Neighbour Degree Connectivity Indices of Graphs and Its Applications to the Octane Isomers

Ashwini Yalaniak, Supriya Butte

Abstract: The sum of neighbour degrees ?G(u) of a vertex u is defined as the sum of the degrees of all neighbour vertices of u of a graph G. In this paper, we obtained neighouhourhood version of Zagreb indices of line graph of the subdivision graph of 2D-lattice of T UC4C8[p; q] and graphene sheet.

Keywords: Neighbour, degree, neighbour degree connectivity indices, graphene sheet