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

11 papers

math.GR2024

A survey on conjugacy class graphs of groups

P. J. Cameron, F. E. Jannat, R. K. Nath +1

There are several graphs defined on groups. Among them we consider graphs whose vertex set consists conjugacy classes of a group $G$ and adjacency is defined by properties of the e…

math.CO2018

Signless Laplacian determinations of some graphs with independent edges

R. Sharafdini, A. Z. Abdian

{Signless Laplacian determinations of some graphs with independent edges}% {Let $G$ be a simple undirected graph. Then the signless Laplacian matrix of $G$ is defined as $D_G + A_G…

math.CO2017★ 1 cited

On the transmission-based graph topological indices

Reza Sharafdini, Tamas Reti

The distance $d (u, v)$ between the vertices $u$ and $v$ of a connected graph $G$ is defined as the number of edges in a minimal path connecting them. The \emph{transmission} of a ve…

math.CO2017★ 3 cited

Energy of commuting graph of finite groups whose centralizers are Abelian

Reza Sharafdini, Rajat Kanti Nath, Rezvan Darbandi

Let $Γ$ be a graph with the adjacency matrix $A$ . The energy of $Γ$ is the sum of the absolute values of the eigenvalues of $A$ . In this article we compute the energies of the comm…

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…

math.CO2013

Coherent configurations over copies of association schemes of prime order

Reza Sharafdini, Mitsugu Hirasaka

Let $G$ be a group acting faithfully and transitively on $Ω_{i}$ for $i = 1, 2$ . A famous theorem by Burnside implies the following fact: If $∣ Ω_{1} ∣ = ∣ Ω_{2} ∣$ is a prime and the rank of one…

math.CO2010

Characterization of Balanced Coherent Configurations

Mitsugu Hirasaka, Reza Sharafdini

Let $G$ be a group acting on a finite set $Ω$ . Then $G$ acts on $Ω \times Ω$ by its entry-wise action and its orbits form the basis relations of a coherent configuration (or shortly…

math.CO2008

Semisimplicity of cellular algebras over positive characteristic fields

Reza Sharafdini

In this paper, we investigate semisimplicity of cellular algebras over positive characteristic fields. Our main result shows that the Frame number of cellular algebras characterize…