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Spectrum of the A_p-Laplacian Operator
Boletim da Sociedade Paranaense de Matemática, 2009 يتناول هذا العمل مشكلة القيمة الذاتية للحدود غير الخطية:\begin{equation *}( V.P_{ A,\rho,I})\ left \{\begin{aligned }& A_p u =\ lambda \rho(x )|u|^{ p -2}u in I =]a; b [;\\& u(a )= u(b )= 0;\end{aligned}\ right.\end{equation*}حيث يُطلق على A_p - Laplacian operator ويتم تعريفه بواسطة A_pu =(\Gamma(x )|u '|^{ p -2}u ')', p > 1, \gamma is a real parameter,
Aomar Anane +2 more
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Spectra of the extended neighborhood corona and extended corona of two graphs
Electronic Journal of Graph Theory and Applications, 2016 In this paper we define extended corona and extended neighborhoodcorona of two graphs $G_{1}$ and $G_{2}$, which are denoted by$G_{1}\bullet G_{2}$ and $G_{1}\ast G_{2}$ respectively.
Chandrashekar Adiga +2 more
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The signless Laplacian matrix of hypergraphs
Special Matrices, 2022 In this article, we define signless Laplacian matrix of a hypergraph and obtain structural properties from its eigenvalues. We generalize several known results for graphs, relating the spectrum of this matrix to structural parameters of the hypergraph ...
Cardoso Kauê, Trevisan Vilmar
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Considering spatiotemporal evolutionary information in dynamic multi‐objective optimisation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Preserving population diversity and providing knowledge, which are two core tasks in the dynamic multi‐objective optimisation (DMO), are challenging since the sampling space is time‐ and space‐varying. Therefore, the spatiotemporal property of evolutionary information needs to be considered in the DMO.
Qinqin Fan +3 more
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Magnetic Dirichlet Laplacian in curved waveguides [PDF]
Opuscula MathematicaFor a two-dimensional curved waveguide, it is well known that the spectrum of the Dirichlet Laplacian is unstable with respect to waveguide deformations. This means that if the waveguide is a straight strip then the spectrum of the Dirichlet Laplacian is
Diana Barseghyan +3 more
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Tarantula graphs are determined by their Laplacian spectrum
Electronic 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
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Monophonic Distance Laplacian Energy of Transformation Graphs Sn^++-,Sn^{+-+},Sn^{+++}
Ratio 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
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Laplacian Spectrum of Weakly Quasi-threshold Graphs [PDF]
Graphs and Combinatorics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bapat, R. B., Lal, A. K., Pati, Sukanta
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On the construction of L-equienergetic graphs
AKCE 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
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On the Spectra of Commuting and Non Commuting Graph on Dihedral Group
Cauchy: 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
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