Paths And Cycles In Digraphs
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Paths And Cycles In Digraphs
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Author : Saddam Zaid
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2012-08
Paths And Cycles In Digraphs written by Saddam Zaid 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 2012-08 with categories.
This book is intended to investigate a famous conjecture in Graph Theory proposed by Caccetta and Haggkvist in 1978. The book demonstrates the conjecture which has two forms, and the equivalence of the two forms of the conjecture is proven. The conjecture relates the outdegree of the vertices in a digraph along with the existence of a short directed cycle of certain length in that digraph. Here, two main approaches to resolve the conjecture will be described. The first approach is by Hamidoune to prove the conjecture if the outdegree of each vertex in the digraph is at most three. The second approach is by Hoang and Reed to prove the conjecture if the outdegree of each vertex in the digraph is at most five. Both these approaches are investigated in detail and new techniques are developed in order to be used for subsequent research. Occasionally, the techniques used to prove the conjecture if the outdegree of each vertex is five can also be used to prove the conjecture if the outdegree of each vertex is six.
Tools For Studying Paths And Cycles In Digraphs
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Author : Charles Delorme
language : en
Publisher:
Release Date : 1996
Tools For Studying Paths And Cycles In Digraphs written by Charles Delorme and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Directed graphs categories.
Paths And Cycles In Semicomplete Digraphs
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Author : Marjorie Anne Darrah
language : en
Publisher:
Release Date : 1995
Paths And Cycles In Semicomplete Digraphs written by Marjorie Anne Darrah and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Directed graphs categories.
Disjoint Directed And Undirected Paths And Cycles In Digraphs
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Author : Jørgen Bang-Jensen
language : en
Publisher:
Release Date : 2009
Disjoint Directed And Undirected Paths And Cycles In Digraphs written by Jørgen Bang-Jensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Digraphs
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Author : Jorgen Bang-Jensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Digraphs written by Jorgen Bang-Jensen 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 2013-06-29 with Mathematics categories.
The study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.
Digraphs
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Author : Jørgen Bang-Jensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-17
Digraphs written by Jørgen Bang-Jensen 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 2008-12-17 with Mathematics categories.
Substantially revised, reorganised and updated, the second edition now comprises eighteen chapters, carefully arranged in a straightforward and logical manner, with many new results and open problems. As well as covering the theoretical aspects of the subject, with detailed proofs of many important results, the authors present a number of algorithms, and whole chapters are devoted to topics such as branchings, feedback arc and vertex sets, connectivity augmentations, sparse subdigraphs with prescribed connectivity, and also packing, covering and decompositions of digraphs. Throughout the book, there is a strong focus on applications which include quantum mechanics, bioinformatics, embedded computing, and the travelling salesman problem. Detailed indices and topic-oriented chapters ease navigation, and more than 650 exercises, 170 figures and 150 open problems are included to help immerse the reader in all aspects of the subject.
Hamiltonian Paths And Cycles Number Of Arcs And Independence Number In Digraphs
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Author : Yannis Manoussakis
language : en
Publisher:
Release Date : 1989
Hamiltonian Paths And Cycles Number Of Arcs And Independence Number In Digraphs written by Yannis Manoussakis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Path And Cycle Decompositions Of Graphs And Digraphs
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Author : Bertille Granet
language : en
Publisher:
Release Date : 2022
Path And Cycle Decompositions Of Graphs And Digraphs written by Bertille Granet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
Cycles And Paths Of Many Lengths In Bipartite Digraphs
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Author : Denise Amar
language : en
Publisher:
Release Date : 1986
Cycles And Paths Of Many Lengths In Bipartite Digraphs written by Denise Amar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Directed graphs categories.
Vertex Heaviest Paths And Cycles In Quasi Transitive Digraphs
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Author : Jørgen Bang-Jensen
language : en
Publisher:
Release Date : 1994
Vertex Heaviest Paths And Cycles In Quasi Transitive Digraphs written by Jørgen Bang-Jensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.