Complexity of the game connected domination problem

Fuente: arXiv
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Autor principal: Chenoweth, Vesna Iršič
Formato: Preprint
Publicado: 2024
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author Chenoweth, Vesna Iršič
author_facet Chenoweth, Vesna Iršič
contents The connected domination game is a variation of the domination game where the played vertices must form a connected subgraph at all stages of the game. In this paper we prove that deciding whether the game connected domination number is smaller than a given integer is PSPACE-complete using log-space reductions for both Dominator- and Staller-start connected domination game.
format Preprint
id arxiv_https___arxiv_org_abs_2404_08776
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Complexity of the game connected domination problem
Chenoweth, Vesna Iršič
Combinatorics
The connected domination game is a variation of the domination game where the played vertices must form a connected subgraph at all stages of the game. In this paper we prove that deciding whether the game connected domination number is smaller than a given integer is PSPACE-complete using log-space reductions for both Dominator- and Staller-start connected domination game.
title Complexity of the game connected domination problem
topic Combinatorics
url https://arxiv.org/abs/2404.08776