Surveys in Combinatorics 2013 (London Mathematical Society Lecture Note Series)

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Surveys in Combinatorics 2013 (London Mathematical Society Lecture Note Series)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 378 p.
  • 言語 ENG
  • 商品コード 9781107651951
  • DDC分類 519

Full Description

This volume contains nine survey articles based on the invited lectures given at the 24th British Combinatorial Conference, held at Royal Holloway, University of London in July 2013. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory, matroid theory and automatic counting, as well as connections to coding theory and Bent functions. 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 cutting-edge developments. The book provides a valuable survey of the present state of knowledge in combinatorics, and will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.

Table of Contents

Preface                                            vii
1 Graph removal lemmas 1 (50)
David Conlon
Jacob Fox
2 The geometry of covering codes: small 51 (40)
complete caps and saturating sets in Galois
Massimo Giulietti
3 Bent functions and their connections to 91 (36)
Tor Helleseth
Alexander Kholosha
4 The complexity of change 127(34)
Jan van den Heuvel
5 How symmetric can maps on surfaces be? 161(78)
Jozef Siran
6 Some open problems on permutation patterns 239(26)
Einar Steingrimsson
7 The world of hereditary graph classes 265(62)
viewed through Truemper configurations
Kristina Vuskovic
8 Structure in minor-closed classes of 327(36)
Jim Geelen
Bert Gerards
Geoff Whittle
9 Automatic counting of tilings of skinny 363
plane regions
Shalosh B. Ekhad
Doron Zeilberger