Weighted connected domination and Steiner trees in distance-hereditary graphs

被引：17

作者：

Yeh, HG ^{[1
]}

Chang, GJ ^{[1
]}

机构：

[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 30050, Taiwan

来源：

DISCRETE APPLIED MATHEMATICS | 1998年 / 87卷 / 1-3期

关键词：

distance-hereditary graph; connected domination; Steiner tree; algorithm; cograph;

D O I：

10.1016/S0166-218X(98)00060-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Distance-hereditary graphs are graphs in which every two vertices have the same distance in every connected induced subgraph containing them. This paper studies distance-hereditary graphs from an algorithmic viewpoint. In particular, we present linear-time algorithms for finding a minimum weighted connected dominating set and a minimum vertex-weighted Steiner tree in a distance-hereditary graph. Both problems are NP-complete in general graphs. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：245 / 253

页数：9

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