Some Aspects of Radial Graphs Under Boolean Operations

Authors

  • S. Vetriselvi Department of Mathematics, Mepco Schlenk Engineering College (affiliated to the Anna University), Sivakasi, Virudhunagar 626005, Tamilnadu, India https://orcid.org/0000-0001-6989-9438
  • G. Sangeetha Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (affiliated to Madurai Kamaraj University), Sivakasi 626124, Virudhunagar, Tamilnadu, India https://orcid.org/0009-0006-1488-1314

DOI:

https://doi.org/10.26713/cma.v15i1.2122

Keywords:

Radial graph, Conjunction, Rejection, Cartesian product

Abstract

Two vertices of a graph \(G\) are said to be radial to each other if the distance between them is equal to the radius of the graph. The radial graph of a graph \(G\), denoted by \(R(G)\), has the vertex set as in \(G\) and two vertices are adjacent in \(R(G)\) if and only if they are radial to each other in \(G\). If \(G\) is disconnected, then the two vertices are adjacent in \(R(G)\) if they belong to different components of \(G\). The main objective of this paper is to determine the radial graphs of some families of product graphs.

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References

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Published

24-04-2024
CITATION

How to Cite

Vetriselvi, S., & Sangeetha, G. (2024). Some Aspects of Radial Graphs Under Boolean Operations. Communications in Mathematics and Applications, 15(1), 183–189. https://doi.org/10.26713/cma.v15i1.2122

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Section

Research Article