Fractional Graph Theory

Fractional Graph Theory Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Fractional Graph Theory book. This book definitely worth reading, it is an incredibly well-written.

Fractional Graph Theory

Edward R. Scheinerman,Daniel H. Ullman
Fractional Graph Theory Book PDF

Author : Edward R. Scheinerman,Daniel H. Ullman
Publisher : Courier Corporation
Page : 240 pages
File Size : 54,7 Mb
Release : 2013-04-29
Category : Mathematics
ISBN : 9780486292137

Get Book

Fractional Graph Theory by Edward R. Scheinerman,Daniel H. Ullman Pdf

This volume explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics: fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and more. 1997 edition.

Computational Geometry and Graph Theory

Hiro Ito,Mikio Kano,Naoki Katoh
Computational Geometry and Graph Theory Book PDF

Author : Hiro Ito,Mikio Kano,Naoki Katoh
Publisher : Springer Science & Business Media
Page : 245 pages
File Size : 50,5 Mb
Release : 2008-11-13
Category : Computers
ISBN : 9783540895497

Get Book

Computational Geometry and Graph Theory by Hiro Ito,Mikio Kano,Naoki Katoh Pdf

This book constitutes the thoroughly refereed post-conference proceedings of the Kyoto Conference on Computational Geometry and Graph Theory, KyotoCGGT 2007, held in Kyoto, Japan, in June 2007, in honor of Jin Akiyama and Vašek Chvátal, on the occasion of their 60th birthdays. The 19 revised full papers, presented together with 5 invited papers, were carefully selected during two rounds of reviewing and improvement from more than 60 talks at the conference. All aspects of Computational Geometry and Graph Theory are covered, including tilings, polygons, impossible objects, coloring of graphs, Hamilton cycles, and factors of graphs.

Algebraic Graph Theory

Chris Godsil,Gordon F. Royle
Algebraic Graph Theory Book PDF

Author : Chris Godsil,Gordon F. Royle
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 51,9 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461301639

Get Book

Algebraic Graph Theory by Chris Godsil,Gordon F. Royle Pdf

This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.

Graph Theory

Ralucca Gera,Teresa W. Haynes,Stephen T. Hedetniemi
Graph Theory Book PDF

Author : Ralucca Gera,Teresa W. Haynes,Stephen T. Hedetniemi
Publisher : Springer
Page : 281 pages
File Size : 50,9 Mb
Release : 2018-10-26
Category : Mathematics
ISBN : 9783319976860

Get Book

Graph Theory by Ralucca Gera,Teresa W. Haynes,Stephen T. Hedetniemi Pdf

This second volume in a two-volume series provides an extensive collection of conjectures and open problems in graph theory. It is designed for both graduate students and established researchers in discrete mathematics who are searching for research ideas and references. Each chapter provides more than a simple collection of results on a particular topic; it captures the reader’s interest with techniques that worked and failed in attempting to solve particular conjectures. The history and origins of specific conjectures and the methods of researching them are also included throughout this volume. Students and researchers can discover how the conjectures have evolved and the various approaches that have been used in an attempt to solve them. An annotated glossary of nearly 300 graph theory parameters, 70 conjectures, and over 600 references is also included in this volume. This glossary provides an understanding of parameters beyond their definitions and enables readers to discover new ideas and new definitions in graph theory. The editors were inspired to create this series of volumes by the popular and well-attended special sessions entitled “My Favorite Graph Theory Conjectures,” which they organized at past AMS meetings. These sessions were held at the winter AMS/MAA Joint Meeting in Boston, January 2012, the SIAM Conference on Discrete Mathematics in Halifax in June 2012, as well as the winter AMS/MAA Joint Meeting in Baltimore in January 2014, at which many of the best-known graph theorists spoke. In an effort to aid in the creation and dissemination of conjectures and open problems, which is crucial to the growth and development of this field, the editors invited these speakers, as well as other experts in graph theory, to contribute to this series.

