Words and Graphs
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Beschreibung
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.
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.
Self-contained survey, useful for learning and reference Authors among key researchers in this field Suggests problems and directions for further research
Autor*in
Sergey Kitaev
Themen in »Words and Graphs«
Combinatorics Complexity Enumeration Graph theory Graphs Hereditary class of graphs Structure Word-representable graphs Words
Stimmen zu »Words and Graphs«
“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)
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