## Volume 4, Issue 1

### ارسال های اخیر

• #### A note on a graph related to the comaximal ideal graph of a commutative ring ﻿

(Yazd University, 2017-02-01)

• #### On two-dimensional Cayley graphs ﻿

(Yazd University, 2017-02-01)
A subset W of the vertices of a graph G is a resolving set for G when for each pair of distinct vertices u,v in V (G) there exists w in W ...

• #### On the Edge-Difference and Edge-Sum Chromatic Sum of the Simple Graphs ﻿

(Yazd University, 2017-02-01)
‎For a coloring \$c\$ of a graph \$G\$‎, ‎the edge-difference coloring sum and edge-sum coloring sum with respect to the coloring \$c\$ are respectively‎ ‎\$sum_c D(G)=sum |c(a)-c(b)|\$ and \$sum_s S(G)=sum (c(a)+c(b))\$‎, ‎where ...

• #### The Main Eigenvalues of the Undirected Power Graph of a Group ﻿

(Yazd University, 2017-02-01)
The undirected power graph of a finite group \$G\$, \$P(G)\$, is a graph with the group elements of \$G\$ as vertices and two vertices are adjacent if and only if one of them is a power of the other. Let \$A\$ be an adjacency ...

• #### D-Spectrum and D-Energy of Complements of Iterated Line Graphs of Regular Graphs ﻿

(Yazd University, 2017-02-01)
The D-eigenvalues {µ1,…,µp} of a graph G are the eigenvalues of its distance matrix D and form its D-spectrum. The D-energy, ED(G) of G is given by ED (G) =∑i=1 ...

• #### Small graphs with exactly two non-negative eigenvalues ﻿

(Yazd University, 2017-02-01)
Let \$G\$ be a graph with eigenvalues \$lambda_1(G)geqcdotsgeqlambda_n(G)\$. In this paper we find all simple graphs \$G\$ such that \$G\$ has at most twelve vertices and \$G\$ has exactly two non-negative eigenvalues. In other words ...