Graphs and Homomorphisms

Pavol Hell,Jaroslav Nesetril
Graphs and Homomorphisms Book PDF

Author : Pavol Hell,Jaroslav Nesetril
Publisher : OUP Oxford
Page : 260 pages
File Size : 45,8 Mb
Release : 2004-07-22
Category : Mathematics
ISBN : 9780191523724

Get Book

Graphs and Homomorphisms by Pavol Hell,Jaroslav Nesetril Pdf

This is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics. Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro). The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided. The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.

Topics in Domination in Graphs

Teresa W. Haynes,Stephen T. Hedetniemi,Michael A. Henning
Topics in Domination in Graphs Book PDF

Author : Teresa W. Haynes,Stephen T. Hedetniemi,Michael A. Henning
Publisher : Springer Nature
Page : 545 pages
File Size : 40,5 Mb
Release : 2020-10-19
Category : Mathematics
ISBN : 9783030511173

Get Book

Topics in Domination in Graphs by Teresa W. Haynes,Stephen T. Hedetniemi,Michael A. Henning Pdf

This volume comprises 16 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The focus is on primary dominating sets such as paired domination, connected domination, restrained domination, dominating functions, Roman domination, and power domination. Additionally, surveys include known results with a sample of proof techniques for each parameter. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms; the second chapter provides an overview of models of domination from which the parameters are defined. The book is intended to provide a reference for established researchers in the fields of domination and graph theory and graduate students who wish to gain knowledge of the topics covered as well as an overview of the major accomplishments in the field and proof techniques used.

The Petersen Graph

D. A. Holton,J. Sheehan
The Petersen Graph Book PDF

Author : D. A. Holton,J. Sheehan
Publisher : Cambridge University Press
Page : 367 pages
File Size : 48,5 Mb
Release : 1993-04-22
Category : Mathematics
ISBN : 9780521435949

Get Book

The Petersen Graph by D. A. Holton,J. Sheehan Pdf

The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.

Algebraic Graph Theory

Ulrich Knauer,Kolja Knauer
Algebraic Graph Theory Book PDF

Author : Ulrich Knauer,Kolja Knauer
Publisher : Walter de Gruyter GmbH & Co KG
Page : 349 pages
File Size : 53,8 Mb
Release : 2019-10-08
Category : Mathematics
ISBN : 9783110617368

Get Book

Algebraic Graph Theory by Ulrich Knauer,Kolja Knauer Pdf

Graph models are extremely useful for a large number of applications as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones, social networks – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. The focus of this highly self-contained book is on homomorphisms and endomorphisms, matrices and eigenvalues.

Graph Theory in Paris

Adrian Bondy,Jean Fonlupt,Jean-Luc Fouquet,Jean-Claude Fournier,Jorge L. Ramírez Alfonsín
Graph Theory in Paris Book PDF

Author : Adrian Bondy,Jean Fonlupt,Jean-Luc Fouquet,Jean-Claude Fournier,Jorge L. Ramírez Alfonsín
Publisher : Springer Science & Business Media
Page : 387 pages
File Size : 50,9 Mb
Release : 2006-12-22
Category : Mathematics
ISBN : 9783764374006

Get Book

Graph Theory in Paris by Adrian Bondy,Jean Fonlupt,Jean-Luc Fouquet,Jean-Claude Fournier,Jorge L. Ramírez Alfonsín Pdf

In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from many of the participants.

Hypergraphs

C. Berge
Hypergraphs Book PDF

Author : C. Berge
Publisher : Elsevier
Page : 267 pages
File Size : 45,6 Mb
Release : 1984-05-01
Category : Mathematics
ISBN : 9780080880235

Get Book

Hypergraphs by C. Berge Pdf

Graph Theory has proved to be an extremely useful tool for solving combinatorial problems in such diverse areas as Geometry, Algebra, Number Theory, Topology, Operations Research and Optimization. It is natural to attempt to generalise the concept of a graph, in order to attack additional combinatorial problems. The idea of looking at a family of sets from this standpoint took shape around 1960. In regarding each set as a ``generalised edge'' and in calling the family itself a ``hypergraph'', the initial idea was to try to extend certain classical results of Graph Theory such as the theorems of Turán and König. It was noticed that this generalisation often led to simplification; moreover, one single statement, sometimes remarkably simple, could unify several theorems on graphs. This book presents what seems to be the most significant work on hypergraphs.

