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Cycles And Paths Of Many Lengths In Bipartite Digraphs


Cycles And Paths Of Many Lengths In Bipartite Digraphs
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Cycles And Paths Of Many Lengths In Bipartite Digraphs


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.




Number Of Arcs Cycles And Paths In Bipartite Digraphs


Number Of Arcs Cycles And Paths In Bipartite Digraphs
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Author : Manolis Manoussakis
language : en
Publisher:
Release Date : 1986

Number Of Arcs Cycles And Paths In Bipartite Digraphs written by Manolis Manoussakis 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.




The Mathematics Of Paul Erd S Ii


The Mathematics Of Paul Erd S Ii
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Author : Ronald L. Graham
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Mathematics Of Paul Erd S Ii written by Ronald L. Graham 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.


In 1992, when Paul Erdos was awarded a Doctor Honoris Causa by Charles University in Prague, a small conference was held, bringing together a distin guished group of researchers with interests spanning a variety of fields related to Erdos' own work. At that gathering, the idea occurred to several of us that it might be quite appropriate at this point in Erdos' career to solicit a col lection of articles illustrating various aspects of Erdos' mathematical life and work. The response to our solicitation was immediate and overwhelming, and these volumes are the result. Regarding the organization, we found it convenient to arrange the papers into six chapters, each mirroring Erdos' holistic approach to mathematics. Our goal was not merely a (random) collection of papers but rather a thor oughly edited volume composed in large part by articles explicitly solicited to illustrate interesting aspects of Erdos and his life and work. Each chap ter includes an introduction which often presents a sample of related Erdos' problems "in his own words". All these (sometimes lengthy) introductions were written jointly by editors. We wish to thank the nearly 70 contributors for their outstanding efforts (and their patience). In particular, we are grateful to Bela Bollobas for his extensive documentation of Paul Erdos' early years and mathematical high points (in the first part of this volume); our other authors are acknowledged in their respective chapters. We also want to thank A. Bondy, G. Hahn, I.



The Mathematics Of Paul Erd S Ii


The Mathematics Of Paul Erd S Ii
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Author : Ronald L. Graham
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-04

The Mathematics Of Paul Erd S Ii written by Ronald L. Graham 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 2013-08-04 with Mathematics categories.


This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collection. A unique contribution is the bibliography on Erdős' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdős' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, and more biographical information about Paul Erdős with an updated list of publications. The second volume contains chapters on graph theory and combinatorics, extremal and Ramsey theory, and a section on infinity that covers Erdős' research on set theory. All of these chapters are essentially updated, particularly the extremal theory chapter that contains a survey of flag algebras, a new technique for solving extremal problems.



Extremal Paths In Graphs


Extremal Paths In Graphs
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Author : Ulrich Huckenbeck
language : en
Publisher: Wiley-VCH
Release Date : 1997

Extremal Paths In Graphs written by Ulrich Huckenbeck and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.




Combinatorics And Graph Theory


Combinatorics And Graph Theory
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Author : Zdzisław Skupień
language : en
Publisher:
Release Date : 1989

Combinatorics And Graph Theory written by Zdzisław Skupień and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Combinatorial analysis categories.




Digraphs


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.



Graphs Hypergraphs And Matroids Iii


Graphs Hypergraphs And Matroids Iii
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Author : Mieczysław Borowiecki
language : en
Publisher:
Release Date : 1989

Graphs Hypergraphs And Matroids Iii written by Mieczysław Borowiecki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Graph theory categories.




Graph Theory Newsletter


Graph Theory Newsletter
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Author :
language : en
Publisher:
Release Date : 1981

Graph Theory Newsletter 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 Graph theory categories.




Paths And Cycles In Digraphs


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.