Title
Bicritical domination
Abstract
A graph G is domination bicritical if the removal of any pair of vertices decreases the domination number. Properties of bicritical graphs are studied. We show that a connected bicritical graph has domination number at least 3, minimum degree at least 3, and edge-connectivity at least 2. Ways of constructing a bicritical graph from smaller bicritical graphs are presented.
Year
DOI
Venue
2005
10.1016/j.disc.2005.09.013
Discrete Mathematics
Keywords
DocType
Volume
vertex critical domination,domination,bounds,diameter,vertex bicritical domination
Journal
305
Issue
ISSN
Citations 
1-3
Discrete Mathematics
4
PageRank 
References 
Authors
0.53
3
4
Name
Order
Citations
PageRank
Robert C. Brigham115726.74
Teresa W. Haynes277494.22
Michael A. Henning31865246.94
Douglas F. Rall442252.18