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

Krishnaiyan "KT" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki
Handbook of Graph Theory Combinatorial Optimization and Algorithms Book PDF

Author : Krishnaiyan "KT" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki
Publisher : CRC Press
Page : 1217 pages
File Size : 44,8 Mb
Release : 2016-01-05
Category : Computers
ISBN : 9781420011074

Get Book

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms by Krishnaiyan "KT" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki Pdf

The fusion between graph theory and combinatorial optimization has led to theoretically profound and practically useful algorithms, yet there is no book that currently covers both areas together. Handbook of Graph Theory, Combinatorial Optimization, and Algorithms is the first to present a unified, comprehensive treatment of both graph theory and c

Combinatorics and Graph Theory

John Harris,Jeffry L. Hirst,Michael Mossinghoff
Combinatorics and Graph Theory Book PDF

Author : John Harris,Jeffry L. Hirst,Michael Mossinghoff
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 52,7 Mb
Release : 2009-04-03
Category : Mathematics
ISBN : 9780387797113

Get Book

Combinatorics and Graph Theory by John Harris,Jeffry L. Hirst,Michael Mossinghoff Pdf

These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.

Brooks' Theorem

Michael Stiebitz,Thomas Schweser,Bjarne Toft
Brooks Theorem Book PDF

Author : Michael Stiebitz,Thomas Schweser,Bjarne Toft
Publisher : Springer Nature
Page : 663 pages
File Size : 53,6 Mb
Release : 2024
Category : Graph theory
ISBN : 9783031500657

Get Book

Brooks' Theorem by Michael Stiebitz,Thomas Schweser,Bjarne Toft Pdf

Brooks' Theorem (1941) is one of the most famous and fundamental theorems in graph theory -- it is mentioned/treated in all general monographs on graph theory. It has sparked research in several directions. This book presents a comprehensive overview of this development and see it in context. It describes results, both early and recent, and explains relations: the various proofs, the many extensions and similar results for other graph parameters. It serves as a valuable reference to a wealth of information, now scattered in journals, proceedings and dissertations. The reader gets easy access to this wealth of information in comprehensive form, including best known proofs of the results described. Each chapter ends in a note section with historical remarks, comments and further results. The book is also suitable for graduate courses in graph theory and includes exercises. The book is intended for readers wanting to dig deeper into graph coloring theory than what is possible in the existing book literature. There is a comprehensive list of references to original sources.

Graph Colouring and the Probabilistic Method

Michael Molloy,Bruce Reed
Graph Colouring and the Probabilistic Method Book PDF

Author : Michael Molloy,Bruce Reed
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 40,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783642040160

Get Book

Graph Colouring and the Probabilistic Method by Michael Molloy,Bruce Reed Pdf

Over the past decade, many major advances have been made in the field of graph coloring via the probabilistic method. This monograph, by two of the best on the topic, provides an accessible and unified treatment of these results, using tools such as the Lovasz Local Lemma and Talagrand's concentration inequality.

Topics in Chromatic Graph Theory

Lowell W. Beineke,Robin J. Wilson
Topics in Chromatic Graph Theory Book PDF

Author : Lowell W. Beineke,Robin J. Wilson
Publisher : Cambridge University Press
Page : 584 pages
File Size : 54,8 Mb
Release : 2015-05-07
Category : Mathematics
ISBN : 9781316239858

Get Book

Topics in Chromatic Graph Theory by Lowell W. Beineke,Robin J. Wilson Pdf

Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material, no other title has such a wide scope as this one, in which acknowledged international experts in the field provide a broad survey of the subject. All fifteen chapters have been carefully edited, with uniform notation and terminology applied throughout. Bjarne Toft (Odense, Denmark), widely recognized for his substantial contributions to the area, acted as academic consultant. The book serves as a valuable reference for researchers and graduate students in graph theory and combinatorics and as a useful introduction to the topic for mathematicians in related fields.