Abstract

Harary and Norman introduced the Line graph \(L(G)\). We introduced the split complement line domonation number by posting the disconnected property on the dominating sets of \(\overline{L(G)}\). In this paper, we study the connectedness property of dominating sets of \(\overline{L(G)}\) by defining non-split domination parameter. Also, we studied its graph theoretical properties in terms of elements of \(G\).

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