Browsing by Author "Aytaç, Aysun"
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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 ... 
Semitotal bondage number of certain graphs
Kartal, Zeliha; Aytaç, Aysun (İKSAD Yayınevi, 2019)A set S of vertices in a graph G with no isolated vertices is a semitotal dominating set, abbreviated STDset, of G if S is a dominating set of G and every vertex in S is within distance 2 of another vertex of S. The semitotal ... 
Semitotal domination number of some graph operations
Kartal Yıldız, Zeliha; Aytaç, Aysun (John Wiley and Sons Inc, 2021)A semitotal dominating set S (abbreviated semiTDset) of graph G = (V, E) is a subset such that S is a dominating set and each vertex in the S is within 2 distance from the another vertex of S. The semitotal domination ... 
Semitotal domination of Harary graphs
Kartal, Zeliha; Aytaç, Aysun (Tbilisi Centre for Mathematical Sciences, 2020)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. ... 
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 ... 
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 ...