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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

Unitary Cayley Graphs over Ring of Dual Numbers

Mohammad Abudayah1, Hasan Al-Ezeh2
1Department of Mathematics German Jordanian University
2Department of Mathematics University of Jordan
  • Published: 18/11/2015

Abstract

This paper studies the unitary Cayley graph associated with the ring of dual numbers, \(\mathbb{Z}_n[\alpha]\). It determines the exact diameter, vertex chromatic number, and edge chromatic number. In addition, it classifies all perfect graphs within this class.

Keywords: Ring of Dual Numbers, Unitary Cayley Graph, Chro- matic, Clique, Perfect Graph. AMS Subject Classification: 05025, 05C12, 05C17.
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Citation
Mohammad Abudayah, Hasan Al-Ezeh. Unitary Cayley Graphs over Ring of Dual Numbers[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 101. 73-81. DOI: .