Results 11 to 20 of about 572,605 (265)
A Novel/Old Modification of the First Zagreb Index [PDF]
Molecular Informatics, 2018 AbstractIn the seminal paper [I. Gutman, N. Trinajstić, Chem. Phys. Lett. 1972, 17, 535–538], it was shown that total electron energy ( ) of any alternant hydrocarbon depends on the sum of the squares of the degrees of the corresponding molecular graph. Nowadays, this sum is known as the first Zagreb index.
Akbar Ali, Nenad Trinajstić
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New lower bounds for the first variable Zagreb index [PDF]
Discrete Applied Mathematics, 2022 17 ...
Alvaro Martínez-Pérez +1 more
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First General Zagreb Co‐Index of Graphs under Operations [PDF]
Journal of Mathematics, 2022 Topological indices are graph‐theoretic parameters which are widely used in the subject of chemistry and computer science to predict the various chemical and structural properties of the graphs respectively. Let G be a graph; then, by performing subdivision‐related operations S, Q, R, and T on G, the four new graphs S(G) (subdivision graph), Q(G) (edge‐
Muhammad Javaid +4 more
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Some properties of the neighborhood first Zagreb index [PDF]
Discrete Mathematics Letters, 2019 Summary: The neighborhood first Zagreb index \((N M_1)\) has been recently introduced for characterizing the topological structure of molecular graphs. In this study, we present some sharp bounds on the index \(NM_1\) and establish its relations with the first and second Zagreb indices in case of some special graphs.
Tamas Reti +3 more
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Bounding the First Zagreb Index of a Tree in Term of Its Repetition Number [PDF]
Match-communications in Mathematical and in Computer Chemistry, 2023 The first Zagreb index M1 of a graph G is equal to the sum of squares of the vertex degrees of G. The repetition number of a graph is the maximum multiplicity in the list of its vertex degrees. In this note, we bound the first Zagreb index of a tree from
Hongying Lin, Jianguo Qian
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Mathematics, 2023 Degree sequence measurements on graphs have attracted a lot of research interest in recent decades. Multiplying the degrees of adjacent vertices in graph Ω provides the multiplicative first Zagreb index of a graph.
Sakander Hayat, Farwa Asmat
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First General Zagreb Index of Generalized F-sum Graphs [PDF]
Discrete Dynamics in Nature and Society, 2020 The first general Zagreb (FGZ) index (also known as the general zeroth-order Randić index) of a graph G can be defined as M
H. M. Awais, Muhammad Javaid, Akbar Ali
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On the first general Zagreb eccentricity index
AIMS Mathematics, 2021 In a graph <i>G</i>, the distance between two vertices is the length of the shortest path between them. The maximum distance between a vertex to any other vertex is considered as the eccentricity of the vertex. In this paper, we introduce the first general Zagreb eccentricity index and found upper and lower bounds on this index in terms of ...
Muhammad Kamran Jamil +3 more
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Probabilistic analysis of the First Zagreb index [PDF]
Transactions on Combinatorics, 2013 In this paper we study the Zagreb index in bucket recursive trees containing buckets with variable capacities. This model was introduced by Kazemi in 2012.
Ramin Kazemi
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Bounds on the first leap Zagreb index of trees
Karpatsʹkì Matematičnì Publìkacìï, 2021 The first leap Zagreb index $LM1(G)$ of a graph $G$ is the sum of the squares of its second vertex degrees, that is, $LM_1(G)=\sum_{v\in V(G)}d_2(v/G)^2$, where $d_2(v/G)$ is the number of second neighbors of $v$ in $G$.
N. Dehgardi, H. Aram
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