Berkeley accessdate 6 August 2011 ref It is outlined in his book A Practical Guide for Policy Analysis The Eightfold Path to More Effective Problem Solving , which is now in its fourth edition. ref cite web title A Practical Guide for Policy Analysis url http www.cqpress.com product Bardach4e.html work Book publisher CQ Press accessdate 29 October 2011 author Eugene Bardach ref The book is commonly referenced in Policy public policy and public administration scholarship. ref cite web title List of scholarly works referencing A Practical Guide for Policy Analysis url http scholar.google.com scholar?cites 4884126323094470718&as sdt 20005&sciodt 0,9&hl en publisher Google Scholar accessdate 6 August 2011 ref Bardach s procedure is as follows Define the Problem Assemble Some Evidence Construct the Alternatives Select the Criteria Project the Outcomes Confront the Trade offs Decide Tell Your Story A possible ninth step, based on Bardach s own writing, might be Repeat Steps 1 8 as Necessary. See also Policy analysis Policy Analysis http www.worldcat.org oclc 245022922 WorldCat Library Catalog A Practical Guide for Policy Analysis References Reflist Category Evaluation methods Category Policy Category Subfields of political science Category Public policy research Category Political books ms Eightfold Path analisis dasar ...   more details



  1. Swept path analysis

    unreferenced date March 2009 Swept Path Analysis is the calculation and analysis of the movement and path of different parts of a vehicle when that vehicle is undertaking a turning maneuver. At a basic level this includes calculating the path taken by each wheel during the turn and also calculating the space needed by the vehicle body during the turn. Initially this form of calculation was carried out by hand, but in recent years has been computerized. Computer programs http www.savoy.co.uk Savoy Computing Services Limited claims the first program to provide this form of vehicle turn analysis was TrackTech later Track and now http www.savoy.co.uk AutoTrack back in the 1970s. It was developed originally by Travers Morgan and Partners and used by the UK s Transport and Road Research Laboratory. Savoy later advised the UK s http www.fta.co.uk Freight Transport Association FTA on vehicle manoeuvring when FTA developed their industry standard booklet, http www.shop.fta.co.uk p 181 designing for deliveries guide.aspx Designing for Deliveries . AutoTrack has since been extended and now models ... trusted and widely used Swept Path Analysis software available in 7 languages and used by thousands ... civil engineering software developer. Uses Swept path analysis has a variety of uses. New vehicles ... PathPlanner A5 from http www.simtra.com Simtra AeroTech . Car parks Linked to its Swept Path Analysis the program may also include parking tools. This module may integrate seamlessly with the swept path analysis program and provide a quick, powerful and intuitive tool for laying out car parks into which the intended vehicles swept path can be integrated. Car parks can be laid out for domestic cars .... Light rail A swept path analysis program may also include a module for light rail metro . This can ... Swept path analysis programs are usually adopted for use by professional corporations, and as a result ... section of track. Other Other facilities include the ability to overlay a swept path drawing over ...   more details



