Title
Extremal connected graphs for independent domination number
Abstract
A general characterization of connected graphs on n vertices having the maximum possible independent domination number of ¿n+2-2n¿ is given. This result leads to a structural characterization of such graphs in all but a small finite number of cases. For certain situations, one of which occurs when n is a perfect square, the extremal graphs have a particularly simple structure.
Year
DOI
Venue
2004
10.1016/j.disc.2003.06.011
Discrete Mathematics
Keywords
Field
DocType
independent domination number,domination,extremal,total matching,connected graph,domination number
Discrete mathematics,Combinatorics,Indifference graph,Modular decomposition,Chordal graph,Domination analysis,Trapezoid graph,Mathematics,Metric dimension,Strong perfect graph theorem,Maximal independent set
Journal
Volume
Issue
ISSN
275
1
Discrete Mathematics
Citations 
PageRank 
References 
1
0.36
4
Authors
3
Name
Order
Citations
PageRank
Robert C. Brigham115726.74
Julie R. Carrington211.71
Richard P. Vitray383.48