Abstract:Recently, some leap Zagreb indices of a graph based on the second degrees of vertices were introduced. In this paper, we propose the product connectivity leap index and ABC leap index of a graph. We compute the sum connectivity leap index, product connectivity leap index, ABC leap index and geometric-arithmetic leap index of helm graphs.
“…If i ¼ 6, then f ðx 6 , y 6 Þ ¼ ABC 6 ðGÞ, where x 6 ¼ d 2 ðuÞ d 2 ðuÞ is the 2-distance of the vertex u in G is the number of 2-neighbors (i.e., N 2 ðuÞ ¼ fv 2 V : dðu, vÞ ¼ 2g) of u in G and y 6 ¼ d 2 ðvÞ: Kulli 28 introduced the sixth atom bond connectivity index (or, Leaf atom bond connectivity index).…”
Section: Different Versions Of the Atom-bond Connectivity Indicesmentioning
In theoretical chemical sciences, the different versions of the Atom-Bond Connectivity (ABC) indices are used in the statistical analysis of drug molecular structures which are helpful for chemical and medical scientists to find out the chemical and biological characteristics of drugs. In this article, we compute and analyze the different versions of the ABC indices of some significant molecular structures of drugs which are applied to test the medicinal and pharmaceutical characteristics, such as calculated 50% inhibitory concentration IC 50 values and Half maximal effective concentration values for the Treatment and Prevention of COVID-19.
“…If i ¼ 6, then f ðx 6 , y 6 Þ ¼ ABC 6 ðGÞ, where x 6 ¼ d 2 ðuÞ d 2 ðuÞ is the 2-distance of the vertex u in G is the number of 2-neighbors (i.e., N 2 ðuÞ ¼ fv 2 V : dðu, vÞ ¼ 2g) of u in G and y 6 ¼ d 2 ðvÞ: Kulli 28 introduced the sixth atom bond connectivity index (or, Leaf atom bond connectivity index).…”
Section: Different Versions Of the Atom-bond Connectivity Indicesmentioning
In theoretical chemical sciences, the different versions of the Atom-Bond Connectivity (ABC) indices are used in the statistical analysis of drug molecular structures which are helpful for chemical and medical scientists to find out the chemical and biological characteristics of drugs. In this article, we compute and analyze the different versions of the ABC indices of some significant molecular structures of drugs which are applied to test the medicinal and pharmaceutical characteristics, such as calculated 50% inhibitory concentration IC 50 values and Half maximal effective concentration values for the Treatment and Prevention of COVID-19.
“…Recently, some connectivity indices were studied for example, in [8,9,10,11,12]. In this paper, the product connectivity E-Banhatti index, the reciprocal product connectivity E-Banhatti index and their corresponding polynomials of wheel graphs and certain nanotubes are computed.…”
The connectivity indices are applied to measure the chemical characteristics of chemical compounds in Chemical Sciences. Recently, a novel degree concept has been defined in Graph Theory: Banhatti degree of a vertex in a graph. In this paper, the product connectivity E-Banhatti and the reciprocal product connectivity E-Banhatti indices are defined by using Banhatti degree concept. We also compute these newly defined EBanhatti indices of wheel graphs and certain nanotubes
“…In recent years, some topological indices were studied, for example, in [8,9,10,11,12,13,14,15,16,17,18,19 ]. In this paper, some multiplicative connectivity KV indices for POPAM dendrimers and tetrathiafulvalene dendrimers are computed.…”
The connectivity indices are applied to measure the chemical characteristics of chemical compounds in chemistry. In this paper, we introduce the multiplicative sum connectivity KV index, multiplicative product connectivity KV index, multiplicative ABC KV index and multiplicative GA KV index of a molecular graph. We determine these multiplicative connectivity KV indices of POPAM dendrimers and tetrathiafulvalene dendrimers.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.