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arXiv · 1009.0343

Edge Growth in Graph Cubes

Matt DeVos·Stéphan Thomassé
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Abstract

We show that for every connected graph $G$ of diameter $\ge 3$, the graph $G^3$ has average degree $\ge 7/4 δ(G)$. We also provide an example showing that this bound is best possible. This resolves a question of Hegarty \cite{PH}.

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Matt DeVos, Stéphan Thomassé. 2010-09-02. Edge Growth in Graph Cubes. https://arxiv.org/abs/1009.0343

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