An embedding technique in the study of word-representability of graphs

Huang, Sumin and Kitaev, Sergey and Pyatkin, Artem (2024) An embedding technique in the study of word-representability of graphs. Discrete Applied Mathematics, 346. pp. 170-182. ISSN 0166-218X (https://doi.org/10.1016/j.dam.2023.12.017)

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Abstract

Word-representable graphs, which are the same as semi-transitively orientable graphs, generalize several fundamental classes of graphs. In this paper we propose a novel approach to study word-representability of graphs using a technique of homomorphisms. As a proof of concept, we apply our method to show word-representability of the simplified graph of overlapping permutations that we introduce in this paper. For another application, we obtain results on word-representability of certain subgraphs of simplified de Bruijn graphs that were introduced recently by Petyuk and studied in the context of word-representability.

  • Item type:Article
    ID code:87745
    Dates:
    Date
    Event
    31 March 2024
    Published
    23 December 2023
    Published Online
    14 December 2023
    Accepted
    28 August 2023
    Submitted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:09 Jan 2024 13:01
    Last modified:14 Apr 2024 01:13
    URI:https://strathprints.strath.ac.uk/id/eprint/87745
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