Isomorphic factorization of de Bruijn digraphs

被引：4

作者：

Shibata, Y ^{[1
]}

Hasunuma, T ^{[1
]}

Fukuda, S ^{[1
]}

机构：

[1] Gunma Univ, Dept Comp Sci, Kiryu, Gumma 3768515, Japan

来源：

DISCRETE MATHEMATICS | 2000年 / 218卷 / 1-3期

关键词：

isomorphic factorization; Kronecker product; line digraphs; de Bruijn digraphs; extended de bruijn digraphs; interconnection networks; fault-tolerance;

D O I：

10.1016/S0012-365X(99)00304-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present several relations among the Kronecker product, the line digraph operation, and isomorphic factorization. Using these relations, it is shown that a de Bruijn digraph B(d(k),D) has an isomorphic factorization into B(d,kD). Then, we generalize this result to extended de Bruijn digraphs (the Kronecker product of de Bruijn digraphs). (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：199 / 208

页数：10

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