On Harmonious Coloring of Middle Graph ofOn Harmonious Coloring of Middle Graph of  ,   and

doi:10.1285/i15900932v29n2p201

On Harmonious Coloring of Middle Graph ofOn Harmonious Coloring of Middle Graph of $C(C_n)$ , $C(K_{1,n})$ and $C(P_n)$

Akbar Ali.M.M

Abstract

In this paper, we present the structural properties of middle graph of central graph of cycles $C_n$ , star graphs $K_{1,n}$ and paths $P_n$ denoted by $M(C(C_n))$ , $M(C(K_{1,n}))$ and $M(C(P_n))$ respectively. We mainly have our discussion on the harmonious chromatic number of $M(C(C_n))$ , $M(C(K_{1,n}))$ and $M(C(P_n))$ .