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Locally connected spanning trees on graphs

Ching-Chi Lin·Gerard J. Chang·Gen-Huey Chen
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Abstract

A locally connected spanning tree of a graph $G$ is a spanning tree $T$ of $G$ such that the set of all neighbors of $v$ in $T$ induces a connected subgraph of $G$ for every $v\in V(G)$. The purpose of this paper is to give linear-time algorithms for finding locally connected spanning trees on strongly chordal graphs and proper circular-arc graphs, respectively.

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Ching-Chi Lin, Gerard J. Chang, Gen-Huey Chen. 2004-09-08. Locally connected spanning trees on graphs. https://arxiv.org/abs/cs/0409013

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