On-line vertex-covering

被引:18
作者
Demange, M
Paschos, VT
机构
[1] Univ Paris 09, CNRS, UMR 7024, LAMSADE, F-75775 Paris, France
[2] Univ Paris 01, CERMSEM, F-75231 Paris, France
[3] ESSEC, Dept DIS, F-95021 Cergy Pontoise, France
关键词
on-line algorithm; competitive ratio; approximation; graph; vertex-covering;
D O I
10.1016/j.tcs.2004.08.015
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We study the minimum vertex-covering problem under two on-line models corresponding to two different ways vertices are revealed. The former one implies that the input-graph is revealed vertex-by-vertex. The second model implies that the input-graph is revealed per clusters, i.e. per induced subgraphs of the final graph. Under the cluster-model, we then relax the constraint that the choice of the part of the final solution dealing with each cluster has to be irrevocable, by allowing backtracking. We assume that one can change decisions upon a vertex membership of the final solution, this change implying, however, some cost depending on the number of the vertices changed. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:83 / 108
页数:26
相关论文
共 13 条
[11]   AN ONLINE GRAPH-COLORING ALGORITHM WITH SUBLINEAR PERFORMANCE RATIO [J].
LOVASZ, L ;
SAKS, M ;
TROTTER, WT .
DISCRETE MATHEMATICS, 1989, 75 (1-3) :319-325
[12]  
PAPADIMITRIOU CH, 1981, COMBINATORIAL OPTIMI
[13]   AMORTIZED EFFICIENCY OF LIST UPDATE AND PAGING RULES [J].
SLEATOR, DD ;
TARJAN, RE .
COMMUNICATIONS OF THE ACM, 1985, 28 (02) :202-208