Let Γ(Zm) be the zero divisor graph of the ring Zm. In this paper we explore the p-partite structures of Γ(Zm), as well as determine a complete classification of the chromatic number of Γ(Zm). In particular, we explore how these concepts are related to the prime factorization of m.
Mike Axtell, Department of Mathematics, Wabash Collegeaxtellm@wabash.edu
"Proper Colorings and p-Partite Structures of the Zero Divisor Graph,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 7
, Article 16.
Available at: http://scholar.rose-hulman.edu/rhumj/vol7/iss2/16