Graph Theory and Combinatorics 1988 ( Volume 43 )

Publication series :Volume 43

Author: Bollobás   B.  

Publisher: Elsevier Science‎

Publication year: 1989

E-ISBN: 9780080867830

P-ISBN(Paperback): 9780444873293

P-ISBN(Hardback):  9780444873293

Subject: O157.5 Graph

Language: ENG

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Description

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.

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 6

Contents

pp.:  6 – 10

Preface

pp.:  10 – 12

Chapter 4. Graphs with a small number of distinct induced subgraphs

pp.:  32 – 40

Chapter 5. Extensions of networks with given diameter

pp.:  40 – 50

Chapter 6. Confluence of some presentations associated with graphs

pp.:  50 – 56

Chapter 7. Long cycles in graphs with no subgraphs of minimal degree 3

pp.:  56 – 64

Chapter 8. First cycles in random directed graph processes

pp.:  64 – 78

Chapter 9. Trigraphs

pp.:  78 – 90

Chapter 10. On clustering problems with connected optima in Euclidean spaces

pp.:  90 – 98

Chapter 11. Some sequences of integers

pp.:  98 – 112

Chapter 12. 1-Factorizing regular graphs of high degree – An improved bound

pp.:  112 – 122

Chapter 13. Graphs with small bandwidth and cutwidth

pp.:  122 – 130

Chapter 14. Simplicial decompositions of graphs: A survey of applications

pp.:  130 – 154

Chapter 15. On the number of distinct induced subgraphs of a graph

pp.:  154 – 164

Chapter 16. On the number of partitions of n without a given subsum (I)

pp.:  164 – 176

Chapter 17. The first cycles in an evolving graph

pp.:  176 – 226

Chapter 18. Covering the complete graph by partitions

pp.:  226 – 236

Chapter 19. A density version of the Hales–Jewett theorem for k = 3

pp.:  236 – 252

Chapter 20. On the path-complete bipartite Ramsey number

pp.:  252 – 256

Chapter 21. Towards a solution of the Dinitz problem?

pp.:  256 – 262

Chapter 22. A note on Latin squares with restricted support

pp.:  262 – 264

Chapter 23. Pseudo-random hypergraphs

pp.:  264 – 288

Chapter 24. Bouquets of geometric lattices: Some algebraic and topological aspects

pp.:  288 – 324

Chapter 25. A short proof of a theorem of Vámos on matroid representations

pp.:  324 – 328

Chapter 26. An on-line graph coloring algorithm with sublinear performance ratio

pp.:  328 – 336

Chapter 27. The partite construction and Ramsey set systems

pp.:  336 – 344

Chapter 28. Scaffold permutations

pp.:  344 – 352

Chapter 29. Bounds on the measurable chromatic number of Rn

pp.:  352 – 382

Chapter 30. A simple linear expected time algorithm for finding a hamilton path

pp.:  382 – 390

Chapter 31. Dense expanders and pseudo-random bipartite graphs

pp.:  390 – 396

Chapter 32. Forbidden graphs for degree and neighbourhood conditions

pp.:  396 – 414

List of Contributors

pp.:  414 – 418

Author Index

pp.:  418 – 420

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