3 citations · 5 across the 4 of their papers we have counts for
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Exact double domination in subdivision, Mycielskian and middle graphs
Ali Behtoei, Rozhin Zarifian
WE determine the existence of exact (efficient) doubly dominating sets in three famous structures and in their complement for arbitrary graphs.
Cayley graphs with metric dimension two - A characterization
Ebrahim Vatandoost, Ali Behtoei, Yasser Golkhandy Pour
In this paper, we study the metric dimension of Cayley graphs. Specially, we present a complete characterization of Cayley graphs on Abelian groups whose metric dimension is two.
On the Randic and degree distance indices of the Mycielskian of a graph
Ali Behtoei, Mahdi Anbarloei
In a search for triangle-free graphs with arbitrarily large chromatic numbers, Mycielski developed a graph transformation that transforms a graph into a new graph which is called t…
Signed Roman Domination Number and Join of Graphs
Ali Behtoei, Ebrahim Vatandoost, Fezzeh Azizi Rajol Abad
In this paper we determine the signed Roman domination number of the join of cycles, wheels, fans and friendship graphs.