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Abstract:
The bondage number b(G) of a nonempty graph G is the cardinality of a smallest set of edges whose removal from G results in a graph with domination number greater than γ(G), where γ(G) denotes the domination number of G. Let G be a connected planar graph. In this paper, we shall show that if G is free of i-cycles for some i ε {3,4,5,6}, then b(G) ≤ 6.
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Utilitas Mathematica
ISSN: 0315-3681
Year: 2011
Volume: 84
Page: 189-199
0 . 1 3 7
JCR@2011
0 . 2 7 9
JCR@2020
JCR Journal Grade:4
CAS Journal Grade:4
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 2
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