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A comprehensive introduction to the theory of word-representable graphs

Kitaev, Sergey (2017) A comprehensive introduction to the theory of word-representable graphs. In: Developments in Language Theory. Lecture Notes in Computer Science . Springer-Verlag, Berlin. (In Press)

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Abstract

Letters x and y alternate in a word w if after deleting in w all letters but the copies of x and y we either obtain a word xyxy⋯ (of even or odd length) or a word yxyx⋯  (of even or odd length). A graph G=(V,E) is word-representable if and only if there exists a word w over the alphabet V such that letters x and y alternate in w if and only if xy ∈ E.   Word-representable graphs generalize several important classes of graphs such as circle graphs, 3-colorable graphs and comparability graphs. This paper offers a comprehensive introduction to the theory of word-representable graphs including the most recent developments in the area.

Item type: Book Section
ID code: 60730
Notes: The final publication will be available at link.springer.com
Keywords: word-representable graphs, pattern avoiding words, semi-trasitive orientations, non-word representable graphs, operations, edge subdivision, edge contraction, cartesian products, planar graphs, Mathematics, Mathematics(all)
Subjects: Science > Mathematics
Department: Faculty of Science > Computer and Information Sciences
Depositing user: Pure Administrator
Date deposited: 19 May 2017 15:49
Last modified: 23 Sep 2017 00:31
Related URLs:
URI: https://strathprints.strath.ac.uk/id/eprint/60730
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