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Polynomial Approximation Schemes for the Max-Min Allocation Problem under a Grade of Service Provision Read chapter Read first chapter

2009 | OriginalPaper | Chapter

A 2log2(n)-Approximation Algorithm for Directed Tour Cover

Author : Viet Hung Nguyen

Published in: Combinatorial Optimization and Applications

Publisher: Springer Berlin Heidelberg

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Given a directed graph

G

with non-negative cost on the arcs, a directed tour cover

T

of

G

is a cycle (not necessary 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 [1,6], in our knowledge, the DTCP remains widely open. In this paper, we give a 2log

2

(

n

)-approximation algorithm for the DTCP.

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previous chapter On Construction of Almost-Ramanujan Graphs
next chapter Approximation Algorithms for Max 3-Section Using Complex Semidefinite Programming Relaxation
Metadata
Title
A 2log2(n)-Approximation Algorithm for Directed Tour Cover
Author
Viet Hung Nguyen
Copyright Year
2009
Publisher
Springer Berlin Heidelberg
Book
Combinatorial Optimization and Applications

Print ISBN: 978-3-642-02025-4

Electronic ISBN: 978-3-642-02026-1

Copyright Year: 2009

DOI
https://doi.org/10.1007/978-3-642-02026-1_19

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