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Locally connected spanning trees on graphs

Ching-Chi Lin, Gerard J. Chang, Gen-Huey Chen

cs.DSarXiv:cs/0409013

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∈ 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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