Browsing by Author "Motamedi, Ruhollah"

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    Extremal Trees for the Exponential of Forgotten Topological Index
    (Hindawi Ltd, 2022) Jahanbani, Akbar; Cancan, Murat; Motamedi, Ruhollah
    Let F be the forgotten topological index of a graph G. The exponential of the forgotten topological index is defined as e(F)(G) = sigma((x,y)is an element of S)t(x,y)(G)e((x2+y2)), where t(x,y)(G) is the number of edges joining vertices of degree x and y. Let T-n be the set of trees with n vertices; then, in this paper, we will show that the path P-n has the minimum value for e(F) over T-n.
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    Extremum Sum-Connectivity Index of Trees and Unicyclic Graphs
    (World Scientific Publ Co Pte Ltd, 2022) Shooshtari, Hajar; Motamedi, Ruhollah; Cancan, Murat
    The sum-connectivity index of a graph G is defined as the sum of weights 1/root d(w) +d(z ) over all edges wz of G, where d(w) and d(z) are the degrees of the vertices w and z in G, respectively. In this paper, we provide a simpler method to the extremal trees and unicyclic graph of the sum-connectivity index.