当前位置: X-MOL 学术Theor. Comput. Sci. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Hybrid fault-tolerant prescribed hyper-hamiltonian laceability of hypercubes
Theoretical Computer Science ( IF 1.1 ) Pub Date : 2021-07-29 , DOI: 10.1016/j.tcs.2021.07.030
Yuxing Yang 1, 2 , Jing Li 3
Affiliation  

The n-dimensional hypercube Qn is one of the most attractive interconnection networks for multiprocessor systems and it is a bipartite graph. Let Fv be a set of the end-nodes of k independent edges in Qn and Fe be a set of f edges in QnFv. Given a linear forest L of QnFvFe, in this paper, we prove that (i) QnFvFe admits a hamiltonian cycle passing through L if |E(L)|+k+fn2; and (ii) for any two nodes x and y of the opposite partite sets in QnFvFe such that none of the paths in L has x or y as internal node or both of them as end-nodes, QnFvFe admits a hamiltonian path between x and y passing through L if |E(L)|+k+fn3; and (iii) for any two distinct nodes u and v of the partite set not containing w in QnFvFew such that none of the paths in L has u or v as internal node or both of them as end-nodes, QnFvFew admits a hamiltonian path between u and v passing through L if |E(L)|+k+fn3, where w is an arbitrary node in QnFvFe.



中文翻译:

超立方体的混合容错规定的超哈密顿可解性

ñ维超立方体n是多处理器系统最有吸引力的互连网络之一,它是一个二部图。让Fvk 个独立边的端节点的集合nF电子是一组fn-Fv. 给出的线性森林大号n-Fv-F电子, 在本文中,我们证明 ( i )n-Fv-F电子承认一个通过L的汉密尔顿循环,如果|()|++Fn-2; 和(一世一世)对于相反部分的任意两个节点xyn-Fv-F电子使得没有路径在大号具有Xÿ作为内部节点或它们两者为端节点的,n-Fv-F电子承认xy之间通过L的哈密顿路径,如果|()|++Fn-3; 和(一世一世一世)对于任何两个不同的节点ùv不含有三方组的瓦特n-Fv-F电子-使得没有在路径中的大号具有üv为内部节点或它们两者为端节点的,n-Fv-F电子-承认uv之间通过L的哈密顿路径,如果|()|++Fn-3,其中w是任意节点n-Fv-F电子.

更新日期:2021-09-22
down
wechat
bug