The neighbourhood polynomial of some families of dendrimers
Mohamad Nazri Husin, Roslan Hasni · Journal of Physics Conference Series · 2018
The neighbourhood polynomial N ( G,x ) is generating function for the number of faces of each cardinality in the neighbourhood complex of a graph and it is defined as , where N ( G ) is neighbourhood complex of a graph, whose vertices of the graph and faces are subsets of vertices that have a common neighbour. A dendrimers is an artificially manufactured or synthesized molecule built up from branched units called monomers. In this paper, we compute this polynomial for some families of dendrimer.