Results 1 to 10 of about 9,569,640 (309)
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
doaj +4 more sources
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
doaj +3 more sources
Beyond graph energy: norms of graphs and matrices [PDF]
Linear Algebra and its Applications, 2016 In 1978 Gutman introduced the energy of a graph as the sum of the absolute values of graph eigenvalues, and ever since then graph energy has been intensively studied.
Nikiforov, Vladimir
core +4 more sources
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.
Arizmendi, Gerardo, Arizmendi, Octavio
exaly +4 more sources
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
doaj +3 more sources
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
doaj +2 more sources
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
doaj +2 more sources
Generalized $ABC$ Energy of Weighted Graphs [PDF]
Computer Science Journal of Moldova, 2021 In this work, weighted generalized $ABC$ matrix and weighted generalized $ABC$ energy of graphs are considered. Some upper and lower bounds are given for generalized $ABC$ energy of weighted graphs with positive definite matrix edge weights.
N. Feyza Yalcin
doaj +3 more sources
Discrete Mathematics Letters, 2020 Summary: Let \(G\) be a graph of order \(n\) and size \(m\), and its eigenvalues \(\lambda_ i\), \(i= 1, \ldots, n\), be labeled so that \(\vert \lambda_1\vert \geq \vert\lambda_2\vert \geq \cdots \geq \vert\lambda_n\vert\). The energy \(E(G)\) of \(G\) is the sum of absolute values of its eigenvalues.
Ivan Gutman, Mohammad Reza Oboudi
doaj +2 more sources
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
doaj +1 more source