Графы, представимые в виде слов : обзор результатов

Kitaev, Sergey and Pyatkin, Artem (2018) Графы, представимые в виде слов : обзор результатов. Diskretnyi Analiz i Issledovanie Operatsii, 25 (2). pp. 19-53. ISSN 1990-4797 (https://doi.org/10.17377/daio.2018.25.588)

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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 is a comprehensive survey on the theory of word-representable graphs and it includes the most recent developments in the area.

ORCID iDs

Kitaev, Sergey ORCID logoORCID: https://orcid.org/0000-0003-3324-1647 and Pyatkin, Artem;
  • Item type:Article
    ID code:62535
    Dates:
    Date
    Event
    30 April 2018
    Published
    30 November 2017
    Accepted
    Keywords:word-representable graphs, circle graphs, comparability graphs, Mathematics, Computational Mathematics
    Subjects:Science > Mathematics
    Department:Faculty of Science > Computer and Information Sciences
    Depositing user: Pure Administrator
    Date deposited:06 Dec 2017 11:35
    Last modified:25 Nov 2023 02:36
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/62535
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