Graph Theory And Decomposition

Author : Jomon Kottarathil,Sudev Naduvath,Joseph Varghese Kureethara
Publisher : CRC Press
Page : 201 pages
File Size : 47,7 Mb
Release : 2024-04-10
Category : Mathematics
ISBN : 9781040018736

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Graph Theory and Decomposition by Jomon Kottarathil,Sudev Naduvath,Joseph Varghese Kureethara Pdf

The book Graph Theory and Decomposition covers major areas of the decomposition of graphs. It is a three-part reference book with nine chapters that is aimed at enthusiasts as well as research scholars. It comprehends historical evolution and basic terminologies, and it deliberates on decompositions into cyclic graphs, such as cycle, digraph, and K4-e decompositions. In addition to determining the pendant number of graphs, it has a discourse on decomposing a graph into acyclic graphs like general tree, path, and star decompositions. It summarises another recently developed decomposition technique, which decomposes the given graph into multiple types of subgraphs. Major conjectures on graph decompositions are elaborately discussed. It alludes to a comprehensive bibliography that includes over 500 monographs and journal articles. It includes more than 500 theorems, around 100 definitions, 56 conjectures, 40 open problems, and an algorithm. The index section facilitates easy access to definitions, major conjectures, and named theorems. Thus, the book Graph Theory and Decomposition will be a great asset, we hope, in the field of decompositions of graphs and will serve as a reference book for all who are passionate about graph theory.

Author : Andrzej Ehrenfeucht,T. Harju,Grzegorz Rozenberg
Publisher : World Scientific
Page : 316 pages
File Size : 51,9 Mb
Release : 1999
Category : Mathematics
ISBN : 9810240422

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The Theory of 2-structures by Andrzej Ehrenfeucht,T. Harju,Grzegorz Rozenberg Pdf

The theory of 2-structures provides a convenient framework for decomposition and transformation of mathematical systems where one or several different binary relationships hold between the objects of the system. In particular, it forms a useful framework for decomposition and transformation of graphs. The decomposition methods presented in this book correspond closely to the top-down design methods studied in theoretical computer science. The transformation methods considered here have a natural interpretation in the dynamic evolution of certain kinds of communication networks. From the mathematical point of view, the clan decomposition method presented here, also known as modular decomposition or substitution decomposition, is closely related to the decomposition by quotients in algebra. The transformation method presented here is based on labelled 2-structures over groups, the theory of which generalizes the well-studied theory of switching classes of graphs. This book is both a text and a monograph. As a monograph, the results concerning the decomposition and transformation of 2-structures are presented in a unified way. In addition, detailed notes on references are provided at the end of each chapter. These notes allow the reader to trace the origin of many notions and results, and to browse through the literature in order to extend the material presented in the book. To facilitate its use as a textbook, there are numerous examples and exercises which provide an opportunity for the reader to check his or her understanding of the discussed material. Furthermore, the text begins with preliminaries on partial orders, semigroups, groups and graphs to the extent needed for the book.

Author : Juraj Bosák
Publisher : Taylor & Francis US
Page : 278 pages
File Size : 43,7 Mb
Release : 1990
Category : Mathematics
ISBN : 8022400831

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Decompositions of Graphs by Juraj Bosák Pdf

Author : Reinhard Diestel
Publisher : Oxford Science Publications
Page : 258 pages
File Size : 47,7 Mb
Release : 1990
Category : Language Arts & Disciplines
ISBN : UCAL:B4497463

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Graph Decompositions by Reinhard Diestel Pdf

Graph Decompositions is the first book on a topic that belongs mainly to infinite graph theory. It offers a complete account of the theory of simplicial decompositions of graphs, from its origins in the 1930s right up to present-day research.In addition to being one of the most important tools in infinite graph theory, simplicial decompositions may be seen as a model for any kind of structural graph decomposition. The currently topical tree-decompositions, for example, have their origin in simplicial decompositions.The text is centred around a few guiding problems and concepts, such as the existence and the uniqueness problem of simplicial decompositions into primes, or the concept of excluded minors as a means of identifying a desired structure.It attempts to give as authentic a picture as possible ofresearch in progress. To this end, it includes discussions of examples, proof strategies on the formation of new concepts, as well as numerous exercises and open problems.Graph Decompositions should prove attractive to any graph theorist or other mathematician interested in a new area of research, as well as to the advanced student looking for a lively and inspiring account of how such research evolves.

Author : R. Diestel
Publisher : Elsevier
Page : 128 pages
File Size : 53,5 Mb
Release : 2016-06-06
Category : Mathematics
ISBN : 9781483294797

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Directions in Infinite Graph Theory and Combinatorics by R. Diestel Pdf

This book has arisen from a colloquium held at St. John's College, Cambridge, in July 1989, which brought together most of today's leading experts in the field of infinite graph theory and combinatorics. This was the first such meeting ever held, and its aim was to assess the state of the art in the discipline, to consider its links with other parts of mathematics, and to discuss possible directions for future development. This volume reflects the Cambridge meeting in both level and scope. It contains research papers as well as expository surveys of particular areas. Together they offer a comprehensive portrait of infinite graph theory and combinatorics, which should be particularly attractive to anyone new to the discipline.

Author : Haslinda Ibrahim,Sharmila Karim,Maizon Mohd Darus
Publisher : UUM Press
Page : 72 pages
File Size : 50,6 Mb
Release : 2021-03-01
Category : Education
ISBN : 9789672486329

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Complete Graph Decomposition Through Artistic Impressions (UUM Press) by Haslinda Ibrahim,Sharmila Karim,Maizon Mohd Darus Pdf

Complete Graph Decomposition through Artistic Impressions is a book that presents state-of-the-art of graph theory in resolving problems by graphical visualization. The book is unique in terms of the followings: • Each chapter begins with visual illustrations of ideas to represent (in pictures, figures etc.) and describe the problems that occur in the construction of algorithms. • The abstract concepts in graph theory are presented in a more relaxed and easily digestible form. • This book inspires readers to visualize hardcore mathematical concepts with a more meaningful and tangible story.

