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Table of contents

  1. Front Matter
    Pages i-xviii
  2. Sergey Kitaev, Vadim Lozin
    Pages 1-6
  3. Sergey Kitaev, Vadim Lozin
    Pages 7-30
  4. Sergey Kitaev, Vadim Lozin
    Pages 31-56
  5. Sergey Kitaev, Vadim Lozin
    Pages 81-130
  6. Sergey Kitaev, Vadim Lozin
    Pages 131-160
  7. Sergey Kitaev, Vadim Lozin
    Pages 161-184
  8. Sergey Kitaev, Vadim Lozin
    Pages 185-211
  9. Sergey Kitaev, Vadim Lozin
    Pages 213-229
  10. Back Matter
    Pages 231-264

About this book

Introduction

This is the first comprehensive introduction to the theory of word-representable graphs, a generalization of several classical classes of graphs, and a new topic in discrete mathematics.

After extensive introductory chapters that explain the context and consolidate the state of the art in this field, including a chapter on hereditary classes of graphs, the authors suggest a variety of problems and directions for further research, and they discuss interrelations of words and graphs in the literature by means other than word-representability.

The book is self-contained, and is suitable for both reference and learning, with many chapters containing exercises and solutions to seleced problems. It will be valuable for researchers and graduate and advanced undergraduate students in discrete mathematics and theoretical computer science, in particular those engaged with graph theory and combinatorics, and also for specialists in algebra. 

Keywords

Combinatorics Complexity Enumeration Graph theory Graphs Hereditary class of graphs Structure Word-representable graphs Words

Authors and affiliations

  • Sergey Kitaev
    • 1
  • Vadim Lozin
    • 2
  1. 1.Dept. of Computer and Information SciencesUniversity of StrathclydeGlasgowUnited Kingdom
  2. 2.Mathematics InstituteUniversity of WarwickCoventryUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-25859-1
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Computer Science
  • Print ISBN 978-3-319-25857-7
  • Online ISBN 978-3-319-25859-1
  • Series Print ISSN 1431-2654
  • Series Online ISSN 2193-2069
  • Buy this book on publisher's site
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