학술논문

Radio Number Associated with Zero Divisor Graph
Document Type
article
Source
Mathematics, Vol 8, Iss 12, p 2187 (2020)
Subject
radio labeling
radio number
zero divisor graph
Mathematics
QA1-939
Language
English
ISSN
2227-7390
Abstract
Radio antennas use different frequency bands of Electromagnetic (EM) Spectrum for switching signals in the forms of radio waves. Regulatory authorities issue a unique number (unique identifying call sign) to each radio center, that must be used in all transmissions. Each radio center propagates channels to the two nearer radio centers so they must use distinctive numbers to avoid interruption. The task of effectively apportioning channels to transmitters is known as the Channel Assignment (CA) problem. CA Problem is discussed under the topic of graph coloring by mathematicians. The radio number of a graph can be used in many parts of the field communication. In this paper, we determined the radio number of zero-divisor graphs Γ(Zp2×Zq2) for p,q prime numbers.