Cartesian products of graphs as subgraphs of de Bruijn graphs of dimension at least three

被引：4
|
作者：
Andreae, T [1 ]
Hintz, M [1 ]
Nolle, M [1 ]
Schreiber, G [1 ]
Schuster, GW [1 ]
Seng, H [1 ]
机构：
[1] TECH UNIV HAMBURG,D-21071 HAMBURG,GERMANY
来源：
DISCRETE APPLIED MATHEMATICS | 1997年 / 79卷 / 1-3期
关键词：
de Bruijn graphs; Cartesian products of graphs; interconnection networks; subgraph embeddings; hypercubes; tori; parallel and distributed computing;
D O I：
10.1016/S0166-218X(97)00029-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a Cartesian product G = G(1) x ... x G(M) (m greater than or equal to 2) of nontrivial connected graphs G(i) and the base d, dimension D de Bruijn graph B(d, D), it is investigated under which conditions G is (or is not) a subgraph of B(d,D). We present a complete solution of this problem for the case D greater than or equal to 4. For D = 3, we give partial results including a complete solution for the case that G is a torus, i.e., G is the Cartesian product of cycles.
引用
收藏
页码：3 / 34
页数：32
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