Prime Graph of the Commutative Ring Z^n

Authors

  • K. Patra
  • S. Kalita

DOI:

https://doi.org/10.11113/matematika.v30.n.663

Abstract

Prime graph is a graph associated to rings denoted by PG(R). PG(R) is defined as the graph whose vertices are the elements of the ring R and any two elements x and y of R are adjacent in PG(R) if and only if xRy = 0 or yRx = 0. In this paper the chromatic number of prime graph of some rings namely Zn, where n = Qr i=1 pαi i are studied. Keywords : Prime Graph; Chromatic Numbers. 2010 Mathematics Subject Classification 05C25; 05C15; 13E15

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Published

2014-06-01

How to Cite

Patra, K., & Kalita, S. (2014). Prime Graph of the Commutative Ring Z^n. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 30, 59–67. https://doi.org/10.11113/matematika.v30.n.663

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Section

Mathematics