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THE GEODETIC NON-SPLIT DOMINATION NUMBER OF A GRAPH

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P. Anto Paulin Brinto
» doi: 10.48047/ecb/2023.12.si7.139

Abstract

Let G be a connected graph. A set S⊆V(G) is called a geodetic non-split dominating set of G if S is both geodetic set and a non split dominating set of G. The geodetic non-split domination number of G is the minimum order of its geodetic non-split dominating set of G and denoted by γ_gns (G). In this paper, we determined the geodetic non-split domination number of some standard graphs.

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