  1. Structured data analysis (statistics)

    Dablink This article is about structure in a dataset. For other uses see Structured data analysis disambiguation . Structured data analysis is the statistics statistical data analysis of structured data. This can arise either in the form of an a priori structure such as multiple choice questionnaires or in situations with the need to search for structure that fits the given data, either exactly or approximately. This structure can then be used for making comparisons, predictions, manipulations etc. Types of structured data analysis Regression analysis Hierarchical Bayes model Bayesian analysis Cluster analysis Combinatorial data analysis Geometric data analysis Topological data analysis Statistical shape analysis Shape analysis Functional data analysis Decision tree learning Tree structured data analysis Formal concept analysis Algebraic data analysis See also Data analysis Analysis of categorical data Dimension reduction Group method of data handling Exploratory data analysis nofootnotes date March 2011 References references cite book author Brigitte Le Roux, Henry Rouanet title Geometric Data Analysis from Correspondence Analysis to Structured Data Analysis publisher Springer year 2004 id ISBN 978 1402022357 Carlsson, G. 2009 http www.ams.org bull 2009 46 02 S0273 0979 09 01249 X S0273 0979 09 01249 X.pdf Topology and Data , Bulletin New Series of the American Mathematical Society , 46 2 , 255 308 cite book author Lawrence J. Hubert, Phipps Arabie, Jacqueline Meulman title Combinatorial Data Analysis Optimization by Dynamic Programming publisher SIAM year 2001 id ISBN 978 0898714784 cite book author James O. Ramsay, B. W. Silverman title Functional data analysis publisher Springer year 2005 id ISBN 9780387400808 Leland Wilkinson, 1992 http bus.utk.edu stat DataMining Tree 20Structured 20Data 20Analysis 20 SPSS .pdf Tree Structured Data Analysis AID, CHAID and CART Category Data analysis Category Statistical methods Category Structure statistics stub ...   more details



  1. Scale analysis (statistics)

    In statistics , scale analysis is a set of methods to analyse survey data, in which responses to questions are combined to measure a latent variable . These items can be dichotomous e.g. yes no, agree disagree, correct incorrect or polytomous e.g. disagree strongly disagree neutral agree agree strongly . Any measurement for such data is required to be reliable, valid, and homogeneous with comparable results over different studies. Constructing scales The item total correlation approach is a way of identifying a group of questions whose responses can be combined together into a single measure or scale. This is a simple approach that works by ensuring that, when considered across a whole population, responses to the questions in the group tend to vary together and, in particular, that responses to no individual question are poorly related to an average calculated from the others. Measurement models Measurement is the assignment of numbers to subjects in such a way that the relations between the objects are represented by the relations between the numbers Michell, 1990 . Traditional models Likert scale reliability statistics Reliability analysis , see also Classical test theory and Cronbach s alpha Factor analysis Modern models based on Item response theory Guttman scale Mokken scale Rasch model Circular Unfolding analysis Circumplex model Other models Latent class analysis Multidimensional scaling NOMINATE scaling method References Michell, J 1990 . An Introduction to the logic of Psychological Measurement. Hillsdales, NJ Lawrences Erlbaum Associates Publ. statistics stub Category Survey methodology Category Sampling statistics ...   more details



  1. The Path

    The Path may refer to The Path album The Path album , a 2003 studio album by Show Of Hands The Path book The Path book , collection of short essayes by Konosuke Matsushita The Path comics The Path comics , an American comic book series by CrossGen Entertainment The Path video game The Path video game , a psychological horror art PC game See also Path disambiguation disambig fr The Path it The Path ...   more details



  1. Path

    About uses of path and pathway the acronym PATH PATH disambiguation PATH wiktionarypar path pathway TOC right Path , pathway or PATH may refer to Path Course navigation , the intended path of a vehicle over the surface of the Earth Trail , hiking trail , footpath , or bridle path See also Track disambiguation Footpath disambiguation Sidewalk running along the edge of a road, in some varieties of English Bicycle path or bikeway way Golden Path Dune , a metaphysical theme from Frank Herbert s Dune novels Path Vol.2 is a 2000 single by Apocalyptica from their album Cult Mathematics Path graph theory , a sequence of vertices of a graph Path topology , a continuous function Computing Path computing , in computer file systems, the human readable address of a resource PATH variable , an environment variable specifying a list of directories where executable programs are located Path social network , a social networking enabled photo sharing and messaging service Clipping path , a computer image outlining option to remove background and create transparency Control flow path, a possible execution sequence in a program often depicted as a sequence of edges in a control flow graph The st connectivity problem is sometimes known as the path problem. Pathway Biology Genetic pathway , a group of genes interacting to form an aggregate biological function Metabolic pathway , a series of chemical reactions within a cell Signal transduction Signalling pathway , a series of interactions eg from cell receptors to affect gene expression. Neural pathway , a neural tract connecting one part of the nervous system with another Dopaminergic pathways , neural pathways in the brain which transmit the neurotransmitter dopamine Music The Pathway , second album by Officium Triste released on Displeased ... Brothers of France PATH disambiguation , disambiguation page for the acronym PATH The Path disambiguation disambiguation cs Path da Sti de PATH fr Path ko nl Pad pt Caminho simple Path ...   more details



