On Relaxed Skolem Mean Labling For Four Star

Abstract

In this paper, we prove that if $\ell $= m $<$ n, the four star K${}_{1, }$${}_{\ell }$${}_{ }$$\cup$ K${}_{1, }$${}_{\ell }$${}_{ }$$\cup$ K${}_{1, m }$$\cup$ K${}_{1, n}$ is a relaxed skolem mean graph if $|m-n|\, \le \, 2\ell \, +6$ for $\ell $= 2, 3, 4, . . . ; m = 2, 3, 4, . . . and $2\ell +m\, \le n\, \le \, 2\ell \, +\, m\, +6$.