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dd> Shaleema A. Arriola,
Doubly Isolate Domination in the Corona of Graphs.
Int. J. Math. Comput. Sci., 20, no. 2, (2025), 655-658

DOI:

https://doi.org/10.69793/ijmcs/02.2025/arriola

Keywords and phrases:

Dominating set, isolate dominating set, doubly isolate dominating set, corona, lexicographic product.

Abstract:

The doubly dominating set of a graph G is a set of dominating set S\ss V(G) such that both \ll S\rr and \ll V(G)\ssm S\rr have an isolated vertex. The cardinality of a doubly isolate dominating set with minimum cardinality is called doubly isolate domination number and is denoted by \00(G). In this paper, we characterize the doubly isolate dominating set for the corona and lexicographic product of two graphs.