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Article Dans Une Revue Algorithms Année : 2011

Approximating the minimum tour cover of a digraph

Viet Hung Nguyen

Résumé

Given a directed graph G with non-negative cost on the arcs, a directed tour cover T of G is a cycle (not necessarily simple) in G such that either head or tail (or both of them) of every arc in G is touched by T. The minimum directed tour cover problem (DToCP), which is to find a directed tour cover of minimum cost, is NP-hard. It is thus interesting to design approximation algorithms with performance guarantee to solve this problem. Although its undirected counterpart (ToCP) has been studied in recent years, in our knowledge, the DToCP remains widely open. In this paper, we give a 2 log2(n)-approximation algorithm for the DToCP.

Dates et versions

hal-01170291 , version 1 (01-07-2015)

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Citer

Viet Hung Nguyen. Approximating the minimum tour cover of a digraph. Algorithms, 2011, 4 (2), pp.75-86. ⟨10.3390/a4020075⟩. ⟨hal-01170291⟩
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