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.
Alikhani, S., Mahmoudi, E. (2014). The Neighbourhood Polynomial of some Nanostructures. Iranian Journal of Mathematical Chemistry, 5(Supplement 1), 21-25. doi: 10.22052/ijmc.2014.7618
MLA
S. Alikhani; E. Mahmoudi. "The Neighbourhood Polynomial of some Nanostructures". Iranian Journal of Mathematical Chemistry, 5, Supplement 1, 2014, 21-25. doi: 10.22052/ijmc.2014.7618
HARVARD
Alikhani, S., Mahmoudi, E. (2014). 'The Neighbourhood Polynomial of some Nanostructures', Iranian Journal of Mathematical Chemistry, 5(Supplement 1), pp. 21-25. doi: 10.22052/ijmc.2014.7618
VANCOUVER
Alikhani, S., Mahmoudi, E. The Neighbourhood Polynomial of some Nanostructures. Iranian Journal of Mathematical Chemistry, 2014; 5(Supplement 1): 21-25. doi: 10.22052/ijmc.2014.7618
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