Results 31 to 40 of about 2,064,253 (190)

Monophonic Distance Laplacian Energy of Transformation Graphs Sn^++-,Sn^{+-+},Sn^{+++}

open access: yesRatio Mathematica, 2023
Let $G$ be a simple connected graph of order $n$, $v_{i}$ its vertex. Let $\delta^{L}_{1}, \delta^{L}_{2}, \ldots, \delta^{L}_{n}$ be the eigenvalues of the distance Laplacian matrix $D^{L}$ of $G$. The distance Laplacian energy is denoted by $LE_{D}(G)$.
Diana R, Binu Selin T
doaj   +1 more source

Tarantula graphs are determined by their Laplacian spectrum

open access: yesElectronic Journal of Graph Theory and Applications, 2021
A graph G is said to be determined by its Laplacian spectrum (DLS) if every graph with the same Laplacian spectrum is isomorphic to G. A graph which is a collection of hexagons (lengths of these cycles can be different) all sharing precisely one vertex ...
Reza Sharafdini, Ali Zeydi Abdian
doaj   +1 more source

Laplacian spectrum on a nilmanifold, truncations and effective theories [PDF]

open access: yesJournal of High Energy Physics, 2018
A bstractMotivated by low energy effective theories arising from compactification on curved manifolds, we determine the complete spectrum of the Laplacian operator on the three-dimensional Heisenberg nilmanifold.
D. Andriot, D. Tsimpis
semanticscholar   +1 more source

Graph Laplacian Spectrum and Primary Frequency Regulation [PDF]

open access: yesIEEE Conference on Decision and Control, 2018
We present a framework based on spectral graph theory that captures the interplay among network topology, system inertia, and generator and load damping in determining the overall grid behavior and performance.
Linqi Guo, Changhong Zhao, S. Low
semanticscholar   +1 more source

On the construction of L-equienergetic graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2015
For a graph G with n vertices and m edges, and having Laplacian spectrum μ1,μ2,…,μn and signless Laplacian spectrum μ1+,μ2+,…,μn+, the Laplacian energy and signless Laplacian energy of G are respectively, defined as LE(G)=∑i=1n|μi−2mn| and LE+(G)=∑i=1n ...
S. Pirzada, Hilal A. Ganie
doaj   +1 more source

On the Spectra of Commuting and Non Commuting Graph on Dihedral Group

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2017
Study about spectra of graph has became interesting work as well as study about commuting and non commuting graph of a group or a ring. But the study about spectra of commuting and non commuting graph of dihedral group has not been done yet.
Abdussakir Abdussakir   +2 more
doaj   +1 more source

Calculating the normalized Laplacian spectrum and the number of spanning trees of linear pentagonal chains

open access: yesJournal of Computational and Applied Mathematics, 2018
Let W n be a linear pentagonal chain with 2 n pentagons. In this article, according to the decomposition theorem for the normalized Laplacian polynomial of W n , we obtain that the normalized Laplacian spectrum of W n consists of the eigenvalues of two ...
Chunling He   +3 more
semanticscholar   +1 more source

On the spectrum of Robin Laplacian in a planar waveguide [PDF]

open access: yes, 2019
summary:We consider the Laplace operator in a planar waveguide, i.e. an infinite two-dimensional straight strip of constant width, with Robin boundary conditions.
Rossini, Alex Ferreira
core   +1 more source

Signless Laplacian determinations of some graphs with independent edges

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
Let $G$ be a simple undirected graph. Then the signless Laplacian matrix of $G$ is defined as $D_G + A_G$ in which $D_G$ and $A_G$ denote the degree matrix and the adjacency matrix of $G$, respectively.
R. Sharafdini, A.Z. Abdian
doaj   +1 more source

Some Chemistry Indices of Clique-Inserted Graph of a Strongly Regular Graph

open access: yesComplexity, 2021
In this paper, we give the relation between the spectrum of strongly regular graph and its clique-inserted graph. The Laplacian spectrum and the signless Laplacian spectrum of clique-inserted graph of strongly regular graph are calculated.
Chun-Li Kan   +3 more
doaj   +1 more source

Home - About - Disclaimer - Privacy