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arXiv · 2312.10377

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

Sumin Huang·Sergey Kitaev·Artem Pyatkin
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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.

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Sumin Huang, Sergey Kitaev, Artem Pyatkin. 2023-12-16. An embedding technique in the study of word-representabiliy of graphs. https://arxiv.org/abs/2312.10377

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