Locally connected spanning trees in cographs, complements of bipartite graphs and doubly chordal graphs

被引:2
|
作者
Panda, B. S. [1 ]
Pradhan, D. [1 ]
机构
[1] Indian Inst Technol Delhi, Comp Sci & Applicat Grp, Dept Math, New Delhi 110016, India
关键词
Algorithms; Graph algorithms; Locally connected spanning tree; NP-complete; NETWORKS; 2-TREES;
D O I
10.1016/j.ipl.2010.09.008
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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 is an element of 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. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:1067 / 1073
页数:7
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