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Synopsis
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.
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Review
'The book is undoubtedly a valuable addition to the literature of infinite graph theory'London Mathematical Society
"About this title" may belong to another edition of this title.
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Graph Decompositions: A Study in Infinite Graph Theory
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Graph Decompositions: A Study in Infinite Graph Theory (Oxford Science Publications)
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Graph Decompositions. A study in Infinite Graph Theory Oxford Science Publications
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Graph Decompositions : A Study in Infinite Graph Theory
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Graph Decompositions: A Study in Infinite Graph Theory (Oxford Science Publications)
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Graph Decompositions A Study in Infinite Graph Theory Oxford Science Publications
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Graph Decompositions (Hardcover)
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Oxford University Press, Oxford, 1990
ISBN 10: 0198532105
ISBN 13: 9780198532101
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Hardcover. Condition: new. Hardcover. 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. Thecurrently 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 theuniqueness 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 mathematicianinterested 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. A complete account of the theory of simplicial decompositions of graphs, from its origins in the 1930s right up to the frontiers of present-day research. The text gives an authentic picture of research in progress. It includes discussions of examples, proof strategies, or the formation of new concepts, and numerous exercises and open problems. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780198532101
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Graph Decompositions
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Graph Decompositions: A Study in Infinite Graph Theory
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Graph Decompositions: A Study in Infinite Graph Theory (eng)
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