容错k元n立方体的边泛圈性Edge-pancyclicity of the k-ary n-cubes with Faulty Nodes and Edges
马雪,原军,张宪敏
摘要(Abstract):
k元n立方体Qnk是互连网络设计中最重要的拓扑之一。本文研究了既有故障点又有故障边的情况下,Qnk的边泛圈性,证明了对给定的整数n≥2和奇数k≥3,F是k元n方体Qnk中故障点和故障边的集合。若F中元素个数至多为2n-3,则QQnk-F是(k+1)-边泛圈的。
关键词(KeyWords): 互连网络;k元n方体;边泛圈性
基金项目(Foundation): 国家数学天元基金(11126076);; 山西省(青年)自然科学基金(2012021001-2)
作者(Author): 马雪,原军,张宪敏
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