Author/Authors :
سامپاته كومار، ر. نويسنده Mathematics Section, Faculty of Engineering and Technology, Annamalai University, Annamalainagar-608 002, India Sampathkumar, R. , پاراماگورو ، ن. نويسنده Mathematics Wing, Directorate of Distance Education, Annamalai University, Annamalainagar-608 002, India Paramaguru, N.
Abstract :
A modular k-coloring, k 2; of a graph G 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 their 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 CmPn
is determined.