A transversal semitotal dominating set in a graph G is a subset of vertices that intersects every minimal semitotal dominating set of \ (G \) and itself forms a semitotal dominating set. Among all sets that intersect each semitotal dominating set of a graph \ (G \), the one with the smallest cardinality defines a key parameter in the present study. This parameter is referred to as the transversal semitotal domination number and is denoted by \ (ₓₓ₂ (G) \). This paper investigates fundamental properties of this parameter in arbitrary graphs and determines exact values of \ (ₓₓ₂ (G) \) for several standard graph classes, including complete, star, wheel, cycle, path, and complete bipartite graphs.
Zeliha Kartal Yıldız (Tue,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: