Makale Koleksiyonu

Semitotal domination of some known trees

Kartal, Zeliha; Aytaç, Aysun (International Mathematical Virtual Institute, 2021)

Let G = (V, E) be a graph without isolated vertices with vertex set V of order n = |V | and edge set E of size m = |E|. A vertex of a graph G is said to dominate itself and all its neighbors. A semitotal dominating set in ...
Semitotal domination of Harary graphs

Kartal, Zeliha; Aytaç, Aysun (Tbilisi Centre for Mathematical Sciences, 2020)

Let G be a simple ﬁnite undirected and an isolate-free 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. ...
Determination the importance of vertices in graph

Kartal, Zeliha; Aytaç, Aysun (Technical University of Civil Engineering, 2020)

Betweenness is a good measure of the centrality of a vertex in a graph modeling social or communication network. Betweenness centrality is a measure of centrality in a graph based on shortest paths. For every pair of ...
Total influence number in complementary prisms

Aytaç, Aysun; Kartal, Zeliha (International Mathematical Virtual Institute, 2019)

The graph labeling problem that appears in graph theory has a fast development recently. Numerous variations of labeling have been investigated in the literature. The total inﬂuence number is a new approach to the concept ...