Cayley Graph Representation and Graph Product Representation of Hypercubes
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概要
- 論文の詳細を見る
Hypercube Qn is a well-known graph structure having three different kinds of equivalent definitions that are: 1. binary n bit sequences with the adjacency condition, 2. Q1=K2, $Q_n=Q_{n-1}\\Box K_2$, where $\\Box$ means the Cartesian product, 3. the Cayley graph on $\\mathbb{Z}_2^n$ with the generator set {10···0,010···0,···,0···01}. We give a necessary and sufficient condition for a set of binary sequences to be a generator set for the hypercube. Then, we give relations between some generator sets and relational products. These results show the wide variety of representability of hypercubes which would be used for many applications.
- （社）電子情報通信学会の論文
- 2011-03-01
著者
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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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MOROTA Miya
Department of Computer Science, Graduate School of Engineering, Gunma University
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HATAYAMA Ryoichi
Oki Electric Industry Co., Ltd.
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Morota Miya
Department Of Computer Science Graduate School Of Engineering Gunma University
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Hatayama Ryoichi
Oki Electric Industry Co. Ltd.
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