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arXiv · 2205.06464

Disjoint Total Dominating Sets in Near-Triangulations

P. Francis·Abraham M. Illickan·Lijo M. Jose·Deepak Rajendraprasad
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Abstract

We show that every simple planar near-triangulation with minimum degree at least three contains two disjoint total dominating sets. The class includes all simple planar triangulations other than the triangle. This affirms a conjecture of Goddard and Henning [Thoroughly dispersed colorings, J. Graph Theory, 88 (2018) 174-191].

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P. Francis, Abraham M. Illickan, Lijo M. Jose, Deepak Rajendraprasad. 2022-05-13. Disjoint Total Dominating Sets in Near-Triangulations. https://arxiv.org/abs/2205.06464

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