Browsing by Author "Berberler, Murat Ersen"

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Citation - WoS: 3
Citation - Scopus: 2
The Edge Geometric-Arithmetic Index of an Infinite Class of Dendrimers
(Amer Scientific Publishers, 2013) Odabas, Zeynep Nihan; Berberler, Murat Ersen
The edge version of geometric-arithmetic index is a newly proposed graph invariant in mathematical chemistry. The edge GA index of graphs is based on the end-vertex degrees of edges of their line graphs. In this paper, the edge geometric-arithmetic index of an infinite class of dendrimers is investigated, and exact formula is derived.
Citation - WoS: 4
Citation - Scopus: 2
On the First Zagreb Index of Neighborhood Corona Graphs
(Amer Scientific Publishers, 2014) OdabaS, Zeynep Nihan; Berberler, Murat Ersen
The first Zagreb index is defined as the sum of squares of the degrees of vertices in a graph. The neighborhood corona, G*H, of two graphs is defined as the graph obtained by taking one copy of G and vertical bar V (G)vertical bar copies of H and for each i, making all vertices in the ith copy of H adjacent with the neighbors of v(i), i = 1, 2, ... , vertical bar V (G)vertical bar. In this paper, the first Zagreb index of neighborhood corona graphs is computed, and exact formulas are derived.