Graph Decompositions

Author : Reinhard Diestel
Publisher : Oxford Science Publications
Page : 258 pages
File Size : 41,9 Mb
Release : 1990
Category : Language Arts & Disciplines
ISBN : UCAL:B4497463

Get Book

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 : 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

Get Book

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 : Jomon Kottarathil,Sudev Naduvath,Joseph Varghese Kureethara
Publisher : CRC Press
Page : 201 pages
File Size : 42,6 Mb
Release : 2024-04-10
Category : Mathematics
ISBN : 9781040018736

Get Book

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 : Juraj Bosák
Publisher : Taylor & Francis US
Page : 278 pages
File Size : 46,5 Mb
Release : 1990
Category : Mathematics
ISBN : 8022400831

Get Book

Decompositions of Graphs by Juraj Bosák Pdf

Author : Jan van Leeuwen
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 55,5 Mb
Release : 1994-05-20
Category : Computers
ISBN : 3540578994

Get Book

Graph-Theoretic Concepts in Computer Science by Jan van Leeuwen Pdf

This volume contains the proceedings of the 19th International Workshop on Graph-Theoretic Concepts in Computer Science, WG '93, held near Utrecht, The Netherlands, in 1993. The papers are grouped into parts on: hard problems on classes of graphs, structural graph theory, dynamic graph algorithms, structure-oriented graph algorithms, graph coloring, AT-free and chordal graphs, circuits and nets, graphs and interconnection networks, routing and shortest paths, and graph embedding and layout. The 35 revised papers were chosen from 92 submissions after a careful refereeing process.

Author : Fan Chung,Ron Graham,Frederick Hoffman,Ronald C. Mullin,Leslie Hogben,Douglas B. West
Publisher : CRC Press
Page : 443 pages
File Size : 42,6 Mb
Release : 2019-11-15
Category : Mathematics
ISBN : 9781000751833

Get Book

50 years of Combinatorics, Graph Theory, and Computing by Fan Chung,Ron Graham,Frederick Hoffman,Ronald C. Mullin,Leslie Hogben,Douglas B. West Pdf

50 Years of Combinatorics, Graph Theory, and Computing advances research in discrete mathematics by providing current research surveys, each written by experts in their subjects. The book also celebrates outstanding mathematics from 50 years at the Southeastern International Conference on Combinatorics, Graph Theory & Computing (SEICCGTC). The conference is noted for the dissemination and stimulation of research, while fostering collaborations among mathematical scientists at all stages of their careers. The authors of the chapters highlight open questions. The sections of the book include: Combinatorics; Graph Theory; Combinatorial Matrix Theory; Designs, Geometry, Packing and Covering. Readers will discover the breadth and depth of the presentations at the SEICCGTC, as well as current research in combinatorics, graph theory and computer science. Features: Commemorates 50 years of the Southeastern International Conference on Combinatorics, Graph Theory & Computing with research surveys Surveys highlight open questions to inspire further research Chapters are written by experts in their fields Extensive bibliographies are provided at the end of each chapter

Author : Michael Kaufmann,Dorothea Wagner
Publisher : Springer
Page : 466 pages
File Size : 52,9 Mb
Release : 2007-05-18
Category : Computers
ISBN : 9783540709046

Get Book

Graph Drawing by Michael Kaufmann,Dorothea Wagner Pdf

This book constitutes the thoroughly refereed post-proceedings of the 14th International Symposium on Graph Drawing, GD 2006, held in Karlsruhe, Germany. The 33 revised full papers and 5 revised short papers presented together with 2 invited talks, 1 system demo, 2 poster papers address all current aspects in graph drawing, ranging from foundational and methodological issues to applications for various classes of graphs in a variety of fields.

Author : Juraj Hromkovič,Manfred Nagl,Bernhard Westfechtel
Publisher : Springer
Page : 413 pages
File Size : 52,6 Mb
Release : 2005-01-25
Category : Computers
ISBN : 9783540305590

Get Book

Graph-Theoretic Concepts in Computer Science by Juraj Hromkovič,Manfred Nagl,Bernhard Westfechtel Pdf

During its 30-year existence, the International Workshop on Graph-Theoretic Concepts in Computer Science has become a distinguished and high-quality computer science event. The workshop aims at uniting theory and practice by demonstrating how graph-theoretic concepts can successfully be applied to v- ious areas of computer science and by exposing new theories emerging from applications. In this way, WG provides a common ground for the exchange of information among people dealing with several graph problems and working in various disciplines. Thereby, the workshop contributes to forming an interdis- plinary research community. The original idea of the Workshop on Graph-Theoretic Concepts in C- puter Science was ingenuity in all theoretical aspects and applications of graph concepts, wherever applied. Within the last ten years, the development has strengthened in particular the topic of structural graph properties in relation to computational complexity. This workshop has become pivotal for the c- munity interested in these areas.An aimspeci?c to the 30thWG was to support the central role of WG in both of the prementioned areas on the one hand and on the other hand to promote its originally broader scope. The 30th WG was held at the Physikzentrum Bad Honnef, which serves as the main meeting point of the German Physical Society. It o?ers a secluded setting for research conferences, seminars, and workshops, and has proved to be especiallystimulatingforfruitful discussions.Talksweregiveninthenewlecture hall with a modern double rear projection, interactive electronic board, and full video conferencing equipment.

