Convexity And Graph Theory
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Convexity And Graph Theory
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Author : M. Rosenfeld
language : en
Publisher: Elsevier
Release Date : 1984-01-01
Convexity And Graph Theory written by M. Rosenfeld and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-01 with Mathematics categories.
Among the participants discussing recent trends in their respective fields and in areas of common interest in these proceedings are such world-famous geometers as H.S.M. Coxeter, L. Danzer, D.G. Larman and J.M. Wills, and equally famous graph-theorists B. Bollobás, P. Erdös and F. Harary. In addition to new results in both geometry and graph theory, this work includes articles involving both of these two fields, for instance ``Convexity, Graph Theory and Non-Negative Matrices'', ``Weakly Saturated Graphs are Rigid'', and many more. The volume covers a broad spectrum of topics in graph theory, geometry, convexity, and combinatorics. The book closes with a number of abstracts and a collection of open problems raised during the conference.
Geodesic Convexity In Graphs
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Author : Ignacio M. Pelayo
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-06
Geodesic Convexity In Graphs written by Ignacio M. Pelayo 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 2013-09-06 with Mathematics categories.
Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively on the geodesic convexity, including motivation and background, specific definitions, discussion and examples, results, proofs, exercises and open problems. The main and most studied parameters involving geodesic convexity in graphs are both the geodetic and the hull number which are defined as the cardinality of minimum geodetic and hull set, respectively. This text reviews various results, obtained during the last one and a half decade, relating these two invariants and some others such as convexity number, Steiner number, geodetic iteration number, Helly number, and Caratheodory number to a wide range a contexts, including products, boundary-type vertex sets, and perfect graph families. This monograph can serve as a supplement to a half-semester graduate course in geodesic convexity but is primarily a guide for postgraduates and researchers interested in topics related to metric graph theory and graph convexity theory.
Convexity And Discrete Geometry Including Graph Theory
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Author : Karim Adiprasito
language : en
Publisher: Springer
Release Date : 2016-05-02
Convexity And Discrete Geometry Including Graph Theory written by Karim Adiprasito and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-02 with Mathematics categories.
This volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7–11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary. The contributions address subjects in convexity and discrete geometry, in distance geometry or with geometrical flavor in combinatorics, graph theory or non-linear analysis. Written by top experts, these papers highlight the close connections between these fields, as well as ties to other domains of geometry and their reciprocal influence. They offer an overview on recent developments in geometry and its border with discrete mathematics, and provide answers to several open questions. The volume addresses a large audience in mathematics, including researchers and graduate students interested in geometry and geometrical problems.
An Algorithmic Theory Of Numbers Graphs And Convexity
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Author : Laszlo Lovasz
language : en
Publisher: SIAM
Release Date : 1987-01-01
An Algorithmic Theory Of Numbers Graphs And Convexity written by Laszlo Lovasz and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Mathematics categories.
Studies two algorithms in detail: the ellipsoid method and the simultaneous diophantine approximation method.
Convexity In Discrete Structures
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Author : Manoj Changat
language : en
Publisher:
Release Date : 2010
Convexity In Discrete Structures written by Manoj Changat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Convex domains categories.
Convexity In Graphs
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Author : John L. Pfaltz
language : en
Publisher:
Release Date : 1968
Convexity In Graphs written by John L. Pfaltz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Computer graphics categories.
A natural concept of convexity for directed graphs is introduced, and properties of the lattice of convex subgraphs of a graph are studied. The extent to which this lattice determines the graph is established, and conditions for a lattice to be a convex subgraph lattice are investigated. The concept of a lower semi-homomorphism is defined for lattices; it is shown that such mappings preserve basic properties of convex subgraph lattices, and that on such lattices, they are uniquely determined by their kernels. Graph homomorphisms which preserve convexity are also studied, with emphasis on their relationship to lower semi-homomorphisms of the convex subgraph lattice. Homomorphisms which 'contract' subgraphs (which are analogous to the rewriting rules of context-sensitive phrase structure grammars) are briefly considered. Finally, a concept of local convexity for directed graphs is introduced. (Author).
1981 International Conference On Convexity And Graph Theory
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Author :
language : en
Publisher:
Release Date : 1981
1981 International Conference On Convexity And Graph Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Combinatorial Convexity
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Author : Imre Bárány
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-11-04
Combinatorial Convexity written by Imre Bárány and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-04 with Education categories.
This book is about the combinatorial properties of convex sets, families of convex sets in finite dimensional Euclidean spaces, and finite points sets related to convexity. This area is classic, with theorems of Helly, Carathéodory, and Radon that go back more than a hundred years. At the same time, it is a modern and active field of research with recent results like Tverberg's theorem, the colourful versions of Helly and Carathéodory, and the (p,q) (p,q) theorem of Alon and Kleitman. As the title indicates, the topic is convexity and geometry, and is close to discrete mathematics. The questions considered are frequently of a combinatorial nature, and the proofs use ideas from geometry and are often combined with graph and hypergraph theory. The book is intended for students (graduate and undergraduate alike), but postdocs and research mathematicians will also find it useful. It can be used as a textbook with short chapters, each suitable for a one- or two-hour lecture. Not much background is needed: basic linear algebra and elements of (hyper)graph theory as well as some mathematical maturity should suffice.
Convexity In Discrete Structures
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Author : Manoj Changat
language : en
Publisher:
Release Date : 2008
Convexity In Discrete Structures written by Manoj Changat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Convex domains categories.
Topics In Graph Theory
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Author : Wilfried Imrich
language : en
Publisher: CRC Press
Release Date : 2008-10-27
Topics In Graph Theory written by Wilfried Imrich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-27 with Mathematics categories.
From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products. Many new results in this area appear for the first time in print in this book. Written in an accessible way,