Max-leaves spanning tree is APX-hard for cubic graphs

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Max-leaves spanning tree is APX-hard for cubic graphs

We consider the problem of finding a spanning tree with maximum number of leaves (MaxLeaf). 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). MaxLeaf is known to be APX-hard in general, and NP-hard for cubic graphs. We show that the problem is also APX-hard for cubic graphs. The APX-...

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ژورنال

عنوان ژورنال: Journal of Discrete Algorithms

سال: 2012

ISSN: 1570-8667

DOI: 10.1016/j.jda.2011.06.005