Locally connected spanning trees in cographs, complements of bipartite graphs and doubly chordal graphs |
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Authors: | BS Panda |
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Affiliation: | Computer Science and Application Group, Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110 016, India |
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Abstract: | A spanning tree T of a graph G=(V,E) is called a locally connected spanning tree if the set of all neighbors of v in T induces a connected subgraph of G for all v∈V. The problem of recognizing whether a graph admits a locally connected spanning tree is known to be NP-complete even when the input graphs are restricted to chordal graphs. In this paper, we propose linear time algorithms for finding locally connected spanning trees in cographs, complements of bipartite graphs and doubly chordal graphs, respectively. |
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Keywords: | Algorithms Graph algorithms Locally connected spanning tree NP-complete |
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