Topics In Structural Graph Theory

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Topics in Structural Graph Theory

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

Author : Lowell W. Beineke,Robin J. Wilson
Publisher : Cambridge University Press
Page : 346 pages
File Size : 42,6 Mb
Release : 2012-11-08
Category : Mathematics
ISBN : 9781107244306

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

The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide scope. Ortrud R. Oellermann (Winnipeg), internationally recognised for her substantial contributions to structural graph theory, acted as academic consultant for this volume, helping shape its coverage of key topics. The result is a collection of thirteen expository chapters, each written by acknowledged experts. These contributions have been carefully edited to enhance readability and to standardise the chapter structure, terminology and notation throughout. An introductory chapter details the background material in graph theory and network flows and each chapter concludes with an extensive list of references.

Topics in Structural Graph Theory

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

Author : Lowell W. Beineke,Robin J. Wilson
Publisher : Unknown
Page : 327 pages
File Size : 55,7 Mb
Release : 2013
Category : Graph theory
ISBN : 1107247322

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

"The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide scope. Ortrud R. Oellermann (Winnipeg), internationally recognised for her substantial contributions to structural graph theory, acted as academic consultant for this volume, helping shape its coverage of key topics. The result is a collection of thirteen expository chapters, each written by acknowledged experts. These contributions have been carefully edited to enhance readability and to standardise the chapter structure, terminology and notation throughout. An introductory chapter details the background material in graph theory and network flows and each chapter concludes with an extensive list of references"--

Topics in Structural Graph Theory

R Wilson, M.S
Topics in Structural Graph Theory Book PDF

Author : R Wilson, M.S
Publisher : Unknown
Page : 344 pages
File Size : 50,6 Mb
Release : 2014-05-14
Category : Graph theory
ISBN : 1107249813

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Topics in Structural Graph Theory by R Wilson, M.S Pdf

No other book covers such a wide scope of this aspect of graph theory.

Topics in Graph Theory

Wilfried Imrich,Sandi Klavzar,Douglas F Rall
Topics in Graph Theory Book PDF

Author : Wilfried Imrich,Sandi Klavzar,Douglas F Rall
Publisher : CRC Press
Page : 219 pages
File Size : 42,9 Mb
Release : 2008-10-27
Category : Mathematics
ISBN : 9781439865330

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Topics in Graph Theory by Wilfried Imrich,Sandi Klavzar,Douglas F Rall Pdf

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,

Topics in Graph Theory

Jonathan L Gross,Jay Yellen,Mark Anderson
Topics in Graph Theory Book PDF

Author : Jonathan L Gross,Jay Yellen,Mark Anderson
Publisher : CRC Press
Page : 904 pages
File Size : 54,9 Mb
Release : 2023-05-24
Category : Mathematics
ISBN : 9781000884081

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Topics in Graph Theory by Jonathan L Gross,Jay Yellen,Mark Anderson Pdf

The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences. Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety of topics and directions for research. These topics draw on numerous areas of theoretical and applied mathematics, including combinatorics, probability, linear algebra, group theory, topology, operations research, and computer science. This makes the book appropriate for a first course at the graduate level or as a second course at the undergraduate level. The authors build upon material previously published in Graph Theory and Its Applications, Third Edition, by the same authors. That text covers material for both an undergraduate and graduate course, while this book builds on and expands the graduate-level material. Features Extensive exercises and applications. Flexibility: appropriate for either a first course at the graduate level or an advanced course at the undergraduate level. Opens avenues to a variety of research areas in graph theory. Emphasis on topological and algebraic graph theory.

Graph Structure Theory

Neil Robertson,Paul D. Seymour
Graph Structure Theory Book PDF

Author : Neil Robertson,Paul D. Seymour
Publisher : American Mathematical Soc.
Page : 706 pages
File Size : 44,5 Mb
Release : 1993-06-14
Category : Mathematics
ISBN : 9780821851609

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Graph Structure Theory by Neil Robertson,Paul D. Seymour Pdf

This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Graph Minors, held at the University of Washington in Seattle in the summer of 1991. Among the topics covered are: algorithms on tree-structured graphs, well-quasi-ordering, logic, infinite graphs, disjoint path problems, surface embeddings, knot theory, graph polynomials, matroid theory, and combinatorial optimization.

Topics in Intersection Graph Theory

Terry A. McKee,F. R. McMorris
Topics in Intersection Graph Theory Book PDF

Author : Terry A. McKee,F. R. McMorris
Publisher : SIAM
Page : 213 pages
File Size : 47,8 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 0898719801

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Topics in Intersection Graph Theory by Terry A. McKee,F. R. McMorris Pdf

Finally there is a book that presents real applications of graph theory in a unified format. This book is the only source for an extended, concentrated focus on the theory and techniques common to various types of intersection graphs. It is a concise treatment of the aspects of intersection graphs that interconnect many standard concepts and form the foundation of a surprising array of applications to biology, computing, psychology, matrices, and statistics.

Topics in Graph Automorphisms and Reconstruction

Josef Lauri,Raffaele Scapellato
Topics in Graph Automorphisms and Reconstruction Book PDF

Author : Josef Lauri,Raffaele Scapellato
Publisher : Cambridge University Press
Page : 207 pages
File Size : 47,6 Mb
Release : 2016-06-02
Category : Mathematics
ISBN : 9781316610442

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Topics in Graph Automorphisms and Reconstruction by Josef Lauri,Raffaele Scapellato Pdf

An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.

