Radio Number Associated with Zero Divisor Graph

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 chan...

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Bibliographic Details
Published in:Mathematics (Basel) 2020-12, Vol.8 (12), p.2187
Main Authors: Koam, Ali N. A., Ahmad, Ali, Haider, Azeem
Format: Article
Language:English
Subjects:
Callsigns
Channels
Food science
Frequencies
Graph coloring
Investigations
Labeling
Radio antennas
Radio broadcasting
radio labeling
radio number
Radio stations
Radio waves
Regulatory agencies
Transmitters
Wireless networks
zero divisor graph
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8122187