Paper Information

Journal:   IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY   DECEMBER 2014 , Volume 5 , Number 1 (SUPPLEMENT); Page(s) 21 To 25.
 
Paper: 

THE NEIGHBOURHOOD POLYNOMIAL OF SOME NANOSTRUCTURES

 
 
Author(s):  ALIKHANI SAEID*, MAHMOUDI EISA
 
* DEPARTMENT OF MATHEMATICS, YAZD UNIVERSITY, 89195-741, YAZD, IRAN
 
Abstract: 

The neighbourhood polynomial N(G, x) , is generating function for the number of faces of each cardinality in the neighbourhood complex of a graph. In other word N(G, x)=SUIN(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.

 
Keyword(s): NEIGHBOURHOOD POLYNOMIAL, DENDRIMER NANOSTAR
 
References: 
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