Introduction to Graph Theory

Koh Khee Meng,Dong Fengming,Tay Eng Guan
Introduction to Graph Theory Book PDF

Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 45,5 Mb
Release : 2007-03-15
Category : Mathematics
ISBN : 9789813101630

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Introduction to Graph Theory by Koh Khee Meng,Dong Fengming,Tay Eng Guan Pdf

Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

Research Topics in Graph Theory and Its Applications

Vadim Zverovich
Research Topics in Graph Theory and Its Applications Book PDF

Author : Vadim Zverovich
Publisher : Cambridge Scholars Publishing
Page : 309 pages
File Size : 44,5 Mb
Release : 2019-06-24
Category : Mathematics
ISBN : 9781527536289

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Research Topics in Graph Theory and Its Applications by Vadim Zverovich Pdf

This book considers a number of research topics in graph theory and its applications, including ideas devoted to alpha-discrepancy, strongly perfect graphs, reconstruction conjectures, graph invariants, hereditary classes of graphs, and embedding graphs on topological surfaces. It also discusses applications of graph theory, such as transport networks and hazard assessments based on unified networks. The book is ideal for developers of grant proposals and researchers interested in exploring new areas of graph theory and its applications.

Topics in Topological Graph Theory

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

Author : Lowell W. Beineke,Robin J. Wilson
Publisher : Cambridge University Press
Page : 128 pages
File Size : 40,8 Mb
Release : 2009-07-09
Category : Mathematics
ISBN : 9781139643689

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

The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references.

Topics in Graph Theory

Frank Harary
Topics in Graph Theory Book PDF

Author : Frank Harary
Publisher : Unknown
Page : 236 pages
File Size : 41,8 Mb
Release : 1979
Category : Mathematics
ISBN : UOM:39015026908593

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Topics in Graph Theory by Frank Harary Pdf

"This series of papers is the result of the Academy's scientist-in reseidence program honoring Professor Harary on May 2-6, 1977.

Topics in the General Theory of Structures

E.R. Caianiello,M.A. Aizerman
Topics in the General Theory of Structures Book PDF

Author : E.R. Caianiello,M.A. Aizerman
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9789400938199

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Topics in the General Theory of Structures by E.R. Caianiello,M.A. Aizerman Pdf

This volume is about "Structure". The search for "structure", always the pursuit of sciences within their specific areas and perspectives, is witnessing these days a dra matic revolution. The coexistence and interaction of so many structures (atoms, hu mans, cosmos and all that there is in between) would be unconceivable according to many experts, if there were not, behind it all, some gen eral organizational principle. s that (at least in some asymptotic way) make possible so many equilibria among species and natural objects, fan tastically tuned to an extremely high degree of precision. The evidence accumulates to an increasingly impressive degree; a concrete example comes from physics, whose constant aim always was and is that of searching for "ultimate laws", out of which everything should follow, from quarks to the cosmos. Our notions and philosophy have un dergone major revolutions, whenever the "unthinkable" has been changed by its wonderful endeavours into "fact". Well, it is just from physics that evidence comes: even if the "ultimate" could be reached, it would not in any way be a terminal point. When "complexity" comes into the game, entirely new notions have to be invented; they all have to do with "structure", though this time in a much wider sense than would have been understood a decade or so ago.

Graph-Theoretic Concepts in Computer Science

Andreas Brandstädt,Klaus Jansen,Rüdiger Reischuk
Graph Theoretic Concepts in Computer Science Book PDF

Author : Andreas Brandstädt,Klaus Jansen,Rüdiger Reischuk
Publisher : Springer
Page : 446 pages
File Size : 46,9 Mb
Release : 2013-11-12
Category : Computers
ISBN : 9783642450433

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Graph-Theoretic Concepts in Computer Science by Andreas Brandstädt,Klaus Jansen,Rüdiger Reischuk Pdf

This book constitutes the thoroughly refereed proceedings of the 39th International Workshop on Graph Theoretic Concepts in Computer Science, WG 2013, held in Lübeck, Germany, in June 2013. The 34 revised full papers presented were carefully reviewed and selected from 61 submissions. The book also includes two abstracts. The papers cover a wide range of topics in graph theory related to computer science, such as structural graph theory with algorithmic or complexity applications; design and analysis of sequential, parallel, randomized, parameterized and distributed graph and network algorithms; computational complexity of graph and network problems; computational geometry; graph grammars, graph rewriting systems and graph modeling; graph drawing and layouts; random graphs and models of the web and scale-free networks; and support of these concepts by suitable implementations and applications.

Topics in Combinatorics and Graph Theory

Rainer Bodendiek,Rudolf Henn
Topics in Combinatorics and Graph Theory Book PDF

Author : Rainer Bodendiek,Rudolf Henn
Publisher : Springer Science & Business Media
Page : 769 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642469084

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Topics in Combinatorics and Graph Theory by Rainer Bodendiek,Rudolf Henn Pdf

Graph Theory is a part of discrete mathematics characterized by the fact of an extremely rapid development during the last 10 years. The number of graph theoretical paper as well as the number of graph theorists increase very strongly. The main purpose of this book is to show the reader the variety of graph theoretical methods and the relation to combinatorics and to give him a survey on a lot of new results, special methods, and interesting informations. This book, which grew out of contributions given by about 130 authors in honour to the 70th birthday of Gerhard Ringel, one of the pioneers in graph theory, is meant to serve as a source of open problems, reference and guide to the extensive literature and as stimulant to further research on graph theory and combinatorics.