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© 2015

Words and Graphs

Book

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

  1. 1.Dept. of Computer and Information SciencesUniversity of StrathclydeGlasgowUnited Kingdom
  2. 2.Mathematics InstituteUniversity of WarwickCoventryUnited Kingdom

About the authors

Dr. Sergey Kitaev is a Reader in Combinatorics in the Department of Computer and Information Sciences of the University of Strathclyde. He studied at Novosibirsk State University, specializing in mathematical cybernetics, and received his Ph.D. from the University of Gothenburg in 2003. He has held visiting positions at the University of California, San Diego, the Sobolev Institute of Mathematics, and the Royal Swedish Academy of Sciences, and most recently he was an Associate Professor of Mathematics in Reykjavik University. He authored the (Springer) monograph "Patterns in Permutations and Words" in 2011. His research focuses on combinatorics, discrete analysis, graph theory, and formal languages.

Prof. Vadim Lozin is a Professor in the Mathematics Institute at the University of Warwick. He received his Ph.D. in theoretical informatics from the University of Nizhny Novgorod in 1995. He was a visiting professor at Rutgers University, and he has held academic and visiting positions in Russia, Sweden, Switerland, Portugal, Germany, Canada, Saudi Arabia and France. He is the Managing Editor of the (Elsevier) Electronic Notes in Discrete Mathematics, and an Associate Editor of the (Elsevier) journal Discrete Applied Mathematics. His research focuses on graph theory, combinatorics, and discrete mathematics.

Bibliographic information

  • Book Title Words and Graphs
  • Authors Sergey Kitaev
    Vadim Lozin
  • Series Title Monographs in Theoretical Computer Science. An EATCS Series
  • Series Abbreviated Title Monographs Theoret.Computer Science(formerly:EATCS)
  • 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 Computer Science (R0)
  • Hardcover ISBN 978-3-319-25857-7
  • Softcover ISBN 978-3-319-35669-3
  • eBook ISBN 978-3-319-25859-1
  • Series ISSN 1431-2654
  • Series E-ISSN 2193-2069
  • Edition Number 1
  • Number of Pages XVIII, 264
  • Number of Illustrations 0 b/w illustrations, 137 illustrations in colour
  • Topics Theory of Computation
    Mathematics of Computing
    Algebra
  • Buy this book on publisher's site
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Reviews

“UK pioneers Kitaev (Univ. of Strathclyde) and Lozin (Univ. of Warwick) now provide a first monographic treatment. Advanced undergraduates (no previous background is required) will gain access to an almost brand-new research area still rife with open problems. Summing Up: Recommended. Upper-division undergraduates through professionals/practitioners.” (D. V. Feldman, Choice, Vol. 54 (1), September, 2016)