Author : Anonim
Publisher : Elsevier
Page : 294 pages
File Size : 52,7 Mb
Release : 2011-10-10
Category : Mathematics
ISBN : 0080867669

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Advances in Graph Theory by Anonim Pdf

Advances in Graph Theory

Author : Neil Robertson,Paul D. Seymour
Publisher : American Mathematical Soc.
Page : 706 pages
File Size : 53,9 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.

Author : Martin Grohe
Publisher : Cambridge University Press
Page : 554 pages
File Size : 45,7 Mb
Release : 2017-08-17
Category : Computers
ISBN : 9781107014527

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Descriptive Complexity, Canonisation, and Definable Graph Structure Theory by Martin Grohe Pdf

This groundbreaking, yet accessible book explores the interaction between graph theory and computational complexity using methods from finite model theory.

Author : Matthias Dehmer,Frank Emmert-Streib
Publisher : CRC Press
Page : 528 pages
File Size : 45,6 Mb
Release : 2014-10-27
Category : Computers
ISBN : 9781466584525

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Quantitative Graph Theory by Matthias Dehmer,Frank Emmert-Streib Pdf

The first book devoted exclusively to quantitative graph theory, Quantitative Graph Theory: Mathematical Foundations and Applications presents and demonstrates existing and novel methods for analyzing graphs quantitatively. Incorporating interdisciplinary knowledge from graph theory, information theory, measurement theory, and statistical technique

Author : Luca Aceto,Ivan Damgaard,Leslie Ann Goldberg,Magnus M. Halldorsson,Anna Ingolfsdottir,Igor Walukiewicz
Publisher : Springer Science & Business Media
Page : 919 pages
File Size : 51,7 Mb
Release : 2008-06-24
Category : Computers
ISBN : 9783540705741

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Automata, Languages and Programming by Luca Aceto,Ivan Damgaard,Leslie Ann Goldberg,Magnus M. Halldorsson,Anna Ingolfsdottir,Igor Walukiewicz Pdf

ICALP 2008, the 35th edition of the International Colloquium on Automata, Languages and Programming, was held in Reykjavik, Iceland, July 7–11, 2008. ICALP is a series of annual conferences of the European Association for Th- reticalComputer Science(EATCS) which ?rsttook placein 1972.This year,the ICALP program consisted of the established Track A (focusing on algorithms, automata,complexityandgames)andTrackB(focusing onlogic,semanticsand theory of programming), and of the recently introduced Track C (focusing on security and cryptography foundations). In response to the call for papers, the Program Committees received 477 submissions, the highest ever: 269 for Track A, 122 for TrackB and 86 for Track C. Out of these, 126 papers were selected for inclusion in the scienti?c program: 70 papers for Track A, 32 for Track B and 24 for Track C. The selection was made by the Program Committees based on originality, quality, and relevance to theoretical computer science. The quality of the manuscripts was very high indeed, and many deserving papers could not be selected. ICALP 2008 consisted of ?ve invited lectures and the contributed papers.

Author : Andrzej Ehrenfeucht
Publisher : Unknown
Page : 308 pages
File Size : 40,5 Mb
Release : 1999
Category : Electronic
ISBN : 9812815120

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The Theory Of 2-structures by Andrzej Ehrenfeucht Pdf

Author : Jonathan L. Gross,Thomas W. Tucker
Publisher : Courier Corporation
Page : 386 pages
File Size : 45,9 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 9780486417417

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Topological Graph Theory by Jonathan L. Gross,Thomas W. Tucker Pdf

Iintroductory treatment emphasizes graph imbedding but also covers connections between topological graph theory and other areas of mathematics. Authors explore the role of voltage graphs in the derivation of genus formulas, explain the Ringel-Youngs theorem, and examine the genus of a group, including imbeddings of Cayley graphs. Many figures. 1987 edition.

Author : Gena Hahn,Gert Sabidussi,R.E. Woodrow
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400905177

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Cycles and Rays by Gena Hahn,Gert Sabidussi,R.E. Woodrow Pdf

What is the "archetypal" image that comes to mind when one thinks of an infinite graph? What with a finite graph - when it is thought of as opposed to an infinite one? What structural elements are typical for either - by their presence or absence - yet provide a common ground for both? In planning the workshop on "Cycles and Rays" it had been intended from the outset to bring infinite graphs to the fore as much as possible. There never had been a graph theoretical meeting in which infinite graphs were more than "also rans", let alone one in which they were a central theme. In part, this is a matter of fashion, inasmuch as they are perceived as not readily lending themselves to applications, in part it is a matter of psychology stemming from the insecurity that many graph theorists feel in the face of set theory - on which infinite graph theory relies to a considerable extent. The result is that by and large, infinite graph theorists know what is happening in finite graphs but not conversely. Lack of knowledge about infinite graph theory can also be found in authoritative l sources. For example, a recent edition (1987) of a major mathematical encyclopaedia proposes to ". . . restrict [itself] to finite graphs, since only they give a typical theory". If anything, the reverse is true, and needless to say, the graph theoretical world knows better. One may wonder, however, by how much.

Author : Rainer Bodendiek
Publisher : Unknown
Page : 712 pages
File Size : 44,6 Mb
Release : 1990
Category : Graph theory
ISBN : UOM:39015025302004

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Contemporary Methods in Graph Theory by Rainer Bodendiek Pdf