Geodesic
The cobondage number of a graph
Discussiones Mathematicae. Graph Theory, Tome 16 (1996) no. 2, pp. 111-117 Cet article a éte moissonné depuis la source Library of Science

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A set D of vertices in a graph G = (V,E) is a dominating set of G if every vertex in V-D is adjacent to some vertex in D. The domination number γ(G) of G is the minimum cardinality of a dominating set. We define the cobondage number b_c(G) of G to be the minimum cardinality among the sets of edges X ⊆ P₂(V) - E, where P₂(V) = X ⊆ V:|X| = 2 such that γ(G+X) γ(G). In this paper, the exact values of b_c(G) for some standard graphs are found and some bounds are obtained. Also, a Nordhaus-Gaddum type result is established.
Keywords: graph, domination number, cobondage number 
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Kulli, V.; Janakiram, B. The cobondage number of a graph. Discussiones Mathematicae. Graph Theory, Tome 16 (1996) no. 2, pp. 111-117. http://geodesic.mathdoc.fr/item/DMGT_1996_16_2_a1/

[1] E.J. Cockayne and S.T. Hedetniemi, Domination of undirected graphs - A survey, In: Theory and Applications of Graphs (Lecture Notes in Math. 642, Spring-Verlag, 1978) 141-147.

[2] J.F. Fink, M.S. Jakobson, L.F. Kinch and J. Roberts, The bondage number of a graph, Discrete Math. 86 (1990) 47-57, doi: 10.1016/0012-365X(90)90348-L.

[3] F. Harary, Graph Theory (Addison-Wesley, Reading Mass., 1969).

[4] E.A. Nordhaus and J.W. Gaddum, On complementary graphs, Amer. Math. Monthly 63 (1956) 175-177, doi: 10.2307/2306658.