Even Cycles In Graphs With Many Odd Cycles
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Even Cycles In Graphs With Many Odd Cycles
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Author : Ralph J. Faudree
language : en
Publisher:
Release Date : 1998
Even Cycles In Graphs With Many Odd Cycles written by Ralph J. Faudree and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Graph theory categories.
Abstract: "It will be shown that if G is a graph of order n containing a triangle, a cycle of length n or n-1 and at least cn odd cycles of different lengths for some positive constant c, then there exists some positive constant k such that G contains at least kn[superscript 1/6] even cycles of different lengths. Other results on the number of even cycle lengths implied by odd cycle lengths will be given."
Cycles In Graphs
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Author : B.R. Alspach
language : en
Publisher: Elsevier
Release Date : 1985-08-01
Cycles In Graphs written by B.R. Alspach and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-08-01 with Mathematics categories.
This volume deals with a variety of problems involving cycles in graphs and circuits in digraphs. Leading researchers in this area present here 3 survey papers and 42 papers containing new results. There is also a collection of unsolved problems.
Bipartite Graphs And Their Applications
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Author : Armen S. Asratian
language : en
Publisher: Cambridge University Press
Release Date : 1998-07-13
Bipartite Graphs And Their Applications written by Armen S. Asratian and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-13 with Mathematics categories.
This is the first book which deals solely with bipartite graphs. Together with traditional material, the reader will also find many new and unusual results. Essentially all proofs are given in full; many of these have been streamlined specifically for this text. Numerous exercises of all standards have also been included. The theory is illustrated with many applications especially to problems in timetabling, Chemistry, Communication Networks and Computer Science. For the most part the material is accessible to any reader with a graduate understanding of mathematics. However, the book contains advanced sections requiring much more specialized knowledge, which will be of interest to specialists in combinatorics and graph theory.
Local Conditions For Cycles In Graphs
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Author : Jonas Granholm
language : en
Publisher: Linköping University Electronic Press
Release Date : 2019-05-06
Local Conditions For Cycles In Graphs written by Jonas Granholm and has been published by Linköping University Electronic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-06 with categories.
A Hamilton cycle in a graph is a cycle that passes through every vertex of the graph. A graph is called Hamiltonian if it contains such a cycle. The problem of determining if a graph is Hamiltonian has been studied extensively, and there are many known sufficient conditions for Hamiltonicity. A large portion of these conditions relate the degrees of vertices of the graph to the number of vertices in the entire graph, and thus they can only apply to a limited set of graphs with high edge density. In a series of papers, Asratian and Khachatryan developed local analogues of some of these criteria. These results do not suffer from the same drawbacks as their global counterparts, and apply to wider classes of graphs. In this thesis we study this approach of creating local conditions for Hamiltonicity, and use it to develop local analogues of some classic results. We also study how local criteria can influence other global properties of graphs. Finally, we will see how these local conditions can allow us to extend theorems on Hamiltonicity to infinite graphs.
Combinatorial Mathematics
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Author : Douglas B. West
language : en
Publisher: Cambridge University Press
Release Date : 2020-07-16
Combinatorial Mathematics written by Douglas B. West and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-16 with Mathematics categories.
This is the most readable and thorough graduate textbook and reference for combinatorics, covering enumeration, graphs, sets, and methods.
Approximation Randomization And Combinatorial Optimization Algorithms And Techniques
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Author : Ashish Goel
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-12
Approximation Randomization And Combinatorial Optimization Algorithms And Techniques written by Ashish Goel 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 2008-08-12 with Computers categories.
This book constitutes the joint refereed proceedings of the 11th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2008 and the 12th International Workshop on Randomization and Computation, RANDOM 2008, held in Boston, MA, USA, in August 2008. The 20 revised full papers of the APPROX 2008 workshop were carefully reviewed and selected from 42 submissions and focus on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM 2008 is concerned with applications of randomness to computational and combinatorial problems and accounts for 27 revised full papers, also diligently reviewed and selected out of 52 workshop submissions.
Topics In Graph Theory
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Author : Frank Harary
language : en
Publisher:
Release Date : 1979
Topics In Graph Theory written by Frank Harary and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
"This series of papers is the result of the Academy's scientist-in reseidence program honoring Professor Harary on May 2-6, 1977.
Recent Trends In Combinatorics
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Author : Andrew Beveridge
language : en
Publisher: Springer
Release Date : 2016-04-12
Recent Trends In Combinatorics written by Andrew Beveridge and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-12 with Mathematics categories.
This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part structure of the volume reflects the three workshops held during Fall 2014. In the first part, topics on extremal and probabilistic combinatorics are presented; part two focuses on additive and analytic combinatorics; and part three presents topics in geometric and enumerative combinatorics. This book will be of use to those who research combinatorics directly or apply combinatorial methods to other fields.
Graphs And Networks
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Author : S. R. Kingan
language : en
Publisher: John Wiley & Sons
Release Date : 2022-04-28
Graphs And Networks written by S. R. Kingan and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-28 with Mathematics categories.
Graphs and Networks A unique blend of graph theory and network science for mathematicians and data science professionals alike. Featuring topics such as minors, connectomes, trees, distance, spectral graph theory, similarity, centrality, small-world networks, scale-free networks, graph algorithms, Eulerian circuits, Hamiltonian cycles, coloring, higher connectivity, planar graphs, flows, matchings, and coverings, Graphs and Networks contains modern applications for graph theorists and a host of useful theorems for network scientists. The book begins with applications to biology and the social and political sciences and gradually takes a more theoretical direction toward graph structure theory and combinatorial optimization. A background in linear algebra, probability, and statistics provides the proper frame of reference. Graphs and Networks also features: Applications to neuroscience, climate science, and the social and political sciences A research outlook integrated directly into the narrative with ideas for students interested in pursuing research projects at all levels A large selection of primary and secondary sources for further reading Historical notes that hint at the passion and excitement behind the discoveries Practice problems that reinforce the concepts and encourage further investigation and independent work
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.