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A Comprehensive Introduction to the Theory of Word-Representable Graphs by Sergey Kitaev is a book available to read on EtoBox.

What is A Comprehensive Introduction to the Theory of Word-Representable Graphs about?

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-represent-able graphs including the most recent developments in the area.

Author
Sergey Kitaev
Publisher
Springer International Publishing : Imprint: Springer
Published
2017
Language
EN
ISBN
9783319628097
Subjects
Computer Science, Mathematics, Science

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