lambda '-optimal digraphs

作者:Wang Shiying*; Lin Shangwei
来源:Information Processing Letters, 2008, 108(6): 386-389.
DOI:10.1016/j.ipl.2008.07.008

摘要

Restricted arc-connectivity is a more refined network reliability index than arc-connectivity. In this paper, we first introduce the concept of minimum arc-degree and show for many digraphs, the minimum arc-degree is an upper bound on the restricted arc-connectivity. Next we call a strongly connected digraph a lambda'-optimal digraph if its restricted arc-connectivity is equal to its minimum arc-degree. Finally, we give some sufficient conditions for a digraph to be lambda'-optimal.