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Zagreb Polynomials of Certain Families of Dendrimer Nanostars | ||
| Tikrit Journal of Pure Science | ||
| Article 1, Volume 20, Issue 4, 2015, Pages 148-151 | ||
| Author | ||
| Nabeel E. Arif | ||
| Abstract | ||
| Let G be a simple connected graph with vertex set V(G) and edge set E(G). The first, second and third Zagreb polynomials of G are defined as 〖ZG〗_1 (G,x)=∑_(uv∈E(G))▒x^(d_u+d_v ) , ZG_2 (G,x)=∑_(uv∈E(G))▒x^(d_u d_v ) and ZG_3 (G,x)=∑_(uv∈E(G))▒x^|d_u-d_v | . A dendrimer is an artificially manufactured or synthesized molecule built up from branched units called monomers. In this paper, the first, second and third Zagreb polynomials of three types of dendrimers are computed. | ||
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