Computing Sanskruti index of certain nanostructures

Computing Sanskruti Index of Dendrimer Nanostars

“…And also, summation of degrees of edge endpoints of this nanostar have six types e (3,5) , e (5,5) , e ′ (5,5) ,e (5,7) , e (7,9) and e (9,9) that are shown in Figure 2 by red, yellow, green, blue, hoary and black colors. Since for all edge e = uv of the types e (3,5) , S v = 3 (for all hydrogen H atom) and S u = 5 and for an edge xy of the types e ′ (5,5) , S x = S y = 5, such that vertices x and y are one of adjacent vertices of degree 2 and other types are analogous.…”

“…The Sanskruti index was introduced by Hosamani [7] and defined as S(G) = uv∈E(G) ( SuSv Su+Sv−2 ) 3 where Su is the summation of degrees of all neighbors of vertex u in G. In this paper, we give explicit formulas for the Sanskruti index of an infinite class of dendrimer nanostars. …”

On Topological Indices of Fractal and Cayley Tree Type Dendrimers

“…The computation of topological indices and their properties of certain networks, carbon graphite, crystal cubic carbon, copper oxide, and nanotubes are discussed in [17][18][19][20][21][22]. The Sanskruti index ( ) of line graphs of subdivision graphs of 2D-lattice, nanotube, nanotorus of 4 8 [ , ] and polycyclic aromatic hydrocarbons is investigated in [23,24].…”

Some Degree-Based Topological Indices of Base-3 Sierpiński Graphs

“…More recently, motivated by the previous research on topological descriptors and their applications, Hosamani [20] proposed the Sanskruti index which can be utilized to guess the bioactivity of chemical compounds and shows good correlation with entropy of an octane isomers.…”