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Star网络S6的Hamilton圈分解

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Star网络Sn作为超立方体(一种著名互连网络)的替代品而被许多作者研究.与超立方体相比较,该网络有较小的直径和顶点度.在本文中,我们证明了关于Star网络Sn的一个猜想当n=6时是正确的,即S6是两个边不交的Hamilton圈及一个完美对集的并.
Decomposition of Star Network S6 into Hamilton Cycles
The Star network 5n as a substitute for hypercube (a well-known interconnection network) has been studied by a number of researchers. As compared with the hypercube, the Star network has small diameter and degree. In this paper, we prove that the conjecture on the Star network Sn for n = 6 is true. Namely, S6 is the union of two edge-disjoint Hamiltonian cycles and a perfect matching.

Cayley graphHamiltonian cycleStar networkperfect matching

路建波、师海忠、牛攀峰

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西北师范大学数学与信息科学学院,兰州730070

Cayley图 Hamilton圈 Star网络 完美对集

国家自然科学基金

10771091

2011

工程数学学报
西安交通大学

工程数学学报

CSTPCDCSCD北大核心
影响因子:0.302
ISSN:1005-3085
年,卷(期):2011.28(4)
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