A Class Of Diameter Six Graceful Trees

Abstract

In this paper we give graceful labelings to diameter six trees( a₁, a₂, . . . , a_m; b₁, b₂, . . . , b_n; c₁, c₂, . . . , csatisfying the following property: m + n is odd, degree of each neighbour of a₀ is even, and the centers of the branches incident on the center ai of diameter four trees are either all odd branches or all even branches.