  1. PATH

    About the acronym PATH other uses of path Path disambiguation Path PATH may refer to Port Authority Trans Hudson , a subway system linking Manhattan, New York with locations in northern New Jersey PATH Atlanta , trail building organization Georgia, USA PATH Toronto , a network of underground pedestrian tunnels in Toronto, Ontario, Canada Partners for Advanced Transit and Highways , a research organization operated by the University of California The Performance Assessment Tool For Quality Improvement In Hospitals , a performance assessment system designed by the World Health Organization to support hospitals in defining quality improvement strategies, questioning their own results and translating them into actions for improvement. Positive Alternatives to Homosexuality , a coalition of ex gay organizations Program for Appropriate Technology in Health , an international, nonprofit organization based in Seattle, Washington, USA Projects for Assistance in Transition from Homelessness , to support service delivery to individuals with serious mental illnesses who are homeless or at risk of becoming homeless Potomac Appalachian Transmission Highline , proposed electrical line PATH variable , a computer operating system environment variable specifying a list of directories where executable programs are located disambig ...   more details



  1. On the Path

    Infobox film name On the Path image On the Path.jpg image size caption director Jasmila bani producer Damir Ibrahimovic writer Jasmila bani starring Mirjana Karanovi music cinematography Christine A. Maier editing distributor released Film date 2010 2 18 60th Berlin International Film Festival Berlinale 2010 2 20 Bosnia and Herzegovina runtime country Bosnia and Herzegovina language Bosnian budget On the Path lang bs Na putu is a 2010 Bosnian and Herzegovinan drama film directed by Jasmila bani . Plot Luna and Amar are a young Bosniaks Bosnian couple living in Sarajevo. Both have traumatic memories from the Bosnian War of the 1990 s. Luna had seen her parents killed by an anti Muslim militia in Bijeljina , and had come to Sarajevo with her grandparents as a child refugee. Amar had served as a soldier in the war and lost his brother. At present, however, they have apparently built up a successful life she as an air hostess with B&H Airlines , he as an air traffic controller at the Sarajevo International Airport . When she comes back from a flight they make love passionately and go to have a good time at a local nightclub. Though identifying as Islam in Bosnia and Herzegovina Muslim s in the context of Bosnia s ethnic set up, religion plays no part in their life. In fact, Amar drinks alcoholic drinks a bit too much which is forbidden by Islam and it is this which begins to put their relationship under strain. First of all, Amar loses his job for being drunk at work. Luna is very worried and has little hope of realizing her fragile dream of having a child with Amar. But her fears for their future increase when Amar takes on a well paid job in a Muslim community hours away from where they live. Only after quite some time has elapsed during which they have had no contact ... and Amar together on the path to a lifetime of happiness. Cast Zrinka Cvite i Leon Lu ev Mirjana ... accessdate 2011 01 01 ref References reflist External links imdb title 1156531 DEFAULTSORT On The Path ...   more details



