Given a connected noncomplete graph G with order at least 3, a  subset  is an independent semitotal dominating set of G, abbreviated ISTd-set of G, if W independently dominates G and every element of W is exactly at distance 2 from another element of W. The minimum cardinality of such an ISTd-set of G is denoted by  and is called a -set of G. In this study, we characterize the ISTd-sets of the vertex corona  and edge corona of two connected graphs G and H, each of which has order at least 3. Finally, we generate specific formulas for the numbers and

independent semitotal domination, vertex corona of graphs, edge corona of graphs.

Received: March 3, 2023; Revised: April 6, 2023; Accepted: April 20, 2023; Published: May 13, 2023

How to cite this article: Bryan L. Susada and Rolito G. Eballe, Independent semitotal domination in the corona of graphs, Advances and Applications in Discrete Mathematics 39(1) (2023), 89-98. http://dx.doi.org/10.17654/0974165823038

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