Chromatic Number and some Properties of Pseudo-Von Neumann Regular graph of Cartesian Product of Rings
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Abstract
Let R be a commutative ring, the Pseudo – Von Neumann regular graph of the ring R is define as a graph whose vertex set consists of all elements of R and any two distinct vertices a and b are adjacent if and only if , this graph is denoted by P-VG(R), in this work we got some new results about chromatic number of Pseudo-Von Neumann regular graph of cartesian product of rings.
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References
[1] Beck.I, (1988).Coloring of commutative rings,
Journal of Algebra.116(1) :208-226.
[2] Bhavanari .S, Prasad .Syam and Dasari .N,
(2010).Prime Graph of a Ring, Journal of
Combinatorics, Information and System Sciences,
35(1-2), 27-42.
[3] Bhavanari S., and Devanaboina S., (2015).
Cartesian Product of Graphs VS Prime Graphs of
Rings, Global Journal of Pure and Applied
Mathematics , 11( 2) , 199-205.
[4] Kalita.S, (2014). Some Aspects of Prime Graph of
Some Rings, Phd , Univrsity of Gauhati, India.
[5] Patra .K, Kalita. S , (2014). Prime Graph of the
Commutative Rings