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

Fuente: arXiv
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Auteurs principaux: Bonamy, Marthe, Dvořák, Zdeněk, Michel, Lukas, Mikšaník, David
Format: Preprint
Publié: 2026
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author Bonamy, Marthe
Dvořák, Zdeněk
Michel, Lukas
Mikšaník, David
author_facet Bonamy, Marthe
Dvořák, Zdeněk
Michel, Lukas
Mikšaník, David
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_15082
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Characterization of sparse monotone graph classes with bounded domination-to-2-independence ratio
Bonamy, Marthe
Dvořák, Zdeněk
Michel, Lukas
Mikšaník, David
Combinatorics
05C69
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.
title Characterization of sparse monotone graph classes with bounded domination-to-2-independence ratio
topic Combinatorics
05C69
url https://arxiv.org/abs/2601.15082