[PDF] Top 20 Note on multiple Zagreb indices

... second Zagreb descriptors are among the oldest graph invariants, defined in 1972 by Gutman and his co-authors [7], and are given different names such as the Zagreb group indices, the Zagreb ... See full document

... First Zagreb index, Second Zagreb index, First Multiple Zagreb index, Second Multiple Zagreb index, Augmented Zagreb index, Harmonic index, Hyper Zagreb index, ... See full document

... Throughout this paper graph means simple connected graphs. Let G be a connected graph with vertex and edge sets V(G) and E(G), respectively. As usual, the degree of a vertex u of G is denoted by deg(u) and it is defined ... See full document

... A molecular graph is a simple graph, such that its vertices correspond to the atoms and the edges to the bonds. Note that hydrogen atoms are often omitted. Molecular descriptors play a significant role in ... See full document

... In probability theory and statistics, the moment generating function of a random variable is an alternative specification of its probability distribution. Thus, it provides the basis of an alternative route to analytical ... See full document

... Let 𝐺 = (𝑉, 𝐸) be a finite, undirected, connected graph without loops and multiple edges. The k-neighbourhood [23] of a vertex 𝑣 ∈ 𝑉(𝐺) is denoted and defined by 𝑁 𝑘 (𝑣/𝐺) = {𝑢 ∈ 𝑉(𝐺): 𝑑(𝑢, 𝑣) = 𝑘} in which 𝑑(𝑢, ... See full document

... Throughout this paper, we consider simple graphs which are finite, indirected graphs with- out loops and multiple edges. Suppose G is a graph with a vertex set V (G) and an edge set E(G). For a graph G, the degree ... See full document

... Throughout this article, only finite, undirected and simple graphs without loops and multiple edges are considered. Let G be such a graph and V(G) and E(G) be its vertex and edge set, respectively. The degree of a ... See full document

... The Zagreb indices belong to the oldest and the best researched topological ...this note we show how the information about one of the generalizations, the first general Zagreb index, ... See full document

... first Zagreb, the third Zagreb, the atom-bond connectivity (ABC), the augmented Zagreb, the first multiple Za- greb and geometric-arithmetic (GA) indices of the Cartesian product of F ... See full document

... In this section, we focus on the structure of hydrocarbon structures and counting the First Multiple Zagreb index and Second Multiple Zagreb index of Polycyclic Aromatic Hydrocarbons PAH. The ... See full document

... topological indices) are used for modeling physicochemical, pharmaco- logic, toxicologic, biological and other properties of chemical ...compounds. Zagreb indices were introduced more than forty ... See full document

... The Zagreb indices have been studied extensively due to their nu- merous applications in the place of existing chemical methods which need more time and increase the ...the Zagreb indices have ... See full document

... A molecular graph is a graph whose vertices correspond to the atoms and the edges to the bonds. Chemical graph theory has an important effect on the development of the Chemical Sciences. A single number that can be used ... See full document

... Let G be an overfull graph with maximum degree Δ. In the following Theorems, let G is an overfull graph. It should be noted that, according to Theorem 2 such graphs have no pendant[r] ... See full document

... connection with ABC index [4] and Geometric-Arithmetic index [7]. In [9][10], Kulli discussed new multiplicative version of connectivity indices in nanotubes. In 2017, Kulli also proposed new arithmetic-geometric ... See full document

... In chemical graph theory, a molecular structure can be rep- resented by vertices and edges where vertices denotes atoms and edges denotes the bonds between atoms. A topological index is a real number related to a ... See full document

... Ashrafi, Došlić and Hamzeh in [1] determined the extremal graphs with respect to the Zagreb coindices. They wrote that it would be interesting to extend results presented in [1] to some other classes of graphs of ... See full document

... In this paper, we introduce the general fifth M-Zagreb indices and fifth M 3 -Zagreb index and their polynomials of a molecular graph.. Also we compute.[r] ... See full document

... first Zagreb index, multiplicative reduced modified first Zagreb index and multiplicative reduced F-index of a ...reduced Zagreb indices and multiplicative reduced indices for titania ... See full document