Author/Authors :
Rather, Bilal A Department of Mathematics - University of Kashmir, Srinagar, India , Pirzada, S Department of Mathematics - University of Kashmir, Srinagar, India , Imran Bhat, M Department of Mathematics - Central University of Kashmir, Kashmir, India , Chishti, T. A DDE - Mathematics Section - University of Kashmir, Srinagar, India
Abstract :
For a finite commutative ring Zn with identity 1≠0, the zero divisor graph Γ(Zn) is a simple connected graph having vertex set as the set of non-zero zero divisors, where two vertices x and y are adjacent if and only if xy=0. We find the Randi'c spectrum of the zero divisor graphs Γ(Zn), for various values of n and characterize n for which Γ(Zn) is Randi'c integral.
Keywords :
Randic matrix , Randic spectrum , zero divisor graph , commutative rings
