Abstract | ||
---|---|---|
We consider the problem of finding a spanning tree with maximum number of leaves. A 2-approximation algorithm is known for this problem, and a 3/2-approximation algorithm when restricted to graphs where every vertex has degree 3 (cubic graphs). The problem is known to be APX-hard in general, and NP-hard for cubic graphs. We show that it is also APX-hard for cubic graphs. The APX-hardness of the related problem Minimum Connected Dominating Set for cubic graphs follows. |
Year | DOI | Venue |
---|---|---|
2009 | 10.1016/j.jda.2011.06.005 | J. Discrete Algorithms |
Keywords | DocType | Volume |
minimum connected dominating set,maximum leaf,cubic graph,apx-hard,2-approximation algorithm,related problem,approximation algorithm,maximum number,spanning tree,computational complexity,apx hard,data structure,discrete mathematics | Journal | 12, |
ISSN | Citations | PageRank |
Journal of Discrete Algorithms | 5 | 0.44 |
References | Authors | |
21 | 1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Paul Bonsma | 1 | 287 | 20.46 |