%0 Journal Article
%T The Neighbourhood Polynomial of some Nanostructures
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Alikhani, S.
%A Mahmoudi, E.
%D 2014
%\ 12/01/2014
%V 5
%N Supplement 1
%P 21-25
%! The Neighbourhood Polynomial of some Nanostructures
%K Neighbourhood Polynomial
%K Dendrimer nanostar
%R 10.22052/ijmc.2014.7618
%X The neighbourhood polynomial G , is generating function for the number of faces of each cardinality in the neighbourhood complex of a graph. In other word $N(G,x)=sum_{Uin N(G)} x^{|U|}$, where N(G) is neighbourhood complex of a graph, whose vertices are the vertices of the graph and faces are subsets of vertices that have a common neighbour. In this paper we compute this polynomial for some nanostructures.
%U https://ijmc.kashanu.ac.ir/article_7618_915a872c50324158cd249be6c4db13ad.pdf