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arXiv · 1703.05861

An Improved Bound for Upper Domination of Cartesian Products of Graphs

Yu-Yen Chien
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Abstract

In this paper, we prove a problem proposed by Brešar: for any graphs $G$ and $H$, $Γ(G\square H)\geΓ(G)Γ(H)+ \min\{|V(G)|-Γ(G),|V(H)|-Γ(H)\}$, where $Γ(G)$ denotes the upper domination number of $G$.

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Yu-Yen Chien. 2017-03-17. An Improved Bound for Upper Domination of Cartesian Products of Graphs. https://arxiv.org/abs/1703.05861

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