Word-representability of triangulations of rectangular polyomino with a single domino tile

Glen, Marc and Kitaev, Sergey (2015) Word-representability of triangulations of rectangular polyomino with a single domino tile. Journal of Combinatorial Mathematics and Combinatorial Computing. (In Press)

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    Abstract

    A graph G = (V,E) is word-representable if there exists a word w over the alphabet V such that letters x and y alternate in w if and only if (x,y) is an edge in E . A recent elegant result of Akrobotu et al. [1] states that a triangulation of any convex polyomino is word-representable if and only if it is 3-colourable. In this paper, we generalize a particular case of this result by showing that the result of Akrobotu et al. [1] is true even if we allow a domino tile, instead of having just 1x1 tiles on a rectangular polyomino.

    Creators(s): Glen, Marc and Kitaev, Sergey ORCID logoORCID: https://orcid.org/0000-0003-3324-1647;
    Item type:Article
    ID code:54275
    Keywords:word-representability, polyomino, triangulation, domino, Electronic information resources, Library and Information Sciences
    Subjects:Bibliography. Library Science. Information Resources > Information resources > Electronic information resources
    Department:Faculty of Science > Computer and Information Sciences
    Depositing user: Pure Administrator
    Date deposited:14 Sep 2015 08:54
    Last modified:18 Sep 2020 07:12
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/54275
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