Results 151 to 160 of about 3,144 (190)

On reformulated Zagreb indices

Molecular Diversity, 2004
Zagreb indices were reformulated in terms of the edge-degrees instead of the vertex-degrees as the original Zagreb indices. Three types of Zagreb indices were considered: original, modified and variable Zagreb indices. It is found that the optimum exponent of the variable reformulated Zagreb M2 index (v = -1/2) is identical with the exponent of the ...
Milicevic, Ante, Nikolić, Sonja, Trinajstić, Nenad   +2 more
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On Zagreb indices, Zagreb polynomials of some nanostar dendrimers

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammad Kamran Siddiqui, Muhammad Imran, Ali Ahmad   +2 more
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New formulae for Zagreb indices

AIP Conference Proceedings, 2017
In this paper, we study with some graph descriptors also called topological indices. These descriptors are useful in determination of some properties of chemical structures and preferred to some earlier descriptors as they are more practical. Especially the first and second Zagreb indices together with the first and second multiplicative Zagreb indices
Yurttaş, Aysun, Cangül, İSMAİL NACİ, Çevik, Ahmet Sinan, Togan, Müge   +3 more
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ZAGREB ECCENTRICITY INDICES OF VICSEK NETWORKS

Fractals, 2022
For a connected graph, the first Zagreb eccentricity index is defined as the sum of squares of the eccentricities of the vertices, and the second Zagreb eccentricity index is defined as the sum of the products of the eccentricities of pairs of adjacent vertices.
QINGCHENG ZENG, LIFENG XI
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ZAGREB POLYNOMIALS AND MULTIPLE ZAGREB INDICES FOR COMB GRAPH

JP Journal of Algebra, Number Theory and Applications, 2018
Summary: A topological index of graph \(G\) is a numerical parameter related to \(G\), which characterizes its topology and is preserved under isomorphism of graphs. Properties of the chemical compounds and topological indices are correlated. In this report, we compute closed forms of first Zagreb, second Zagreb, first multiple Zagreb index and second ...
Kang, Shin Min, Rauf, Abdul, Khalid, Waseem, Nazeer, Waqas   +3 more
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Directed Zagreb Indices

2020
Zagreb indices for undirected graphs were introduced nearly 50 years ago. Their original development was related to uses in chemistry, but over time mathematicians have also found them to be an interesting topic of study. We define and introduce Zagreb indices for directed graphs, give results that parallel many of the conjectures and theorems that ...
Barbara M. Anthony, Alison M. Marr
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Zagreb indices of graphs

Frontiers of Mathematics in China, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Kinkar Ch., Xu, Kexiang, Nam, Junki
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On discriminativity of Zagreb indices

Iranian journal of mathemathical chemistry, 2012
Zagreb indices belong to better known and better researched topological indices. We investigate here their ability to discriminate among benzenoid graphs and arrive at some quite unexpected conclusions. Along the way we establish tight (and sometimes sharp) lower and upper bounds on various classes of benzenoids.
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THE ZAGREB INDICES OF RANDOM GRAPHS

Probability in the Engineering and Informational Sciences, 2013
Several limit laws for the Zagreb indices of the classical Erdös–Rényi random graphs are investigated in this paper. We have obtained the necessary and sufficient condition for the asymptotic normality of the two Zagreb indices (suitably normalized), as well as the explicit values for the means and variances of both the indices.
Feng, Qunqiang, Hu, Zhishui, Su, Chun
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Zagreb Indices

2011
A review of developments, optimisations and applications of Zagreb Indices is given.
Lučić, Bono, Trinajstić, Nenad
openaire   +1 more source