Abstract

A (n,m) graph G =(V,E) is said to be Cubic Harmonious Graph(CHG) if there exists an injective
function f:V(G)→{1,2,3,………m3+1} such that the induced mapping f *
chg: E(G)→ {13
,23
,33
,……….m
3
}
defined by f *
chg (uv) = (f(u)+f(v)) mod (m3+1) is a bijection. we have proved that star and
bistar related graphs are cubic harmonious.