Results 1 to 10 of about 350 (92)

Some new bounds on the first Zagreb index [PDF]

Electronic Journal of Mathematics, 2021
Stefan D. Stankov, Marjan M. Matejic, Igor Z. Milovanovic, Emina I. Milovanovic, Serife Burcu Bozkurt Altındag   +4 more
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On the first Zagreb index and multiplicative Zagreb coindices of graphs [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
For a (molecular) graph G with vertex set V (G) and edge set E(G), the first Zagreb index of G is defined as , where dG(vi) is the degree of vertex vi in G. Recently Xu et al. introduced two graphical invariants and named as first multiplicative Zagreb
Das Kinkar Ch., Akgunes Nihat, Togan Muge, Yurttas Aysun, Cangul I. Naci, Cevik A. Sinan   +5 more
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Some Upper Bounds on the First General Zagreb Index [PDF]

Journal of Mathematics, 2022
The first general Zagreb index MγG or zeroth-order general Randić index of a graph G is defined as MγG=∑v∈Vdvγ where γ is any nonzero real number, dv is the degree of the vertex v and γ=2 gives the classical first Zagreb index.
Muhammad Kamran Jamil, Aisha Javed, Ebenezer Bonyah, Iqra Zaman   +3 more
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The Bounds for the First General Zagreb Index of a Graph

Universal Journal of Mathematics and Applications, 2021
The first general Zagreb index of a graph $G$ is defined as the sum of the $\alpha$th powers of the vertex degrees of $G$, where $\alpha$ is a real number such that $\alpha \neq 0$ and $\alpha \neq 1$.
Rao Li
doaj   +3 more sources

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 MγG=∑uv∈EGdGγ−1u+dGγ−1v, where γ is a real number.
H. M. Awais, Muhammad Javaid, Akbar Ali
doaj   +2 more sources

Reformulated First Zagreb Index of Some Graph Operations [PDF]

Mathematics, 2015
The reformulated Zagreb indices of a graph are obtained from the classical Zagreb indices by replacing vertex degrees with edge degrees, where the degree of an edge is taken as the sum of degrees of the end vertices of the edge minus 2. In this paper, we
Nilanjan De, Sk. Md. Abu Nayeem, Anita Pal   +2 more
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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
doaj   +1 more source

Zagreb indices of some chemical structures using new products of graphs [PDF]

Journal of Hyperstructures, 2023
Zagreb indices are one of the most extensively studied degree-based structural descriptors for analyzing various physicochemical properties of chemical compounds.
Liju Alex, Indulal Gopal
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Study of Neighborhood Degree-Based Topological Indices via Direct and NM-Polynomial of Starphene Graph

Journal 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, Saira Hameed, Usman Ashraf, Arif Mehmood, Faryal Chaudhry, Dhan Kumari Thapa   +5 more
doaj   +1 more source

Topological Properties of Degree-Based Invariants via M-Polynomial Approach

Journal of Mathematics, 2022
Chemical graph theory provides a link between molecular properties and a molecular graph. The M-polynomial is emerging as an efficient tool to recover the degree-based topological indices in chemical graph theory.
Samirah Alsulami, Sabir Hussain, Farkhanda Afzal, Mohammad Reza Farahani, Deeba Afzal   +4 more
doaj   +1 more source