Abstract:<abstract><p>In this paper, we perform analytical and statistical studies of Revan indices on graphs $ G $: $ R(G) = \sum_{uv \in E(G)} F(r_u, r_v) $, where $ uv $ denotes the edge of $ G $ connecting the vertices $ u $ and $ v $, $ r_u $ is the Revan degree of the vertex $ u $, and $ F $ is a function of the Revan vertex degrees. Here, $ r_u = \Delta + \delta - d_u $ with $ \Delta $ and $ \delta $ the maximum and minimum degrees among the vertices of $ G $ and $ d_u $ is the degree of the vertex… Show more
“…Recently, some Sombor indices were studied, for example, in [8,9,10,11,12,13,14]. We define the edge version of modified Sombor index of a graph G as [1,1] nanotube is shown in Figure 1 (a).…”
Section: We Define the Edge Version Of Sombor Index Edge Version Of M...mentioning
Chemical Graph Theory is a branch of Mathematical Chemistry whose focus of interest is to finding topological indices of chemical graphs which correlate well with chemical properties of the chemical molecules. In this study, we define the edge version of Sombor index, the edge version of modified Sombor index and, the edge version of Nirmala index of a graph and compute exact formulas for certain families of nanotubes and nanotori.
“…Recently, some Sombor indices were studied, for example, in [8,9,10,11,12,13,14]. We define the edge version of modified Sombor index of a graph G as [1,1] nanotube is shown in Figure 1 (a).…”
Section: We Define the Edge Version Of Sombor Index Edge Version Of M...mentioning
Chemical Graph Theory is a branch of Mathematical Chemistry whose focus of interest is to finding topological indices of chemical graphs which correlate well with chemical properties of the chemical molecules. In this study, we define the edge version of Sombor index, the edge version of modified Sombor index and, the edge version of Nirmala index of a graph and compute exact formulas for certain families of nanotubes and nanotori.
In this paper, we introduce the modified domination Sombor index and its corresponding exponential of a graph. Also we introduce the domination Sombor exponential of a graph. We compute the modified domination Sombor index and its corresponding exponential for some standard graphs, French windmill graphs, friendship graphs and book graphs. Furthermore, we establish some properties of the domination Sombor index
“…We propose the modified delta Sombor index or sum connectivity delta F-index of a graph G and it is defined as Recently some Sombor indices were studied, for example, in [10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27].…”
In this paper, we introduce the delta F, modified delta Sombor and delta sigmaindices and their corresponding polynomials of a graph. Furthermore, we compute these indices and their corresponding polynomials for two families of nanotubesand two families of networks.
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