Dihedral butterfly digraph and its Cayley graph representation
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概要
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In this paper, we present a new extension of the butterfly digraph, which is known as one of the topologies used for interconnection networks. The butterfly digraph was previously generalized from binary to d-ary. We define a new digraph by adding a signed label to each vertex of the d-ary butterfly digraph. We call this digraph the dihedral butterfly digraph and study its properties. Furthermore, we show that this digraph can be represented as a Cayley graph. It is well known that a butterfly digraph can be represented as a Cayley graph on the wreath product of two cyclic groups [1]. We prove that a dihedral butterfly digraph can be represented as a Cayley graph in two ways.
- 社団法人電子情報通信学会の論文
- 2008-02-01
著者
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Shibata Yukio
Department Of Electronic Engineering Tohoku University
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Tanaka Yuuki
Advanced Technology Research Center Gunma University
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Shibata Yukio
Department Of Computer Science Graduate School Of Engineering Gunma University
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Shibata Yukio
Department Of Computer Science Faculty Of Engineering Gunma University
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ONISHI Haruaki
Department of Computer Science, Graduate School of Engineering, Gunma University
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Onishi Haruaki
Department Of Computer Science Graduate School Of Engineering Gunma University
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SHIBATA Yukio
Department of Computer Science, Graduate School of Engineering, Gunma University
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