|
|||||
|
|
Isomorphic factorization, the Kronecker product and the line digraph |
|
| Authors: | Yuuki Tanaka Hiroyuki Kawai |
| Affiliation: | a Advanced Technology Research Center, Gunma University, 1-5-1 Tenjin-cho, Kiryu, Gunma 376-8515, Japan b Department of Computer Engineering, Hakodate National College of Technology, 14-1 Tokura-cho, Hakodate, Hokkaido 042-8501, Japan c Department of Computer Science, Gunma University, 1-5-1 Tenjin-cho, Kiryu, Gunma 376-8515, Japan |
| Abstract: | In this paper, we investigate isomorphic factorizations of the Kronecker product graphs. Using these relations, it is shown that (1) the Kronecker product of the d-out-regular digraph and the complete symmetric digraph is factorized into the line digraph, (2) the Kronecker product of the Kautz digraph and the de Bruijn digraph is factorized into the Kautz digraph, (3) the Kronecker product of binary generalized de Bruijn digraphs is factorized into the binary generalized de Bruijn digraph. |
| Keywords: | Interconnection network Isomorphic factorization Kronecker product Line digraph |
| 本文献已被 ScienceDirect 等数据库收录！ | |