TY - JOUR ID - 30195 TI - Narumi-Katayama Polynomial of Some Nano Structures JO - International Journal of Nanoscience and Nanotechnology JA - IJNN LA - en SN - 1735-7004 AU - Aghamohammadi, S. Z. AD - Department of Mathematics, Islamshahr Branch, Islamic Azad University, Islamshahr, I.R. Iran. Y1 - 2018 PY - 2018 VL - 14 IS - 1 SP - 1 EP - 10 KW - Narumi-Katayama polynomial KW - Coefficients of a polynomial KW - Nanostar dendrimers KW - Fullerenes. ‎ DO - N2 - ‎    The Narumi-Katayama index is the first topological index defined by the product of some graph theoretical quantities. Let G be a simple graph. Narumi-Katayama index of G is defined as the product of the degrees of the vertices of G. In this paper, we define the Narumi-Katayama polynomial of G. Next, we investigate some properties of this polynomial for graphs and then, we obtain this polynomial for some composite graphs such as splice, link, join, composition and Cartesian product of two graphs. Finally, using our results, we compute this polynomial for some nanostructures such as dendrimers and the chain of fullerenes. UR - https://www.ijnnonline.net/article_30195.html L1 - https://www.ijnnonline.net/article_30195_0cfac3fa56dafb855c4d5427589ca337.pdf ER -