A SIMPLE HEURISTIC FOR MINIMUM CONNECTED DOMINATING SET IN GRAPHS
2003 ◽
Vol 14
(02)
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pp. 323-333
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Keyword(s):
Let α2(G), γ(G) and γc(G) be the 2-independence number, the domination number, and the connected domination number of a graph G respectively. Then α2(G) ≤ γ (G) ≤ γc(G). In this paper , we present a simple heuristic for Minimum Connected Dominating Set in graphs. When running on a graph G excluding Km (the complete graph of order m) as a minor, the heuristic produces a connected dominating set of cardinality at most 7α2(G) - 4 if m = 3, or at most [Formula: see text] if m ≥ 4. In particular, if running on a planar graph G, the heuristic outputs a connected dominating set of cardinality at most 15α2(G) - 5.
2018 ◽
Vol 7
(4.10)
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pp. 585
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2020 ◽
Vol 12
(05)
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pp. 2050066
2013 ◽
Vol 05
(03)
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pp. 1350009
2014 ◽
Vol 06
(03)
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pp. 1450032
2013 ◽
Vol 30
(4)
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pp. 1173-1179
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