Results 11 to 20 of about 236,543 (259)
Bounds on graph energy and Randic energy [PDF]
Discrete Mathematics Letters, 2021 Summary: In the present paper, new lower and upper bounds on energy and Randić energy of non-singular (bipartite) graphs are reported. Additionally, it is shown that the obtained lower bounds are stronger than two previously known lower bounds in the literature.
S. Burcu Bozkurt Altındag
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Smoothness of Graph Energy in Chemical Graphs
Mathematics, 2023 The energy of a graph G as a chemical concept leading to HMO theory was introduced by Hückel in 1931 and developed into a mathematical interpretation many years later when Gutman in 1978 gave his famous definition of the graph energy as the sum of the ...
Katja Zemljič, Petra Žigert Pleteršek
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Discrete Applied Mathematics, 2023 We study the graph energy from a cooperative game viewpoint. We introduce \emph{the graph energy game} and show various properties. In particular, we see that it is a superadditive game and that the energy of a vertex, as defined in Arizmendi and Juarez-Romero (2018), belongs to the core of the game.
Gerardo Arizmendi, Octavio Arizmendi
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Protein-Protein Interactions Prediction Based on Graph Energy and Protein Sequence Information [PDF]
Molecules, 2020 Identification of protein-protein interactions (PPIs) plays an essential role in the understanding of protein functions and cellular biological activities. However, the traditional experiment-based methods are time-consuming and laborious.
Da Xu +4 more
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The matching energy of a graph
Discrete Applied Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivan Gutman, Stephan Wagner
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A comparative study of topological entropy characterization and graph energy prediction for Marta variants of covalent organic frameworks [PDF]
Frontiers in ChemistryCovalent organic frameworks are a novel class of porous polymers, notable for their crystalline structure, intricate frameworks, defined pore sizes, and capacity for structural design, synthetic control, and functional customization.
Zahid Raza +3 more
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Novel Roman domination-based graph energies for QSPR analysis of neuroprotective herbal compounds in Alzheimer’s disease treatment [PDF]
Frontiers in ChemistryAlzheimer’s disease (AD) is a progressive neurodegenerative disorder for which U.S. Food and Drug Administration (FDA)-approved drugs provide only temporary symptomatic relief and often cause adverse effects.
A. Salini Jancy Rani, B. J. Balamurugan
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Bounds for the Energy of Graphs [PDF]
Mathematics, 2021 Let G be a graph on n vertices and m edges, with maximum degree Δ(G) and minimum degree δ(G). Let A be the adjacency matrix of G, and let λ1≥λ2≥…≥λn be the eigenvalues of G. The energy of G, denoted by E(G), is defined as the sum of the absolute values of the eigenvalues of G, that is E(G)=|λ1|+…+|λn|.
Slobodan Filipovski, Robert Jajcay
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Energy of strong reciprocal graphs [PDF]
Transactions on Combinatorics, 2023 The energy of a graph $G$, denoted by $\mathcal{E}(G)$, is defined as the sum of absolute values of all eigenvalues of $G$. A graph $G$ is called reciprocal if $ \frac{1}{\lambda} $ is an eigenvalue of $G$ whenever $\lambda$ is an eigenvalue of $G ...
Maryam Ghahremani +3 more
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Total π-electron energy and Laplacian energy: How far the analogy goes? [PDF]
Journal of the Serbian Chemical Society, 2007 The Laplacian energy LE is a newly introduced molecular-graph-based analog of the total π-electron energy E. It is shown that LE and E have a similar structure-dependency only when molecules of different sizes are compared, when a good linear correlation
Radenković Slavko, Gutman Ivan
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