Semitotal domination of Harary graphs
Z. Kartal, A. Aytaç
Let G be a simple finite undirected and an isolatefree graph. A set S of vertices in G is a semitotal dominating set of G if it is a dominating set of G and
every vertex in S is within distance 2 of another vertex of S. The semitotal domination number, γ_{t2}(G), is the minimum cardinality of such a set. In this paper,
we study the semitotal domination number for Harary graphs, which was first introduced by Frank Harary.
Since Harary graphs have the maximum possible connectivity with the minimum number of edges, many researchers are interested in studying its stability properties.
In this paper, first we introduce new subclasses of analytic and biunivalent functions defined by fractional derivative operator in the open
unit disk and then for the functions belongs to these classes obtain upper bounds for the initial coefficients.
Tbilisi Mathematical Journal, Vol. 13(3) (2020), pp. 1117
