Title of article :
On the ψk-polynomial of graph
Author/Authors :
Alsinai ، Ammar Department of Studies in Mathematics - University of Mysore , Alwardi ، Anwar Department of Mathematics - University of Aden , Farahani ، Mohammad reza Department of Applied Mathematics - Iran University of Science and Technology (IUST) , Soner ، Nandappa d. Department of Studies in Mathematics - University of Mysore
Abstract :
In this paper, for every kdegree distance we define ψk-Polynomial of a connected graph G=(V,E) as where ψk(i,j) is the number of edges uv in G such that {dk(v), dk(u)}={i,j} and dk(v), dk(u) are the kth degree distance of v and u, and δk, ∆k are the minimum and maximum kth distance degrees respectively. We compute the ψ2-Polynomial of some standard graphs and some graph operations. Also ψ2-Polynomial for honeycomb network and Graphene are obtained with their plotting in 3D.
Keywords :
Second degree of a vertex , polynomial of graph , ψ2-polynomial , ψk-polynomial
Journal title :
Eurasian Chemical Communications
Journal title :
Eurasian Chemical Communications
