Article ID Journal Published Year Pages File Type
428956 Information Processing Letters 2006 4 Pages PDF
Abstract

The Möbius cube MQn and the crossed cube CQn are two important variants of the hypercube Qn. This paper shows that for any two different vertices u and v in G∈{MQn,CQn} with n⩾3, there exists a uv-path of every length from dG(u,v)+2 to n2−1 except for a shortest uv-path, where dG(u,v) is the distance between u and v in G. This result improves some known results.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics