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On hyper-Zagreb index conditions for hamiltonicity of graphs
Czechoslovak Mathematical Journal, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu, Yong, Zhou, Qiannan
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On the exponential augmented Zagreb index of graphs
Journal of Applied Mathematics and ComputingKinkar Chandra Das +2 more
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Extremal augmented Zagreb index of trees with given numbers of vertices and leaves
Discrete Mathematics, 2022Chaohui Chen, Muhuo Liu, Xiaofeng Gu
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On Zagreb index of thorn graph
AIP Conference Proceedings, 2023S. Rajeswari, N. Parvathi
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On reduced second Zagreb index
Journal of Combinatorial Optimization, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lkhagva Buyantogtokh +2 more
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FRACTAL VERSION OF ZAGREB ECCENTRICITY INDEX
Fractals, 2023In this paper, we introduce the fractal version of Zagreb eccentricity index which is a singular integral of the eccentricity squared in terms of self-similar measure. Based on the geometric characteristics of the farthest point, we calculate the fractal version of Zagreb eccentricity index on the (3,1) flower fractal to be [Formula: see text] by ...
JIAJUN XU, YING LU, LIFENG XI
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THE THIRD VERSION OF ZAGREB INDEX
Discrete Mathematics, Algorithms and Applications, 2013Gutman et al. defined the Zagreb indices for the first time more than 40 years ago and up to now many versions of these topological indices were defined. In this paper we define a type of Zagreb indices based on degrees of neighbors of vertices in a given graph and then we compute them for several classes of composite graphs.
Modjtaba Ghorbani +1 more
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First Zagreb index on a fuzzy graph and its application
Journal of Intelligent & Fuzzy Systems, 2021The Zagreb index (ZI) is a very important graph parameter and it is extensively used in molecular chemistry, spectral graph theory, network theory and several fields of mathematics and chemistry. In this article, the first ZI is studied for several fuzzy
S. R. Islam, M. Pal
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On Zagreb index, signless Laplacian eigenvalues and signless Laplacian energy of a graph
Computational and Applied Mathematics, 2022Let G be a simple graph with order n and size m . The quantity $$M_1(G)=\sum _{i=1}^{n}d^2_{v_i}$$ M 1 ( G ) = ∑ i = 1 n d v i 2 is called the first Zagreb index of G , where $$d_{v_i}$$ d v i is the degree of vertex $$v_i$$ v i , for all $$i=1,2,\dots ...
S. Pirzada, Saleem Khan
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Laplacian energy and first Zagreb index of Laplacian integral graphs
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2022The set Si,n = {0, 1, 2, …, i − 1, i + 1, …, n − 1, n}, 1 ⩽ i ⩽ n, is called Laplacian realizable if there exists a simple connected undirected graph whose Laplacian spectrum is Si,n. The existence of such graphs was established by S. Fallat et all.
A. Hameed, Z. Khan, M. Tyaglov
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