Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422185 | Applied Mathematics and Computation | 2011 | 4 Pages |
Abstract
Let G be a k-regular graph with girth at least 4, connectivity k, and restricted connectivity 2k-2. We prove in this paper that the edge neighbor connectivity of GÃK2 is k. As a consequence, the edge neighbor connectivity of n-dimensional hypercube is n-1. Furthermore, we prove that the edge neighbor connectivity of KnÃK2 is ân/2â.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xuebin Zhao, Zhao Zhang, Qin Ren,