A note on the vertex-switching reconstruction.
Krasikov, I. (1988)
International Journal of Mathematics and Mathematical Sciences
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Krasikov, I. (1988)
International Journal of Mathematics and Mathematical Sciences
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Teresa W. Haynes, Stephen T. Hedetniemi, Jessie D. Jamieson, William B. Jamieson (2014)
Discussiones Mathematicae Graph Theory
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A path π = (v1, v2, . . . , vk+1) in a graph G = (V,E) is a downhill path if for every i, 1 ≤ i ≤ k, deg(vi) ≥ deg(vi+1), where deg(vi) denotes the degree of vertex vi ∈ V. The downhill domination number equals the minimum cardinality of a set S ⊆ V having the property that every vertex v ∈ V lies on a downhill path originating from some vertex in S. We investigate downhill domination numbers of graphs and give upper bounds. In particular, we show that the downhill domination number...
Ghameshlou, A.N., Saei, R., Sheikholeslami, S.M., Volkmann, L. (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Gary Chartrand, Ronald J. Gould, S. F. Kapoor (1980)
Mathematica Slovaca
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Filip Guldan (1986)
Mathematica Slovaca
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