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Distance In Graphs


Distance In Graphs
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Distance In Graphs


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


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


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.



Distances And Domination In Graphs


Distances And Domination In Graphs
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Author : Ismael González Yero
language : en
Publisher:
Release Date : 2020

Distances And Domination In Graphs written by Ismael González Yero and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with 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.



Hosoya Polynomials And Wiener Indices Of Distances In Graphs


Hosoya Polynomials And Wiener Indices Of Distances In Graphs
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Author : Ahmed M. Ali
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2011-07

Hosoya Polynomials And Wiener Indices Of Distances In Graphs written by Ahmed M. Ali 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 2011-07 with categories.


In this work, we deal with three types of distances, namely ordinary distance, the minimum distance (n-distance), and the width distance (w-distance). The ordinary distance between two distinct vertices u and v in a connected graph G is defined as the minimum of the lengths of all u-v paths in G, and usually denoted by dG(u, v), or d(u, v).The minimum distance in a connected graph G between a singleton vertex v belong to V and (n-1)-subset S of V, n 2, denoted by dn(u, v) and termed n-distance, is the minimum of the distances from v to the vertices in S.The container between two distinct vertices u and v in a connected graph G is defined as a set of vertex-disjoint u-v paths, and is denoted by C(u, v). The container width w = w(C(u, v)), is the number of paths in the container, i.e., w(C(u, v)) = C(u.v). The length of a container l = l(C(u, v)) is the length of a longest path in C(u, v).For every fixed positive integer w, the width distance (w-distance) between u and v is defined as: dn* (u, vG)= min l(C(u, v)), where the minimum is taken over all containers C(u, v) of width w. Assume that the vertices u and v are distinct when



Structural Analysis Of Complex Networks


Structural Analysis Of Complex Networks
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Author : Matthias Dehmer
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-14

Structural Analysis Of Complex Networks written by Matthias Dehmer 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 2010-10-14 with Mathematics categories.


Filling a gap in literature, this self-contained book presents theoretical and application-oriented results that allow for a structural exploration of complex networks. The work focuses not only on classical graph-theoretic methods, but also demonstrates the usefulness of structural graph theory as a tool for solving interdisciplinary problems. Applications to biology, chemistry, linguistics, and data analysis are emphasized. The book is suitable for a broad, interdisciplinary readership of researchers, practitioners, and graduate students in discrete mathematics, statistics, computer science, machine learning, artificial intelligence, computational and systems biology, cognitive science, computational linguistics, and mathematical chemistry. It may also be used as a supplementary textbook in graduate-level seminars on structural graph analysis, complex networks, or network-based machine learning methods.



Encyclopedia Of Distances


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.



Monophonic Distance In Graphs


Monophonic Distance In Graphs
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Author : P. Titus
language : en
Publisher:
Release Date : 2018

Monophonic Distance In Graphs written by P. Titus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.


For any two vertices u and v in a connected graph G, a u − v path is a monophonic path if it contains no chords, and the monophonic distance dm(u, v) is the length of a longest u − v monophonic path in G. For any vertex v in G, the monophonic eccentricity of v is em(v) = max {dm(u, v) : u ∈ V}. The subgraph induced by the vertices of G having minimum monophonic eccentricity is the monophonic center of G, and it is proved that every graph is the monophonic center of some graph. Also it is proved that the monophonic center of every connected graph G lies in some block of G. With regard to convexity, this monophonic distance is the basis of some detour monophonic parameters such as detour monophonic number, upper detour monophonic number, forcing detour monophonic number, et cetera The concept of detour monophonic sets and detour monophonic numbers by fixing a vertex of a graph would be introduced and discussed. Various interesting results based on these parameters are also discussed in this chapter.



On Distance In Graphs And Digraphs


On Distance In Graphs And Digraphs
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Author : Songlin Tian
language : en
Publisher:
Release Date : 1990

On Distance In Graphs And Digraphs written by Songlin Tian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Directed graphs categories.




Generalized Distance In Graphs


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.