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.
Extended Abstracts of the 6th Conference and Workshop on Mathematical Chemistry, Persian Gulf University, Bushehr, February 13 - 14, 2013 (Ed. M. Mogharrab)
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
)