Results 31 to 40 of about 73,809 (233)
Kuwait Journal of Science, 2021 Mili\v{c}evi\'{c} \textit{et al.}, in 2004, introduced topological indices known as Reformulated Zagreb indices, where they modified Zagreb indices using the edge-degree instead of vertex degree.
Abhay Rajpoot, Lavanya Selvaganesh
doaj +1 more source
Zagreb Indices of Trees, Unicyclic and Bicyclic Graphs With Given (Total) Domination
IEEE Access, 2019 Let G = (V, E) be a (molecular) graph. For a family of graphs G, the first Zagreb index M1 and the second Zagreb index M2 have already studied. In particular, it has been presented, the first Zagreb index M1 and the second Zagreb index M2 of trees T in ...
Doost Ali Mojdeh +3 more
doaj +1 more source
The Zagreb Index of Several Random Models
Journal of Stochastic Analysis, 2022 In this article, we investigate the Zagreb index, a kind of graph-based topological index, of several random networks, including a class of networks extended from random recursive trees, plain-oriented recursive trees, and random caterpillars growing in a preferential attachment manner.
openaire +2 more sources
Modified Zagreb connection indices of the T-sum graphs
Main Group Metal Chemistry, 2020 The quantitative structures activity relationships (QSAR) and quantitative structures property relationships (QSPR) between the chemical compounds are studied with the help of topological indices (TI’s) which are the fixed real numbers directly linked ...
Ali Usman, Javaid Muhammad, Kashif Agha
doaj +1 more source
About the Zagreb Indices [PDF]
Kemija u Industriji, 2010 The original Zagreb indices and some of their variants, such as the modified Zagreb indices, variable Zagreb indices, reformulated original Zagreb indices, reformulated modified Zagreb indices, Zagreb indices as complexity indices, general Zagreb indices,
Gutman, I. +3 more
doaj
Sharp Bounds of the Hyper-Zagreb Index on Acyclic, Unicylic, and Bicyclic Graphs
Discrete Dynamics in Nature and Society, 2017 The hyper-Zagreb index is an important branch in the Zagreb indices family, which is defined as ∑uv∈E(G)(d(u)+d(v))2, where d(v) is the degree of the vertex v in a graph G=(V(G),E(G)). In this paper, the monotonicity of the hyper-Zagreb index under some
Wei Gao +5 more
doaj +1 more source
Topological Properties of Nanostar Dendrimer and Smart Polymer
Journal of Chemistry, 2020 The nanostar dendrimers are a piece of another gathering of macromolecules that seem, by all accounts, to be photon pipes simply like counterfeit reception apparatuses.
Muhammad Aamer Rashid +3 more
doaj +1 more source
M-Polynomials and Degree-Based Topological Indices of the Molecule Copper(I) Oxide
Journal of Chemistry, 2021 Topological indices are numerical parameters used to study the physical and chemical residences of compounds. Degree-based topological indices have been studied extensively and can be correlated with many properties of the understudy compounds.
Faryal Chaudhry +5 more
doaj +1 more source
On the Zagreb Index of Random Recursive Trees [PDF]
Journal of Applied Probability, 2011 We investigate the Zagreb index, one of the topological indices, of random recursive trees in this paper. Through a recurrence equation, the first two moments of Zn, the Zagreb index of a random recursive tree of size n, are obtained. We also show that the random process {Zn − E[Zn], n ≥ 1} is a martingale.
Feng, Qunqiang, Hu, Zhishui
openaire +3 more sources
On General Reduced Second Zagreb Index of Graphs
Mathematics, 2022 Graph-based molecular structure descriptors (often called “topological indices”) are useful for modeling the physical and chemical properties of molecules, designing pharmacologically active compounds, detecting environmentally hazardous substances, etc.
Lkhagva Buyantogtokh +2 more
openaire +4 more sources