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arXiv · 1012.3942

Distance-balanced closure of some graphs

N. Ghareghani·B. Manouchehrian·M. Mohammad-Noori
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Abstract

In this paper we prove that any distance-balanced graph $G$ with $Δ(G)\geq |V(G)|-3$ is regular. Also we define notion of distance-balanced closure of a graph and we find distance-balanced closures of trees $T$ with $Δ(T)\geq |V(T)|-3$.

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N. Ghareghani, B. Manouchehrian, M. Mohammad-Noori. 2010-12-17. Distance-balanced closure of some graphs. https://arxiv.org/abs/1012.3942

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