Results 51 to 60 of about 8,535,805 (358)
On Relationships of Eigenvalue–Based Topological Molecular Descriptors
Acta Chimica Slovenica, 2020 Three eigenvalue-based topological molecular descriptors are compared using several datasets of alkanes. Two of them are well-known and frequently employed in various QSPR/QSAR investigations, and third-one is a newly derived whose predictive potential ...
Izudin Redžepović, Boris Furtula
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Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings [PDF]
, 2019 We investigate one-loop four-point scattering of non-abelian gauge bosons in heterotic string theory and identify new connections with the corresponding open-string amplitude.
Gerken, Jan E. +2 more
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Defect graph neural networks for materials discovery in high-temperature clean-energy applications
Nature Computational Science, 2023 We present a graph neural network approach that fully automates the prediction of defect formation enthalpies for any crystallographic site from the ideal crystal structure, without the need to create defected atomic structure models as input.
M. Witman +4 more
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On Laplacian resolvent energy of graphs [PDF]
Transactions on Combinatorics, 2023 Let $G$ be a simple connected graph of order $n$ and size $m$. The matrix $L(G)=D(G)-A(G)$ is the Laplacian matrix of $G$, where $D(G)$ and $A(G)$ are the degree diagonal matrix and the adjacency matrix, respectively. For the graph $G$, let $d_{1}\geq d_{
Sandeep Bhatnagar +2 more
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Remarks on the energy of regular graphs
, 2016 The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. This note is about the energy of regular graphs. It is shown that graphs that are close to regular can be made regular with a negligible change of the ...
Nikiforov, V.
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Impact of graph energy on a measurement of resilience for tipping points in complex systems
Systems EngineeringSocieties depend on various complex and highly interconnected systems, leading to increasing interest in methods for managing the resilience of these complex systems and the risks associated with their disruption or failure.
Christine M. Edwards +2 more
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Mathematical Notes, 2006 In the present paper we introduce Mobius energy for the embedded graphs and formulate its main properties. This energy is invariant under the action of the group generated by all inversions in three-dimensional real space. We study critical configurations for the angles at vertices of degree less than five, and discuss the techniques of construction of
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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.
Arizmendi, Gerardo, Arizmendi, Octavio
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Energy-based Analysis of Biochemical Cycles using Bond Graphs [PDF]
, 2014 Thermodynamic aspects of chemical reactions have a long history in the Physical Chemistry literature. In particular, biochemical cycles - the building-blocks of biochemical systems - require a source of energy to function.
Crampin, Edmund J., Gawthrop, Peter J.
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Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs
Journal of Mathematics, 2022 Energy of a graph is defined as the sum of the absolute values of the eigenvalues of the adjacency matrix associated with the graph. In this research work, we find color energy, distance energy, Laplacian energy, and Seidel energy for the Dutch windmill ...
Jing Wu +3 more
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