Results 201 to 210 of about 73,529 (242)

FRACTAL VERSION OF ZAGREB ECCENTRICITY INDEX

Fractals, 2023
In this paper, we introduce the fractal version of Zagreb eccentricity index which is a singular integral of the eccentricity squared in terms of self-similar measure. Based on the geometric characteristics of the farthest point, we calculate the fractal version of Zagreb eccentricity index on the (3,1) flower fractal to be [Formula: see text] by ...
JIAJUN XU, YING LU, LIFENG XI
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Augmented Zagreb index

Journal of Mathematical Chemistry, 2010
Inspired by recent work on the atom-bond connectivity (ABC) index we proposed a new topological index, augmented Zagreb index (AZI). The tight upper and lower bounds of AZI for chemical trees are obtained. Moreover, it has been shown that among all trees the star has the minumum AZI value.
Furtula, Boris, Graovac, Ante, Vukičević, Damir   +2 more
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On reduced second Zagreb index

Journal of Combinatorial Optimization, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lkhagva Buyantogtokh, Batmend Horoldagva, Kinkar Chandra Das   +2 more
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THE THIRD VERSION OF ZAGREB INDEX

Discrete Mathematics, Algorithms and Applications, 2013
Gutman et al. defined the Zagreb indices for the first time more than 40 years ago and up to now many versions of these topological indices were defined. In this paper we define a type of Zagreb indices based on degrees of neighbors of vertices in a given graph and then we compute them for several classes of composite graphs.
Ghorbani, Modjtaba, Hosseinzadeh, Mohammad A.   +1 more
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Bounds for fuzzy Zagreb Estrada index

2021
Summary: Let \(G(V,\sigma,\mu)\) be a fuzzy graph of order \(n\), where \(\sigma (u)\) is the vertex membership, \(\mu (u,v)\) is membership value of an edge and \(\mu (u)\) is the strength of vertex. The first fuzzy Zagreb index is the sum \(\sigma (u_i) \mu (u_i)+ \sigma (u_j) \mu (u_j)\) where \(u_i u_j \in \mu\) and the corresponding fuzzy Zagreb ...
Kale, Mahesh, Nair, Minirani
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Relation Between Wiener Index and First Zagreb Index with First Zagreb Coindex

International Journal of Mathematics and Computer Science
In this paper, we establish extremal results and bounds of Wiener index with respect to the sum of the first Zagreb index and the first Zagreb coindex of a graph given its minimum and maximum degrees together with its diameter. We have shown that nontrivial complete graphs correspond to extremal graphs.
Mohammad, Nurijam Hanna M., Patangan, Rachel M., Militante, Mae P., Abdulwahid, Faricia M., Fabillar, Edwin B.   +4 more
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CMMSE-on the first general Zagreb index

Journal of Mathematical Chemistry, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José M. Rodríguez, José L. Sánchez, José M. Sigarreta   +2 more
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On the second order first Zagreb index

2017
Summary: Inspired by the chemical applications of higher-order connectivity index (or Randić index), we consider here the higher-order first Zagreb index of a molecular graph. In this paper, we study the linear regression analysis of the second order first Zagreb index with the entropy and acentric factor of an octane isomers.
Basavanagoud, B, Patil, S., Deng, H. Y.
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