ISSN:
1572-9125
Keywords:
F.1.3
;
F.2.2
;
G.2.2
;
Computational complexity
;
analysis of algorithms
;
P-completeness
;
dominating sets
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We analyse a greedy heuristic for finding small dominating sets in graphs: bounds on the size of the dominating set so produced had previously been derived in terms of the size of a smallest dominating set and the number of vertices and edges in the graph, respectively, We show that computing the resulting small dominating set isP-hard and so cannot be done efficiently in parallel (in the context of the PRAM model of parallel computation). We also consider a related non-deterministic greedy heuristic.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01990343
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