A graph G with α points and β lines is known as a Hmg if it is possible to value the points z∈V with different values g(z) from 1,2,…,β+1 in such a way that when every line l=ab is valued with g(l=ab)=⌈2g(a)g(b)/(g(a)+g(b) )⌉ or ⌊2g(a)g(b)/(g(a)+g(b) )⌋ then the line values are distinct. In this case, g is known as the Hml of G. In this paper, we proved we prove that some special graphs such as the Path union of two cycles C_m, k- Path union of two cycles C_m, Path union of two crowns C_m^* and k- Path union of two crowns C_m^* all are Hmg.