Radio Number Associated with Zero Divisor Graph

Ali N. A. Koam, Ali Ahmad and Azeem Haider
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Ali N. A. Koam: Department of Mathematics, College of Science, New Campus, Jazan University, Jazan 45142, Saudi Arabia
Ali Ahmad: College of Computer Science and Information Technology, Jazan University, Jazan 45142, Saudi Arabia
Azeem Haider: Department of Mathematics, College of Science, New Campus, Jazan University, Jazan 45142, Saudi Arabia

Mathematics, 2020, vol. 8, issue 12, 1-10

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 ( Z p 2 × Z q 2 ) for p , q prime numbers.

Keywords: radio labeling; radio number; zero divisor graph (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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