Graph Decompositions: A Study in Infinite Graph Theory (Oxford Science Publications)

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9780198532101: Graph Decompositions: A Study in Infinite Graph Theory (Oxford Science Publications)

This is the first book to offer a complete account of the theory of simplicial decompositions of graphs, possibly the single most important tool in infinite graph theory. The text is centered on a number of guiding problems and concepts such as the existence and uniqueness problem of simplicial decompositions into primes, and the concept of excluded minors as a means of identifying a desired structure. Following theoretical developments since the 1930s, the author includes extensive information on the current state of research, as well as many examples, proof strategies, exercises, and ongoing problems. The book will be a useful resource for graph theorists and mathematicians, and its lively account of important research will interest advanced students as well.

"synopsis" may belong to another edition of this title.

About the Author:

Reinhard Diestel is at St John's College, Cambridge.

Review:


"A textbook for an advanced course in graph theory, presenting the little known theory, simplicial decompositions of graphs, developed in the 1930s, and showing how its high degree of coherence relative to its size makes it attractive to students just embarking on their own research." --SciTech Book News


"The book offers a self-contained presentation of an interesting subject with deep results and some challenging open problems." --Choice


"Presents to a broad mathematical readership the theory of simplicial decompositions of graphs, encouraging stimulation of future inquiry and research." --The New York Public Library


"About this title" may belong to another edition of this title.

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Book Description Oxford University Press, United Kingdom, 1990. Hardback. Book Condition: New. New.. Language: English . Brand New Book ***** Print on Demand *****. 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 of research 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. Bookseller Inventory # APC9780198532101

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Book Description Oxford University Press, United Kingdom, 1990. Hardback. Book Condition: New. New.. Language: English . Brand New Book ***** Print on Demand *****.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 of research 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. Bookseller Inventory # APC9780198532101

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Book Description OUP Oxford. Hardcover. Book Condition: New. 248 pages. Dimensions: 9.1in. x 5.9in. x 0.9in.This is the first book to offer a complete account of the theory of simplicial decompositions of graphs, possibly the single most important tool in infinite graph theory. The text is centered on a number of guiding problems and concepts such as the existence and uniqueness problem of simplicial decompositions into primes, and the concept of excluded minors as a means of identifying a desired structure. Following theoretical developments since the 1930s, the author includes extensive information on the current state of research, as well as many examples, proof strategies, exercises, and ongoing problems. The book will be a useful resource for graph theorists and mathematicians, and its lively account of important research will interest advanced students as well. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Bookseller Inventory # 9780198532101

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Book Description Clarendon Press. Hardcover. Book Condition: New. 0198532105 Special order direct from the distributor. Bookseller Inventory # ING9780198532101

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