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Graph decompositions a study in infinite graph theory by Reinhard Diestel

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Published by Clarendon Press, Oxford University Press in Oxford, New York .
Written in English


  • Graph theory.,
  • Decomposition (Mathematics)

Book details:

Edition Notes

Includes bibliographical references (p. [209]-216) and indexes.

StatementReinhard Diestel.
SeriesOxford science publications
LC ClassificationsQA166 .D5 1990
The Physical Object
Paginationxviii, 221 p. :
Number of Pages221
ID Numbers
Open LibraryOL2227089M
ISBN 100198532105
LC Control Number89077304

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This book is a research monograph offering a comprehensive treatment of the theory of simplicial decompositions of graphs. In modern terms, these are tree-decompositions in which the overlap between adjacent parts is always a complete subgraph (or simplex). For a finite graph, such decompositions can be obtained by recursively decomposing the graph along complete separators; for infinite graphs, this process does not necessarily terminate and may hence fail to decompose . Makers of the Decomposition Book - Over styles in stock - Made with % Recycled Paper - Printed with Soy Ink - Made in the USA *Most Orders Ship in 2 Business Days* Free Shipping on . Decompositions of graphs. [Juraj Bosák] Print book: English: 1st English edView diagrams and hypergraphs --Decompositions and colourings of a graph --Generalizations of graph decompositions --Relations between factors of a decomposition of a graph and between decompositions of graphs . Research output: Book/Report › Ph.D. thesis › Research. Downloads (Pure) Abstract. The topic of this PhD thesis is graph decompositions. While there exist various kinds of decompositions, this thesis focuses on three problems concerning edgedecompositions. Given a family of graphs .

Graph Decompositions —§ 46 Graph Decomposition Definition: A matching M in a graph G is a subset of edges of G that share no vertices. Definition: A perfect matchingM in a graph G is a . Formally, a graph is specied by a set of vertices (also called nodes) V and by edges E between select pairs of vertices. In the map example, V = f1;2;3;;13gand Eincludes,File Size: KB. Graph and Hypergraph Decompositions for Exact Algorithms Janne H. Korhonen To be presented, with the permission of the Faculty of Science of the University of Helsinki, for public criticism in the . Graph Decompositions and Algorithmic Applications organized by A. Brandst¨adt (University of Rostock, Rostock, Germany) graphs has complexity O(m), where m is the number of edges of the graph being investigated; the same as that for recognizing triangle–free graphs by Alon, Yuster and Zwick). Graph decompositions.

Descriptive Complexity, Canonisation, and Definable Graph Structure Theory. This note covers the following topics: Background from Graph Theory and Logic, Descriptive Complexity, Treelike Decompositions, Definable Decompositions, Graphs of Bounded Tree Width, Ordered Treelike Decompositions, 3-Connected Components, Graphs Embeddable in a Surface, Definable Decompositions of Graphs . Provides a complete account of the theory of "simplical decompositions" of graphs, from its origins in the s right up to present-day research. The text focuses on a few guiding concepts such as the . ABSTRACT The concept of H-decompositions of graphs was first introduced by Erdös, Goodman and Pósa in , who were motivated by the problem of representing graphs by set intersections. Given graphs G and H, an H-decomposition of G is a partition of the edge set of G such that each part is either a single edge or forms a graph . On its pages the book touches upon many research topics in modern graph theory.” (Ferdinand Gliviak, Zentralblatt MATH, Vol. , ) From the Back Cover This standard textbook of modern graph Cited by: