Words And Graphs by Sergey KitaevWords And Graphs by Sergey Kitaev

Words And Graphs

bySergey Kitaev, Vadim Lozin

Hardcover | November 28, 2015

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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.

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 ...
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Title:Words And GraphsFormat:HardcoverDimensions:264 pages, 23.5 × 15.5 × 0.25 inPublished:November 28, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319258575

ISBN - 13:9783319258577

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Table of Contents

Introduction.- Hereditary Classes of Graphs.- What Word-Representable Graphs Are and Where They Come From.- Characterization of Word-Representable Graphs in Terms of Semi-transitive Orientations.- Various Results on Word-Representable Graphs.- Open Problems and Further Research Directions on Word-Representable Graphs.- Interrelations Between Words and Graphs in the Literature.- More on Interrelations Between Words and Graphs in the Literature.- App. A: Graph Theory Background.- App. B: Beyond Graph Theory Background.

Editorial 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)