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9780444894144

Directions in Infinite Graph Theory and Combinatorics

by
  • ISBN13:

    9780444894144

  • ISBN10:

    0444894144

  • Edition: Reprint
  • Format: Hardcover
  • Copyright: 1992-04-01
  • Publisher: Elsevier Science Ltd

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Summary

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.

Table of Contents

Prefacep. 1
Introductionp. 3
Infinite matching theoryp. 5
Gallai-Milgram properties for infinite graphsp. 23
The age of a relational structurep. 49
Decomposing infinite graphsp. 69
Bounded graphsp. 91
A survey on graphs with polynomial growthp. 101
Some results on ends and automorphisms of graphsp. 119
Analyzing Nash-Williams' partition theorem by means of ordinal typesp. 135
Matchings from a set below to a set abovep. 169
A partition relation for triples using a model of Todorcevicp. 183
Some relations between analytic and geometric properties of infinite graphsp. 193
Reconstruction of infinite graphsp. 221
f-Optimal factors of infinite graphsp. 231
Universal elements and the complexity of certain classes of infinite graphsp. 255
Asymmetrising sets in treesp. 271
Asymmetrization of infinite treesp. 291
Excluding infinite minorsp. 303
An end-faithful spanning tree counterexamplep. 321
End-faithful forests and spanning trees in infinite graphsp. 331
Fast growing functions based on Ramsey theoremsp. 341
Edge-transitive stripsp. 359
Topological groups and infinite graphsp. 373
Author index to volume 95p. 385
Table of Contents provided by Blackwell. All Rights Reserved.

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