English

Computation of twin-width of graphs

Combinatorics 2022-08-01 v1

Abstract

Twin-width is a recently introduced graph parameter. In this article, we compute twin-width of various finite graphs. In particular, we prove that the twin-widths of finite graphs with 4 and 5 vertices are less than equal to 1 and 2, respectively. We show that the constructions of dual graph and line graph do not preserve twin-width. Also, we give upper bounds for the twin-width of King's graph and Rook's graph.

Keywords

Cite

@article{arxiv.2207.14333,
  title  = {Computation of twin-width of graphs},
  author = {Kajal Das},
  journal= {arXiv preprint arXiv:2207.14333},
  year   = {2022}
}

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