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arXiv · 2601.15082

Characterization of sparse monotone graph classes with bounded domination-to-2-independence ratio

Marthe Bonamy·Zdeněk Dvořák·Lukas Michel·David Mikšaník
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Abstract

We give an exact characterization of monotone graph classes C with bounded average degree that satisfy the following property: The domination number of every graph from C is bounded by a linear function of its 2-independence number.

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Marthe Bonamy, Zdeněk Dvořák, Lukas Michel, David Mikšaník. 2026-01-21. Characterization of sparse monotone graph classes with bounded domination-to-2-independence ratio. https://arxiv.org/abs/2601.15082

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