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A 5/3-approximation for finding spanning trees with many leaves in cubic graphs

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Author(s):
Correa, Jose R. ; Fernandes, Cristina G. ; Matamala, Martin ; Wakabayashi, Yoshiko ; Kaklamanis, C ; Skutella, M
Total Authors: 6
Document type: Journal article
Source: Lecture Notes in Computer Science; v. 4927, p. 3-pg., 2008-01-01.
Abstract

For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improve on Lorys and Zwoiniak's result presenting a 5/3-approximation for this problem on cubic graphs. This result is a consequence of new lower and upper bounds for L(G) which are interesting on their own. We also show a lower bound for L(G) that holds for graphs with minimum degree at least 3. (AU)

FAPESP's process: 03/09925-5 - Foundations of computer science: combinatory algorithms and discrete structures
Grantee:Yoshiharu Kohayakawa
Support Opportunities: PRONEX Research - Thematic Grants