Author : R. Diestel
Publisher : Elsevier
Page : 128 pages
File Size : 46,9 Mb
Release : 2016-06-06
Category : Mathematics
ISBN : 9781483294797

Get Book

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 : N.B. Singh
Publisher : N.B. Singh
Page : 232 pages
File Size : 45,8 Mb
Release : 2024-07-04
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Combinatorial Problems in Graph Theory by N.B. Singh Pdf

"Combinatorial Problems in Graph Theory" offers a comprehensive introduction to the fundamentals of graph theory for beginners. Exploring the fascinating world of graphs, this book covers essential concepts, from basic definitions to advanced applications across diverse fields such as computer science, optimization, and social networks. With clear explanations, practical examples, and engaging problems, it equips readers with the foundational knowledge needed to understand and solve combinatorial problems using graph theory. Ideal for students and enthusiasts alike, this book serves as an accessible entry point into this essential branch of mathematics.

Author : Lowell W. Beineke,Robin J. Wilson
Publisher : Cambridge University Press
Page : 128 pages
File Size : 46,8 Mb
Release : 2009-07-09
Category : Mathematics
ISBN : 9781139643689

Get Book

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.

Author : B. Bollobás
Publisher : Elsevier
Page : 409 pages
File Size : 43,9 Mb
Release : 1989-07-01
Category : Mathematics
ISBN : 0080867839

Get Book

Graph Theory and Combinatorics 1988 by B. Bollobás Pdf

Combinatorics has not been an established branch of mathematics for very long: the last quarter of a century has seen an explosive growth in the subject. This growth has been largely due to the doyen of combinatorialists, Paul Erdős, whose penetrating insight and insatiable curiosity has provided a huge stimulus for workers in the field. There is hardly any branch of combinatorics that has not been greatly enriched by his ideas. This volume is dedicated to Paul Erdős on the occasion of his seventy-fifth birthday.

Author : Andreas Brandstädt
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 54,6 Mb
Release : 2007-12-12
Category : Computers
ISBN : 9783540748380

Get Book

Graph-Theoretic Concepts in Computer Science by Andreas Brandstädt Pdf

This book constitutes the thoroughly refereed post-proceedings of the 33rd International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2007, held in Dornburg, Germany, in June 2007. The 30 revised full papers presented together with one invited paper were carefully selected from 99 submissions. The papers feature original results on all aspects of graph-theoretic concepts in Computer Science, including structural graph theory, graph-based modeling, and graph-drawing.

Author : Jørgen Bang-Jensen,Gregory Gutin
Publisher : Springer
Page : 636 pages
File Size : 46,8 Mb
Release : 2018-06-18
Category : Mathematics
ISBN : 9783319718408

Get Book

Classes of Directed Graphs by Jørgen Bang-Jensen,Gregory Gutin Pdf

This edited volume offers a detailed account of the theory of directed graphs from the perspective of important classes of digraphs, with each chapter written by experts on the topic. Outlining fundamental discoveries and new results obtained over recent years, this book provides a comprehensive overview of the latest research in the field. It covers core new results on each of the classes discussed, including chapters on tournaments, planar digraphs, acyclic digraphs, Euler digraphs, graph products, directed width parameters, and algorithms. Detailed indices ease navigation while more than 120 open problems and conjectures ensure that readers are immersed in all aspects of the field. Classes of Directed Graphs provides a valuable reference for graduate students and researchers in computer science, mathematics and operations research. As digraphs are an important modelling tool in other areas of research, this book will also be a useful resource to researchers working in bioinformatics, chemoinformatics, sociology, physics, medicine, etc.

Author : Peter Widmayer,Gabriele Neyer,Stephan Eidenbenz
Publisher : Springer
Page : 428 pages
File Size : 43,8 Mb
Release : 2003-06-26
Category : Computers
ISBN : 9783540467847

Get Book

Graph-Theoretic Concepts in Computer Science by Peter Widmayer,Gabriele Neyer,Stephan Eidenbenz Pdf

This book constitutes the refereed proceedings of the 25th International Workshop on Graph-Theorie Concepts in Computer Science WG'99, held at the Centre Stefano Frascini on Monte Verita, Ascona, Switzerland in June 1999. The 33 revised full papers presented together with four invited contributions were carefully reviewed and selected from 64 papers submitted. The papers provide a wealth of new results for various graph classes, graph computations, graph algorithms and graph-theoretical applications in a variety of fields.