  1. Statistics

    to use statistics and frequency analysis to decipher encrypted messages, this was the birth of both ... and analysis of data in general. Today, statistics is widely employed in government, business ... Business statistics Chemometrics for analysis of data from chemistry Data mining applying statistics ... analysis Image processing Psychological statistics Reliability engineering Social statistics ... data analysis statistics Structural equation modelling Survival analysis Statistics in various sports ...Scientific field name Statistics dewey msc2010 62 XX About the field of Statistics Statistics is the study of the collection, organization, analysis, and interpretation of data . ref name Dodge Dodge, Y ... dict.asp?Word statistics The Free Online Dictionary ref It deals with all aspects of this, including ... well versed in the ways of thinking necessary for the successful application of statistical analysis ... of statistics wide number of fields . There is also a discipline called mathematical statistics that studies statistics mathematically. The word statistics , when referring to the scientific discipline, is singular, as in Statistics is an art. ref cite web url http www.merriam webster.com dictionary statistics title Statistics work Merriam Webster Online Dictionary ref This should not be confused ... Merriam Webster Online Dictionary ref whose plural is statistics this statistic seems wrong or these statistics ... distribution . Statistics used in standardized testing assessment are shown. The scales include ... nines, and percentages in standard nines. TOC limit 3 Scope Some consider statistics to be a mathematical body of science pertaining to the collection, analysis, interpretation or explanation, and presentation of data , ref Moses, Lincoln E. 1986 Think and Explain with Statistics , Addison Wesley ... Lee, 1973 Statistics for the Social Sciences , Holt, Rinehart and Winston, p.xii, ISBN 978 0 ... focus on applications, statistics is usually considered to be a distinct mathematical science rather ...   more details



  1. Analysis

    quality Path quality analysis Statistics In statistics , the term analysis may refer to any ... linguistics statistics and modeling , and semantic analysis linguistics semantics . It analyzes language ... in the data Scale analysis statistics methods to analyse survey data by scoring responses on a numeric ...Other uses Wiktionary Analysis analysis Analysis is the process of breaking a complexity complex topic ... analysis as a formal concept is a relatively recent development. ref http plato.stanford.edu entries analysis Analysis ref The word is a transcription of the ancient Greek language Greek analusis ...?term analysis Online Etymology Dictionary ref As a formal concept, the method has variously ... . Applications Chemistry See also Analytical chemistry List of chemical analysis methods The field of chemistry uses analysis in at least three ways to identify the components of a particular chemical compound qualitative analysis , to identify the proportions of components in a mixture quantitative analysis , and to break down chemical process es and examine chemical reaction s between chemical element elements of chemical matter matter . For an example of its use, analysis of the concentration ... activation analysis neutron activation to develop discrete measurements within vast samples. A matrix chemical analysis matrix can have a considerable effect on the way a chemical analysis is conducted and the quality of its results. Analysis can be done manually or with a analyser device . Chemical analysis is an important element of national security among the great power major world powers with Materials ... See also Isotope analysis Isotope geochemistry Chemists can use isotope s to assist analysts with issues ... of environmental radioactivity . Business Financial statement analysis the analysis of the accounts and the economic prospects of a firm Fundamental analysis a stock valuation method that uses financial analysis Technical analysis the study of price action in securities markets in order to forecast ...   more details



  1. Path coefficient

    Path coefficients are standardized versions of linear regression weights which can be used in examining the possible causal linkage between statistical variable s in the structural equation modeling approach. The standardization involves multiplying the ordinary regression coefficient by the standard deviations of the corresponding explanatory variable these can then be compared to assess the relative effects of the variables within the fitted regression model. The idea of standardization can be extended to apply to partial regression coefficients. The term path coefficient derives from Wright 1921 , where a particular diagram based approach was used to consider the relations between variables in a multivariate system. ref Dodge, Y. 2003 The Oxford Dictionary of Statistical Terms , OUP. ISBN 0 19 920613 x ref See also Path analysis statistics Notes Reflist References Shipley, B. 2000 Cause and Correlation in Biology A User s Guide to Path Analysis, Structural Equations and Causal Inference Cambridge University Press. ISBN 0521529212 Wright, S. 1921 Correlation and causation , Journal of Agricultural Research , 20, 557&ndash 585. External links http www2.chass.ncsu.edu garson pa765 path.htm www2.chass.ncsu.edu garson pa765 path.htm Category Statistical terminology Category Regression analysis ...   more details



