Графы, представимые в виде слов: обзор результатов

Research output: Contribution to journalArticle

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 is a comprehensive survey on the theory of word-representable graphs and it includes the most recent developments in the area.
Translated title of the contributionWord-representative graphs : a survey
Original languageRussian
Pages (from-to)1-35
Number of pages35
JournalDiskretnyi Analiz i Issledovanie Operatsii
StateAccepted/In press - 30 Nov 2017

    Research areas

  • word-representable graphs, circle graphs, comparability graphs

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