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Modified Zagreb index and total domination in trees
Discrete Mathematics, Algorithms and ApplicationsLet [Formula: see text] be a simple connected graph. The modified first Zagreb index is denoted by [Formula: see text] is defined as [Formula: see text]. We present a lower bound for [Formula: see text] in terms of order and total domination number for trees and characterize the extremal trees attaining the bound.
H. Naresh Kumar +3 more
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Bounds on first reformulated Zagreb index of graph
2017Summary: The first reformulated Zagreb index \(EM_1(G)\) of a simple graph \(G\) is defined as the sum of the terms \((d_u+d_v-2)^2\) over all edges \(uv\) of \(G\). In this paper, the various upper and lower bounds for the first reformulated Zagreb index of a connected graph interms of other topological indices are obtained.
Pattabiraman, K, Santhakumar, A
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Complete Characterization of Chemical Trees with Maximal Augmented Zagreb Index
Journal of Applied Mathematics and Computation, 2023Y. Shao, Wei Gao
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The balanced double star has maximum exponential second Zagreb index
Journal of combinatorial optimization, 2021Roberto Cruz, Juan Monsalve, J. Rada
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Unicyclic and bicyclic graphs with maximum exponential second Zagreb index
Discrete Applied Mathematics, 2022M. Eliasi
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The first Zagreb index, reciprocal degree distance and Hamiltonian-connectedness of graphs
Information Processing Letters, 2022Mingqiang An
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Hyper Zagreb Index and Reduced Zagreb Index of Four New Operations of Graphs
Journal of Computer and Mathematical Sciences, 2018J. Buragohain, A. Mahanta, A. Bharali
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Multi-attribute decision-making using q-rung orthopair fuzzy Zagreb index
Artificial Intelligence ReviewYongsheng Rao +3 more
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Open problem on the maximum exponential augmented Zagreb index of unicyclic graphs
Computational and Applied MathematicsK. Das, Sourav Mondal, Da-yeon Huh
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New lower bounds for the first variable Zagreb index
Discrete Applied Mathematics, 2022Alvaro Martinez-Perez +1 more
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