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

01-06-2014

Issue

Volume 30 (June 2014)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Prime Graph of the Commutative Ring Z^n. (2014). MATEMATIKA, 30, 59-67. https://doi.org/10.11113/matematika.v30.n.663