Results 31 to 40 of about 48,454 (295)
On graphs with distance Laplacian eigenvalues of multiplicity n−4
AKCE International Journal of Graphs and Combinatorics, 2023 Let G be a connected simple graph with n vertices. The distance Laplacian matrix [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the diagonal matrix of vertex transmissions and [Formula: see text] is the distance ...
Saleem Khan, S. Pirzada, A. Somasundaram
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On Seidel Laplacian matrix and energy of graphs
Acta Universitatis Sapientiae: Informatica, 2022 In this work, the Seidel Laplacian spectrum of graphs are determined. Then new bounds are presented for the Seidel Laplacian energy of regular graphs and graphs by using their Seidel Laplacian spectrum and other techniques.
Yalçin N. Feyza
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Journal of Nonlinear Mathematical Physics, 2005 We consider some lattices and look at discrete Laplacians on these lattices. In particular we look at solutions of the equation $\triangle(1) = \triangle(2)Z$ where $\triangle(1)$ and $\triangle(2)$ are two such laplacians on the same lattice. We discuss solutions of this equation in some special cases.
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A class of digraphs which have completely real Laplacian spectra(一类具有全实Laplacian谱的有向图)
Zhejiang Daxue xuebao. Lixue ban, 2011 分别研究了一类带有Hamiltonian路和带有Hamiltonian圈的有向图的基本有圈性(essential cyclicity)，给出了这种有向图的Laplacian谱，表明这些图具有全实的Laplacian谱.
SULi(苏莉), LIHong-hai(李红海)
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Applied Sciences, 2019 While progress has been made in design optimization of concentric ring electrodes maximizing the accuracy of the surface Laplacian estimation, it was based exclusively on the negligible dimensions model of the electrode.
Oleksandr Makeyev +5 more
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Abstract and Applied Analysis, 2003 We prove, for Orlicz spaces LA(ℝN) such that A satisfies the Δ2 condition, the nonresolvability of the A‐Laplacian equation ΔAu + h = 0 on ℝN, where ∫h ≠ 0, if ℝN is A‐parabolic. For a large class of Orlicz spaces including Lebesgue spaces Lp (p > 1), we also prove that the same equation, with any bounded measurable function h with compact support ...
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Mathematics Magazine, 1986 In various applied mathematics courses one appearance of the Laplacian operator is in the study of heat distributions.
Farris, Frank A., Brown, James Ward
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The second immanant of some combinatorial matrices [PDF]
Transactions on Combinatorics, 2015 Let $A = (a_{i,j})_{1 leq i,j leq n}$ be an $n times n$ matrix where $n geq 2$. Let $dt(A)$, its second immanant be the immanant corresponding to the partition $lambda_2 = 2,1^{n-2}$.
R. B. Bapat +1 more
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An eigenvalue optimization problem for Dirichlet-Laplacian with a drift [PDF]
مدلسازی پیشرفته ریاضیIn this paper, we prove a monotonicity result related to the principal eigenvalue for Dirichlet-Laplacian with a drift operator in a punctured ball.
محسن زیوری رضاپور
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Computing Laplacian energy, Laplacian-energy-like invariant and Kirchhoff index of graphs
Acta Universitatis Sapientiae: Informatica, 2022 Let G be a simple connected graph of order n and size m. The matrix L(G)= D(G)− A(G) is called the Laplacian matrix of the graph G,where D(G) and A(G) are the degree diagonal matrix and the adjacency matrix, respectively.
Bhatnagar S., Merajuddin, Pirzada S.
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