Results 1 to 10 of about 8,559 (159)
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. +5 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
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Probabilistic analysis of the First Zagreb index [PDF]
Transactions on Combinatorics, 2013 In this paper we study the Zagreb index in bucket recursive trees containing buckets with variable capacities. This model was introduced by Kazemi in 2012.
Ramin Kazemi
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Some new bounds on the first Zagreb index [PDF]
Electronic Journal of Mathematics, 2021 Stefan D. Stankov +4 more
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On the Reformulated Multiplicative First Zagreb Index of Trees and Unicyclic Graphs [PDF]
Discrete Dynamics in Nature and Society, 2021 The multiplicative first Zagreb index of a graph H is defined as the product of the squares of the degrees of vertices of H. The line graph of a graph H is denoted by LH and is defined as the graph whose vertex set is the edge set of H where two vertices
Akbar Ali +4 more
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On the vv-degree based first Zagreb index of graphs
AKCE International Journal of Graphs and CombinatoricsA topological index is a graph invariant applicable in chemistry. The first Zagreb index is a topological index based on the vertex degrees of molecular graphs. For any graph G, the first Zagreb index [Formula: see text] is equal to the sum of squares of
L. Anusha +2 more
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First Entire Zagreb Index of Fuzzy Graph and Its Application
Axioms, 2023 The first entire Zagreb index (FEZI) is a graph parameter that has proven to be essential in various real-life scenarios, such as networking businesses and traffic management on roads.
Umapada Jana, Ganesh Ghorai
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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 +2 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
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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
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