Surveys in Combinatorics 2009

doi:10.1017/CBO9781107325975

This volume contains survey articles based on the invited lectures given at the Twenty-second British Combinatorial Conference, held in July 2009 at the University of St Andrews. This biennial conference is a well-established international event, with speakers from all over the world. By its nature this volume provides an up-to-date overview of current research activity in several areas of combinatorics, including graph theory, design theory and packing problems. Each article is clearly written and assumes little prior knowledge on the part of the reader. The authors are some of the world's foremost researchers in their fields, and here they summarise existing results, and give a unique preview of the most recent developments. The book provides a valuable survey of the present state of knowledge in combinatorics. It will be useful to research workers and advanced graduate students, primarily in mathematics but also in computer science, statistics and engineering.

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Surveys in Combinatorics 2009

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

1 - Graph decompositions and symmetry
pp 1-18

2 - Combinatorics of optimal designs
pp 19-74

3 - Regularity and the spectra of graphs
pp 75-90

4 - Trades and t-designs
pp 91-112

5 - Extremal graph packing problems: Ore-type versus Dirac-type
pp 113-136

6 - Embedding large subgraphs into dense graphs
pp 137-168

7 - Counting planar graphs and related families of graphs
pp 169-210

8 - Metrics for sparse graphs
pp 211-288

9 - Recent results on chromatic and flow roots of graphs and matroids
pp 289-327

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