  1. Path space

    Multiple issues unreferenced December 2009 orphan June 2010 context February 2011 In mathematics , the term path space refers to any topological space of path topology paths from one specified set into another. In particular, it may refer to the classical Wiener space of continuous function continuous paths the C dl g Skorokhod space of c dl g paths. Category Real analysis Category Stochastic processes topology stub probability stub ...   more details



  1. The Black Path

    The Black Path may refer to The Black Path novel The Black Path book , a novel by Asa Larsson The Black Path album , an album by Emil Bulls disambig ...   more details



  1. Path loss

    Professional Path Analysis Using a Spreadsheet Analogue TV transmitter topics Category Radio frequency ...Path loss or path attenuation is the reduction in power density attenuation electromagnetic radiation attenuation of an electromagnetic wave as it propagates through space. Path loss is a major component in the analysis and design of the link budget of a telecommunication system. This term is commonly used in wireless communications and Wiktionary signal signal wave propagation propagation . Path loss ... optics absorption . Path loss is also influenced by terrain contours, environment urban or rural, vegetation ..., and the height and location of antennas. Causes Path loss normally includes propagation ... path loss model In the study of wireless communications, path loss can be represented by the path loss ... and other indoor environments, the path loss exponent can reach values in the range of 4 to 6. On the other hand, a tunnel may act as a waveguide , resulting in a path loss exponent less than 2. Path loss is usually expressed in decibel dB . In its simplest form, the path loss can be calculated using the formula math L 10 n log 10 d C math where math L math is the path loss in decibels, math n math is the path loss exponent, math d math is the distance between the transmitter and the receiver, usually ... transmission equation for the path loss between two isotropic antennas in free space Path loss in decibel dB math L 20 log 10 left frac 4 pi d lambda right math where math L math is the path loss in decibels ... in the same units as the wavelength. Prediction Calculation of the path loss is usually called prediction ... propagation or the flat earth model . For practical cases the path loss is calculated using a variety ... , W.C.Y. Lee , and Erceg . For FM radio and TV broadcasting the path loss is most commonly predicted ... such method. These methods are expected to produce more accurate and reliable predictions of the path ... and feeds is the finite difference time domain method . The path loss in other frequency ...   more details



  1. Path of Destruction

    Path of Destruction may refer to Path of Destruction film Path of Destruction film , a 2005 made for TV film Path of Destruction Thunderbirds episode Path of Destruction Thunderbirds episode Star Wars Darth Bane Path of Destruction , a novel Path of Destruction nonfiction Path of Destruction nonfiction , a book by John McQuaid and Mark Schleifstein disambig nl Path of Destruction ...   more details



  1. Path dependence

    About path dependence in economics and social sciences a similar topic in physics Path dependence physics Path dependence explains how the set of decisions one faces for any given circumstance is limited .... ref Definition from http poopthebook.com blog ?p 20 Our Love Of Sewers A Lesson in Path Dependence , Dave Praeger, 15 June 2008. ref In economics and the social science s path dependence can refer ... page 981 quote Most generally, path dependence means that where we go next depends not only ... path dependence can be weak the efficiency of the chosen path is tied with some alternatives , semi strong, the chosen path is not the best but not worth fixing, or strong the chosen path is highly ... states isn t notable ref cite journal author Bella che, Jo l year title On the path dependence ... are path dependent, and the phenomenon of dependence of history might be ignored for short period ... compare Option style Non vanilla path dependent exotic options path dependent options in finance , where ... it to win the standards battle . An alternative analysis is that VHS was Videotape format ..., path dependence had little to do with VHS s success, which would have occurred even if Betamax ... effects are at the origin of path dependence. They lead to a reinforcing pattern, in which industries ... other situations. Economics Path dependency theory was originally developed by economists to explain ... of getting there. The outcome of a path dependent process will often not converge towards a unique ... of initial conditions or transitory events. With path dependence, both the starting point and accidental ... 2003 title Path Creation, Path Dependency, and Alternative Theories of the Firm journal Journal of Economic ... regarded as the foundation of path dependency David 1985 Arthur 1989, 1990 . ref that a standard ... in computer keyboards . He called this path dependence , ref cite journal author Paul David year 1985 ... analysis ref and said that inferior standards can persist simply because of the Legacy system legacy ...   more details



