TY - JOUR
ID - 58128
TI - Mathematical Properties and Computations of Banahatti indices for a Nano-Structure "Toroidal Polyhex Network"
JO - Asian Journal of Nanoscience and Materials
JA - AJNM
LA - en
SN - 2645-775X
AU - Firdous, Shama
AU - Nazeer, Waqas
AU - Farahani, Mohammad Reza
AD - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
AD - Divisionof Science and Technology, University of Education, Lahore, 54000, Pakistan
AD - Department of Applied Mathematics of Iran University of Science and Technology (IUST), Narmak, Tehran 16844, Iran
Y1 - 2018
PY - 2018
VL - 1
IS - 1
SP - 47
EP - 51
KW - topological index
KW - Banhatti index
KW - network
DO - 10.26655/ajnanomat.2018.1.6
N2 - Abstract: Let G be the connected graph with vertex set V(G) and edge set E(G).The first and second K Banhatti indices of G are defined as B1(G)=Σue[dG (u) +dG (e)] and B2(G)=Σue[dG (u) +dG (e)] where ue means that the vertex u and edge e are incident in G.The first and second K hyper Banhatti indices of G are defined as HB1(G) = Σue[dg(u) + dG (e)]2 and HB2(G) = Σue[dg(u) dG (e)]2 respectively . In this paper, we compute the first and second K Banhatti indices of toroidal polyhex network. In addition, the first and second K hyper Banhatti indices of toroidal polyhex networks are determined. Keywords: Topological index, Banhatti index, Network.
UR - http://www.ajnanomat.com/article_58128.html
L1 - http://www.ajnanomat.com/article_58128_46c1108124798e40eb03f99aa3836c03.pdf
ER -