Results 41 to 50 of about 1,083,846 (122)

On Zagreb Eccentricity Indices [PDF]

open access: yes, 2011
Zagreb eccentricity indices were proposed analogously to Zagreb indices already known and used for almost forty years. For a connected graph, the first Zagreb eccentricity index is defined as the sum of the squares of the eccentricities of the vertices,
Zhou, Bo   +2 more
core   +1 more source

The vertex Zagreb indices of some graph operations [PDF]

open access: yes, 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, De, N.
core   +1 more source

Fuzzy Zagreb Indices and Some Bounds for Fuzzy Zagreb Energy [PDF]

open access: yes, 2021
Topological indices M1/M2 known as first/second Zagreb indices are defined as the sum of the sum/product of degrees of pairs of adjacent vertices of a simple graph.
Mahesh Kale, S. Minirani
core  

Extremal Properties of the Zagreb Eccentricity Indices [PDF]

open access: yes, 2012
We give sharp lower bounds for the Zagreb eccentricity indices of connected graphs with fixed numbers of vertices and edges, sharp lower and upper bounds for the Zagreb eccentricity indices of trees with fixed number of pendant vertices, sharp upper ...
Du, Zhibin, Zhou, Bo, Trinajstić, Nenad
core   +1 more source

THE REFORMULATED FIRST ZAGREB INDEX OF THE LINE GRAPHS OF THE SUBDIVISION GRAPH FOR CLASS OF GRAPHS

open access: yes, 2016
<p>The reformulated first Zagreb index is the edge version of first Zagreb index of chemical graph theory. The aim of this paper is to obtain an expression for the reformulated first Zagreb index of the some class of graphs such as Tadpole graph ...
Keerthi G. Mirajkar*, Bhagyashri R. Doddamani, Priyanka Y. B
core   +1 more source

General multiplicative Zagreb indices of graphs with given clique number [PDF]

open access: yes, 2019
We obtain lower and upper bounds on general multiplicative Zagreb indices for graphs of given clique number and order. Bounds on the basic multiplicative Zagreb indices and on the multiplicative sum Zagreb index follow from our results. We also determine
Selvaraj Balachandran   +3 more
core   +3 more sources

Reformulated Zagreb Index

open access: yes, 2020
The edge version of traditional first Zagreb index is known as first reformulated Zagreb index. In this paper, we analyze and compare various lower and upper bounds for the first reformulated Zagreb index and we propose new lower and upper bounds which ...
T Mansour   +3 more
core  

On Variable Zagreb Indices [PDF]

open access: yes, 2004
A novel variant of the Zagreb indices introduced in 1972, called the variable Zagreb indices, is presented. Their performance in the QSPR modeling of lower (C3–C8) alkane boiling points is compared with the original Zagreb indices and their modifications.
Ante Milicevic   +3 more
core  

On the first and second Zagreb indices of some products of signed graphs

open access: yes, 2023
Some of the most comprehensively studied degree-based topological indices are the Zagreb indices. In this article, the pair of Zagreb indices have been determined for five product graphs namely tensor product, Cartesian product, lexicographic product ...
Shivani Rai, Biswajit Deb
core   +1 more source

ZAGREB CONNECTION INDICES ON POLYOMINO CHAINS AND RANDOM POLYOMINO CHAINS [PDF]

open access: yes
In this manuscript, we delve into the exploration of the first and second Zagreb connection indices of both polyomino chains and random polyomino chains. Our methodology relies on the utilization of Markov chain theory. Within this framework, the article
Sayle, Sigarreta Ricardo   +1 more
core   +1 more source

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