Generalized Distance In Graphs
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Generalized Distance In Graphs
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Author : Garry L. Johns
language : en
Publisher:
Release Date : 1988
Generalized Distance In Graphs written by Garry L. Johns and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Graph theory categories.
Encyclopedia Of Distances
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Author : Michel Marie Deza
language : en
Publisher: Springer
Release Date : 2016-08-16
Encyclopedia Of Distances written by Michel Marie Deza and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-16 with Mathematics categories.
This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics. Though the structure remains unchanged, the new edition also explores recent advances in the use of distances and metrics for e.g. generalized distances, probability theory, graph theory, coding theory, data analysis. New topics in the purely mathematical sections include e.g. the Vitanyi multiset-metric, algebraic point-conic distance, triangular ratio metric, Rossi-Hamming metric, Taneja distance, spectral semimetric between graphs, channel metrization, and Maryland bridge distance. The multidisciplinary sections have also been supplemented with new topics, including: dynamic time wrapping distance, memory distance, allometry, atmospheric depth, elliptic orbit distance, VLBI distance measurements, the astronomical system of units, and walkability distance. Leaving aside the practical questions that arise during the selection of a ‘good’ distance function, this work focuses on providing the research community with an invaluable comprehensive listing of the main available distances. As well as providing standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core entries. In addition to distances themselves, the authors have collated numerous fascinating curiosities in their Who’s Who of metrics, including distance-related notions and paradigms that enable applied mathematicians in other sectors to deploy research tools that non-specialists justly view as arcane. In expanding access to these techniques, and in many cases enriching the context of distances themselves, this peerless volume is certain to stimulate fresh research.
Distance In Graphs
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Author : Fred Buckley
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1990-01-21
Distance In Graphs written by Fred Buckley and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-21 with Mathematics categories.
Distances And Domination In Graphs
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Author : Ismael González Yero
language : en
Publisher: MDPI
Release Date : 2020-11-18
Distances And Domination In Graphs written by Ismael González Yero and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-18 with Mathematics categories.
This book presents a compendium of the 10 articles published in the recent Special Issue “Distance and Domination in Graphs”. The works appearing herein deal with several topics on graph theory that relate to the metric and dominating properties of graphs. The topics of the gathered publications deal with some new open lines of investigations that cover not only graphs, but also digraphs. Different variations in dominating sets or resolving sets are appearing, and a review on some networks’ curvatures is also present.
Distance Regular Graphs
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Author : Andries E. Brouwer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Distance Regular Graphs written by Andries E. Brouwer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Ever since the discovery of the five platonic solids in ancient times, the study of symmetry and regularity has been one of the most fascinating aspects of mathematics. Quite often the arithmetical regularity properties of an object imply its uniqueness and the existence of many symmetries. This interplay between regularity and symmetry properties of graphs is the theme of this book. Starting from very elementary regularity properties, the concept of a distance-regular graph arises naturally as a common setting for regular graphs which are extremal in one sense or another. Several other important regular combinatorial structures are then shown to be equivalent to special families of distance-regular graphs. Other subjects of more general interest, such as regularity and extremal properties in graphs, association schemes, representations of graphs in euclidean space, groups and geometries of Lie type, groups acting on graphs, and codes are covered independently. Many new results and proofs and more than 750 references increase the encyclopaedic value of this book.
Dynamics Resource Location On Generalized Distance Metrics
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Author : David Jacob Wildstrom
language : en
Publisher:
Release Date : 2007
Dynamics Resource Location On Generalized Distance Metrics written by David Jacob Wildstrom and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
The necessary information to optimally serve sequential requests at the vertices of an undirected, unweighted graph with a single mobile resource is a known result of Chung, Graham, and Saks; however, generalizations of this concept to directed and weighted graphs present unforeseen and surprising changes in the necessary lookahead for strategic optimization. This research investigates the necessary information to provide an optimal-cost relocation schedule on directed graphs with arbitrary distance matrices. Traditional approaches as well as a novel algebraic framework are used to explore the distinctions between graphs which admit finite-lookahead optimization and those that do not. In particular, a method developed by Cuninghame-Green to model industrial process timing is, with modifications, effective for mapping and analyzing possible request sequences and their associated costs.
Some Problems In The Theory Of Distance Regular Graphs
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Author : Benjamin V. C. Collins
language : en
Publisher:
Release Date : 1996
Some Problems In The Theory Of Distance Regular Graphs written by Benjamin V. C. Collins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Hosoya Polynomials Of Steiner Distance Of Some Graphs
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Author : Herish O. Abdullah
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2011-05
Hosoya Polynomials Of Steiner Distance Of Some Graphs written by Herish O. Abdullah and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05 with categories.
The Steiner n-distance, d(S), of a non-empty n- subset S of vertices of a graph G is defined to be the size of the smallest connected subgraph T(S) containing S. The Hosoya polynomial of Steiner n- distance of a connected graph G is denoted by Hn* (G;x). In this work, we obtain Hosoya polynomials of Steiner n-distance(n is greater than or equal to 3 and less than or equal to the order of the graph) of some particular graphs; for other prescribed graphs, we obtain Hosoya polynomials of Steiner 3- distance. For some graphs G, we find reduction formulas for Hn*(G;x) or H3*(G;x). Wiener indices of the Steiner n-distance of most of the particular graphs and composite graphs considered here are also obtained. Moreover, the diameter of the Steiner n-distance for each one of these graphs is determined. Furthermore, Wiener index theorem for trees, which is due to H. Wiener, is generalized to Steiner n- distance of trees.
Graph Classes
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Author : Andreas Brandstadt
language : en
Publisher: SIAM
Release Date : 1999-01-01
Graph Classes written by Andreas Brandstadt and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.
This well-organized reference is a definitive encyclopedia for the literature on graph classes. It contains a survey of more than 200 classes of graphs, organized by types of properties used to define and characterize the classes, citing key theorems and literature references for each. The authors state results without proof, providing readers with easy access to far more key theorems than are commonly found in other mathematical texts. Interconnections between graph classes are also provided to make the book useful to a variety of readers.
Discrete Mathematics And Symmetry
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Author : Angel Garrido
language : en
Publisher: MDPI
Release Date : 2020-03-05
Discrete Mathematics And Symmetry written by Angel Garrido and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-05 with Mathematics categories.
Some of the most beautiful studies in Mathematics are related to Symmetry and Geometry. For this reason, we select here some contributions about such aspects and Discrete Geometry. As we know, Symmetry in a system means invariance of its elements under conditions of transformations. When we consider network structures, symmetry means invariance of adjacency of nodes under the permutations of node set. The graph isomorphism is an equivalence relation on the set of graphs. Therefore, it partitions the class of all graphs into equivalence classes. The underlying idea of isomorphism is that some objects have the same structure if we omit the individual character of their components. A set of graphs isomorphic to each other is denominated as an isomorphism class of graphs. The automorphism of a graph will be an isomorphism from G onto itself. The family of all automorphisms of a graph G is a permutation group.