  1. Critical Path

    Critical Path may refer to The Critical Path, the longest necessary path through a network of activities when respecting their interdependencies, which may be identified with the Program Evaluation and Review Technique and the Critical path method Critical Path book by Buckminster Fuller, 1981 The Critical Path An Essay on the Social Context of Literary Criticism The Critical Path , book by Northrop Frye , 1971 Critical Path video game , an interactive movie computer game Critical Path, Inc. , provider of messaging services Critical Path Institute , organization for improvement of the drug development process disambig th ...   more details



  1. The Golden Path

    The Golden Path may refer to The Golden Path song The Golden Path song , a song by The Chemical Brothers The Golden Path TV series The Golden Path TV series , a Singaporean Chinese drama series The Golden Path computer game The Golden Path computer game , a 1986 graphical adventure game Golden Path Dune , a fictional concept in Frank Herbert s Dune universe Golden Path genome assembly , in genome projects, a feature of genome assembly Golden Path, a medieval European salt trade route beginning in Passau, Bavaria, and passing through Prachatice , Bohemia disambig sk Zlat cesta ...   more details



  1. Induced path

    Image Snakeinthebox.svg thumb An induced path of length four in a hypercube graph cube . Finding the longest induced path in a hypercube is known as the snake in the box problem. In the mathematics mathematical area of graph theory , an induced path in an undirected graph G is a path graph theory path ... are not connected by any edge in G . An induced path is sometimes called a snake , and the problem ... of a hole. The length of the longest induced path in a graph has sometimes been called the detour number of the graph. ref harvtxt Buckley Harary 1988 . ref The induced path number of a graph G is the smallest ... Chartrand McCanna Sherwani Hossain 1994 . ref and the closely related path cover number of G is the smallest ... The illustration shows a cube, a graph with eight vertices and twelve edges, and an induced path of length four in this graph. A straightforward case analysis shows that there can be no longer induced path in the cube, although it has an induced cycle of length six. The problem of finding the longest induced path or cycle in a hypercube, first posed by harvtxt Kautz 1958 , is known as the snake in the box ... with no induced path of length two are the complete graph s, and the connected graphs with no induced ... three. The cograph s are exactly the graphs with no induced path of length three. The chordal ... s are the graphs that have neither an induced path of length three nor an induced cycle of length ... antihole. The distance hereditary graph s are the graphs in which every induced path is a shortest path, and the graphs in which every two induced paths between the same two vertices have the same length. The block graph s are the graphs in which there is at most one induced path between any ... path between every two vertices. Algorithms and complexity It is NP complete to determine, for a graph G and parameter k , whether the graph has an induced path of length at least k . harvtxt Garey Johnson ..., determining the induced path number of a graph is NP hard. The complexity of approximating the longest ...   more details



  1. Optical path

    Unreferenced date December 2009 The path that light takes in traversing an optical system is often called the optical path . The physical length of an optical device can be reduced to less than the length of the optical path by using folded optics . The optical path length as defined in optics is the length of the path multiplied by the index of refraction of the medium. See also Optical path length DEFAULTSORT Optical path Category Optics Optics stub de Strahlengang it Cammino ottico sv Str lg ng ...   more details



  1. Flare path

    Flare path may refer to an Runway Runway lighting illuminated runway in military terminology Flare Path play Flare Path play , a play by Terence Rattigan set near an RAF base Disambiguation ...   more details




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