planarity of the intersection graph. Also, among the other things, we show that if the

clique number of G(P) is finite, then P is finite too....

the

clique number and automorphism group of n

R, where R = Zp^2 or R = Zp^3 ....

,graph height, Wiener index and clique number. Moreover, we study the Hasse ideal digraph HT(R), which is a spanning subgraph of IT(R) such that for each two distinct vertices I and J, there is an arc from I to J in HT(R) whenever I -J in IT...

and J are adjacent whenever

I + K = J or J + K = I, for some ideal K in S . In this paper, we study some basic properties of the graphs

Cay^-(I(R); S ) and Cay^+(I(R); S ) such as connectivity, girth and clique number. Moreover, we...

Let R be a Noetherian commutative ring. The regular digraph of ideals of

R introduced in [10] which denoted by

−−→

Γreg(R). The vertex set of

−−→

Γreg(R) is set of

nontrivial ideals ...

except the case that |X|= 2 and n = 1. Also we investigate the clique number of G_n R. Moreover we obtain a

suitable bound for the independence number of G_n R....

In this paper, for a bounded lattice L and an ideal I of L, we introduce the

zero-divisor graph of L with respect to I , denoted by T-I (L). We study the interplay

of lattice-theoretic properties of L with ...

The aim of this paper is to identify complete power graphs of groups and compute their clique number and show that power graphs are perfect. Moreover, automorphism of the power graph of cyclic groups is determined here....

-divisors of R. In this paper,

we examine the preservation of the diameter, girth and completeness of T(Γ(R)) under

extension to polynomial rings and rings of fractions. We also study the chromatic index,

clique number and independence number...

‎Let R be a commutative ring with non-zero identity‎. ‎The‎

‎cozero-divisor graph of R, ‎denoted by \\Gamma'(R), ‎is a graph‎

‎with vertices in W^*(R), ‎which is the set of all non-zero and‎

‎non-unit ...