MAD trees and distance-hereditary graphs

被引：7

作者：

Datilhaus, E

Dankelmann, P

Goddard, W ^{[1
]}

Swart, HC

机构：

[1] Univ Natal, Dept Comp Sci, ZA-4041 Durban, South Africa

[2] Tech Univ Vienna, Inst Comp Graph, A-1060 Vienna, Austria

[3] Univ Natal, Sch Math & Stat Sci, ZA-4001 Durban, South Africa

来源：

DISCRETE APPLIED MATHEMATICS | 2003年 / 131卷 / 01期

关键词：

distance; spanning tree; minimum average distance; distance-hereditary graphs;

D O I：

10.1016/S0166-218X(02)00422-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a graph G with weight function w on the vertices, the total distance of G is the sum over all unordered pairs of vertices x and y of w(x)w(y) times the distance between x and y. A MAD tree of G is a spanning tree with minimum total distance. We develop a linear-time algorithm to find a MAD tree of a distance-hereditary graph; that is, those graphs where distances are preserved in every connected induced subgraph. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：151 / 167

页数：17

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