Title
The Number Of Orientations Of A Tree Admitting An Efficient Dominating Set
Abstract
We give recursive methods for enumerating the number of orientations of a tree which can be efficiently dominated. We also examine the maximum number eta(q) of orientations admitting an efficient dominating set in a tree with q edges. While we are unable to give either explicit formulas or recursive methods for finding eta(q), we are able to show that the growth rate of the sequence (eta(q)) Stabilizes by showing that lim(q-->infinity) eta(q)(1/q) exists.
Year
Venue
Keywords
1997
ARS COMBINATORIA
dominating set
Field
DocType
Volume
Discrete mathematics,Combinatorics,Dominating set,Connected dominating set,Mathematics
Journal
45
ISSN
Citations 
PageRank 
0381-7032
1
0.48
References 
Authors
0
3
Name
Order
Citations
PageRank
David W. Bange162.49
Anthony E. Barkauskas262.49
Lane H. Clark3439.39