Results 11 to 20 of about 25,433 (194)

Beyond the Zagreb indices [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
The two Zagreb indices and are vertex-degree-based graph invariants that have been introduced in the 1970s and extensively studied ever since. In the last few years, a variety of modifications of and were put forward. The present survey of these modified Zagreb indices outlines their main mathematical properties, and provides an exhaustive bibliography.
Gutman, Ivan   +2 more
openaire   +5 more sources

Modified Zagreb connection indices of the T-sum graphs

open access: yesMain 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   +2 more sources

Computing Zagreb Indices and Zagreb Polynomials for Symmetrical Nanotubes [PDF]

open access: yesSymmetry, 2018
Topological indices are numbers related to sub-atomic graphs to allow quantitative structure-movement/property/danger connections. These topological indices correspond to some specific physico-concoction properties such as breaking point, security, strain vitality of chemical compounds.
Zehui Shao   +2 more
openaire   +3 more sources

The vertex Zagreb indices of some graph operations

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2016
Recently, Tavakoli et al. introduced a new version of Zagreb indices, named as vertex Zagreb indices. In this paper explicit expressions of different graphs operations of vertex Zagreb indices are presented and also as an application, explicit formulas ...
N. De
doaj   +1 more source

On Multiplicative Topological Invariants of Magnesium Iodide Structure

open access: yesJournal of Mathematics, 2022
In recent times, the applications of graph theory in molecular and chemical structure research have far exceeded human expectations and have grown exponentially.
Zhiqiang Zhang   +5 more
doaj   +1 more source

New bounds on Zagreb indices and the Zagreb Co-indices

open access: yesBoletim da Sociedade Paranaense de Matemática, 2011
In this short note, we studied the first, second Zagreb indices and the Zagreb Co-indices. Also, established the connections of bounds to the above sighted indices.
P. S. Ranjini   +3 more
openaire   +5 more sources

On multiple Zagreb index of TiO2 nanotubes

open access: yesActa Chimica Slovenica, 2015
The First and Second Zagreb indices were first introduced by I. Gutman and N. Trinajstic in 1972. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical instances, and in elsewhere.
Mehar Ali Malik, Muhammad Imran
doaj   +1 more source

The Zagreb indices of graphs with a given clique number [PDF]

open access: yes, 2011
For a (molecular) graph, the first Zagreb index M1 is equal to the sum of squares of the degrees of vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent vertices.
Claessen, Femke MAP   +5 more
core   +2 more sources

Computing Topological Indices and Polynomials for Line Graphs

open access: yesMathematics, 2018
A topological index is a number related to the atomic index that allows quantitative structure–action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point ...
Shahid Imran   +3 more
doaj   +1 more source

Study of Neighborhood Degree-Based Topological Indices via Direct and NM-Polynomial of Starphene Graph

open access: yesJournal of Function Spaces, 2022
Our objective is to compute the neighborhood degree-based topological indices via NM-polynomial for starphene. In the neighborhood degree-based topological indices, we compute the third version of the Zagreb index; neighborhood second Zagreb index ...
Deeba Afzal   +5 more
doaj   +1 more source

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