On the max-weight edge coloring problem

被引：6

作者：

Lucarelli, Giorgio ^{[1
]}

Milis, Ioannis ^{[1
]}

Paschos, Vangelis T. ^{[2
,3
]}

机构：

[1] Athens Univ Econ & Business, Dept Informat, Athens 10434, Greece

[2] Univ Paris 09, F-75016 Paris, France

[3] CNRS, LAMSADE, UMR 7024, F-75016 Paris, France

来源：

JOURNAL OF COMBINATORIAL OPTIMIZATION | 2010年 / 20卷 / 04期

关键词：

Weighted edge coloring; Polynomial algorithms; Approximation algorithms; COMPLEXITY;

D O I：

10.1007/s10878-009-9223-z

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We study the following generalization of the classical edge coloring problem: Given a weighted graph, find a partition of its edges into matchings (colors), each one of weight equal to the maximum weight of its edges, so that the total weight of the partition is minimized. We explore the frontier between polynomial and NP-hard variants of the problem, with respect to the class of the underlying graph, as well as the approximability of NP-hard variants. In particular, we present polynomial algorithms for bounded degree trees and star of chains, as well as an approximation algorithm for bipartite graphs of maximum degree at most twelve which beats the best known approximation ratios.

引用

页码：429 / 442

页数：14

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