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Surveys in Combinatorics 2015

$78.99 (C)

Part of London Mathematical Society Lecture Note Series

Artur Czumaj, Agelos Georgakopolous, Daniel Král', Vadim Lozin, Oleg Pikhurko, Manuel Bodirsky, David Conlon, Jacob Fox, Benny Sudakov, Paul Balister, Stefanie Gerke, Gil Kalai, Tomasz Łuczak, Omran Ahmadi, Gary McGuire, Sergey Norin, Sophie Huczynska, Nik Ruškuc, Liming Ma, Chaoping Xing
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  • Date Published: July 2015
  • availability: Available
  • format: Paperback
  • isbn: 9781107462502

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About the Authors
  • This volume contains nine survey articles based on the invited lectures given at the 25th British Combinatorial Conference, held at the University of Warwick in July 2015. 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, Ramsey theory, combinatorial geometry and curves over finite fields. 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.

    • High-quality survey articles summarising the current state of the field
    • Accessible to non-experts
    • Authored by some of the world's leading researchers in their respective fields
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    Product details

    • Date Published: July 2015
    • format: Paperback
    • isbn: 9781107462502
    • length: 334 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.49kg
    • contains: 20 b/w illus.
    • availability: Available
  • Table of Contents

    Preface Artur Czumaj, Agelos Georgakopolous, Daniel Král', Vadim Lozin and Oleg Pikhurko
    1. Ramsey classes: examples and constructions Manuel Bodirsky
    2. Recent developments in graph Ramsey theory David Conlon, Jacob Fox and Benny Sudakov
    3. Controllability and matchings in random bipartite graphs Paul Balister and Stefanie Gerke
    4. Some old and new problems in combinatorial geometry I: around Borsuk's problem Gil Kalai
    5. Randomly generated groups Tomasz Łuczak
    6. Curves over finite fields and linear recurring sequences Omran Ahmadi and Gary McGuire
    7. New tools and results in graph minor structure theory Sergey Norin
    8. Well quasi-order in combinatorics: embeddings and homomorphisms Sophie Huczynska and Nik Ruškuc
    9. Constructions of block codes from algebraic curves over finite fields Liming Ma and Chaoping Xing.

  • Editors

    Artur Czumaj, University of Warwick
    Artur Czumaj is a Professor in the Department of Computer Science and Director of the Centre for Discrete Mathematics and its Applications (DIMAP) at the University of Warwick.

    Agelos Georgakopoulos, University of Warwick
    Agelos Georgakopoulos is an Assistant Professor in the Mathematics Institute at the University of Warwick.

    Daniel Král, University of Warwick
    Daniel Král' is a Professor in the Mathematics Institute and the Department of Computer Science at the University of Warwick.

    Vadim Lozin, University of Warwick
    Vadim Lozin is Professor of Mathematics at the University of Warwick.

    Oleg Pikhurko, University of Warwick
    Oleg Pikhurko is a Professor in the Mathematics Institute at the University of Warwick.

    Contributors

    Artur Czumaj, Agelos Georgakopolous, Daniel Král', Vadim Lozin, Oleg Pikhurko, Manuel Bodirsky, David Conlon, Jacob Fox, Benny Sudakov, Paul Balister, Stefanie Gerke, Gil Kalai, Tomasz Łuczak, Omran Ahmadi, Gary McGuire, Sergey Norin, Sophie Huczynska, Nik Ruškuc, Liming Ma, Chaoping Xing

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