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IEICE TRANSACTIONS on Information

A Deterministic Approximation Algorithm for Maximum 2-Path Packing

Ruka TANAHASHI, Zhi-Zhong CHEN

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Summary :

This paper deals with the maximum-weight 2-path packing problem (M2PP), which is the problem of computing a set of vertex-disjoint paths of length 2 in a given edge-weighted complete graph so that the total weight of edges in the paths is maximized. Previously, Hassin and Rubinstein gave a randomized cubic-time approximation algorithm for M2PP which achieves an expected ratio of - ε ≈ 0.5223 - ε for any constant ε > 0. We refine their algorithm and derandomize it to obtain a deterministic cubic-time approximation algorithm for the problem which achieves a better ratio (namely, 0.5265 - ε for any constant ε>0).

Publication
IEICE TRANSACTIONS on Information Vol.E93-D No.2 pp.241-249
Publication Date
2010/02/01
Publicized
Online ISSN
1745-1361
DOI
10.1587/transinf.E93.D.241
Type of Manuscript
Special Section PAPER (Special Section on Foundations of Computer Science)
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