• NEAR Z4p - MAGIC LABELING

Abstract

For  any  non-trivial  abelian  group(modulo ,+), a graph  G(V,E)  is  said  to  be –magic  if there  exists  a  function  f  from  E(G)  into - where  ‘0’  is  the  additive  identity  element of  modulo ,  induce  a  mapping from V(G)  into such that = is a constant  for  all  vertices .  If = is  a  constant  for  almost  all vertices and for one or atmost two vertices of , is not the same constant where the summation is taken over all  the edges incident at ,  then  the  labeling  is  called  near – magic  labeling  and  the  graph  which  admits  near -magic  labeling  is  called  near -magic graph.  At the   end we  generalize   near -magic labeling into near _p - magic labeling.