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Optimal orientations of products of paths and cycles
被引:17
作者:
Koh, KM
Tay, EG
机构:
[1] Department of Mathematics, National University of Singapore, Lower Kent Ridge Road
关键词:
path;
cycle;
bipartite graph;
diameter;
strong orientation;
D O I:
10.1016/S0166-218X(97)00017-6
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
For a graph G, let D(G) be the family of strong orientations of G, d(G) = min{d(D)\D is an element of D (G)) and rho(G) = d(G)-d(G), where d(G) and d(D) are the diameters of G and D respectively. in this paper we show that rho(G)=0 if G is a cartesian product of(1) paths, and (2) paths and cycles, which satisfy some mild conditions.
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页码:163 / 174
页数:12
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