Results 21 to 30 of about 890,281 (238)

Construction of L-equienergetic graphs using some graph operations

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
For a graph G with n vertices and m edges, the eigenvalues of its adjacency matrix A(G) are known as eigenvalues of G. The sum of absolute values of eigenvalues of G is called the energy of G.
S. K. Vaidya, Kalpesh M. Popat
doaj   +1 more source

On Laplacian resolvent energy of graphs [PDF]

open access: yesTransactions 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
doaj   +1 more source

Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings [PDF]

open access: yes, 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
core   +3 more sources

Remarks on the energy of regular graphs

open access: yes, 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.
core   +1 more source

Energy-based Analysis of Biochemical Cycles using Bond Graphs [PDF]

open access: yes, 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.
core   +1 more source

On Relationships of Eigenvalue–Based Topological Molecular Descriptors

open access: yesActa 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
doaj   +1 more source

Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs

open access: yesJournal 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
doaj   +1 more source

Time-Dependent Lagrangian Energy Systems on Supermanifolds with Graph Bundles

open access: yesJournal of Mathematics, 2021
The aim of this article is firstly to improve time-dependent Lagrangian energy equations using the super jet bundles on supermanifolds. Later, we adapted this study to the graph bundle.
Cansel Aycan, Simge Şimşek
doaj   +1 more source

On the spectrum, energy and Laplacian energy of graphs with self-loops

open access: yesHeliyon, 2023
The total energy of a conjugated molecule's π-electrons is a quantum-theoretical feature that has been known since the 1930s. It is determined using the Huckel tight-binding molecular orbital (HMO) method.
Ugasini Preetha P   +2 more
doaj   +1 more source

A Graph Grammar for Modelling RNA Folding

open access: yes, 2016
We propose a new approach for modelling the process of RNA folding as a graph transformation guided by the global value of free energy. Since the folding process evolves towards a configuration in which the free energy is minimal, the global behaviour ...
Mamuye, Adane Letta   +2 more
core   +2 more sources

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