Distance-balanced closure of some graphs

Details Distance-balanced closure of some graphs Distance-balanced closure of some graphs

2010-12-17

arxiv.org/abs/1012.3942v1

Mathematics

Combinatorics

8 pages, 4 figures

Scientific paper

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

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