R. Sharafdini

activity

20082024

most citedSplice Graphs and Their Topological Indices

9 citations · 14 across the 9 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.CO2016

Status connectivity indices and co-indices of graphs and its computation to intersection graph, hypercube, Kneser graph and achiral polyhex nanotorus

Harishchandra S. Ramane, Ashwini S. Yalnaik, Reza Sharafdini

The status of a vertex $u$ in a connected graph $G$ , denoted by $σ_{G} (u)$ , is defined as the sum of the distances between $u$ and all other vertices of a graph $G$ . The first and se…

math.CO2016★ 9 cited

Splice Graphs and Their Topological Indices

Reza Sharafdini, Ivan Gutman

Let $G_{1} = (V_{1}, E_{1})$ and $G_{2} = (V_{2}, E_{2})$ be two graphs with disjoint vertex sets $V_{1}$ and $V_{2}$ . Let $u_{1} \in V_{1}$ and $u_{2} \in V_{2}$ . A splice of $G_{1}$ and $G_{2}$ by vertices $u_{1}$ …

math.CO2016★ 1 cited

Vertex weighted Laplacian graph energy and other topological indices

Reza Sharafdini, H. Panahbar

Let $G$ be a graph with a vertex weight $ω$ and the vertices $v_{1}, \dots, v_{n}$ . The Laplacian matrix of $G$ with respect to $ω$ is defined as $L_ω(G)=\mathrm{diag}(ω(v_1),\cdots,ω(v…

math.CO2016

Applications of a theorem by Ky Fan in the theory of weighted Laplacian graph energy

Reza Sharafdini, Alireza Ataei, Habibeh Panahbar

The energy of a graph $G$ is equal to the sum of the absolute values of the eigenvalues of $G$ , which in turn is equal to the sum of the singular values of the adjacency matrix of…