MODULAR CHROMATIC NUMBER OF CM PN

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PARAMAGURU N.; SAMPATHKUMAR R.

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Paper Information

Journal: TRANSACTIONS ON COMBINATORICS Year:2013 | Volume:2 | Issue:2 Page(s): 47-72

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Information Journal Paper

Title

MODULAR CHROMATIC NUMBER OF CM PN

Author(s)

PARAMAGURU N. | SAMPATHKUMAR R. | Issue Writer Certificate

Keywords

MODULAR COLORINGQ2

MODULAR CHROMATIC NUMBERQ2

CARTESIAN PRODUCTQ2

Abstract

A modular k-coloring, k³2, of a graph G without isolated vertices is a coloring of the vertices of G with the elements in Zk having the property that for every two adjacent vertices of G, the sums of the colors of the neighbors are different in Zk. The minimum k for which G has a modular k-coloring is the MODULAR CHROMATIC NUMBER of G. Except for some special cases MODULAR CHROMATIC NUMBER of Cm Pn is determined.

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