Hamiltonian path embeddings in conditional faulty k-ary n-cubes

被引：12
|
作者：
Wang, Shiying [1 ,2 ]
Zhang, Shurong [2 ]
Yang, Yuxing [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
INFORMATION SCIENCES | 2014年 / 268卷
基金：
国家教育部博士点专项基金资助; 中国国家自然科学基金;
关键词：
Interconnection network; Path embedding; Hamiltonian path; Conditional edge fault; k-Ary n-cube; COVERS; PANCYCLICITY; NETWORKS; GRAPHS; CYCLES;
D O I：
10.1016/j.ins.2014.01.044
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The class of k-ary n-cubes represents the most commonly used interconnection topology for distributed-memory parallel systems. A k-ary n-cube is bipartite if and only if k is even. In this paper, we consider the faulty k-ary n-cube with even k 4 and n 2 such that each vertex of the k-ary n-cube is incident with at least two healthy edges. Based on this requirement, we prove that the k-ary n-cube contains a hamiltonian path joining every pair of vertices which are in different parts, even if it has up to 4n - 5 edge faults and this result is optimal. (c) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：463 / 488
页数：26
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