Results 21 to 30 of about 5,965 (204)
Theory and Applications of Graphs, 2021 In this article, we introduce the concept of nilpotent graph of a finite commutative ring. The set of all non nilpotent elements of a ring is taken as the vertex set and two vertices are adjacent if and only if their sum is nilpotent.
Dhiren Basnet, Ajay Sharma, Rahul Dutta
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Spectrum of Lévy–Khintchine Random Laplacian Matrices
Journal of Theoretical Probability, 2023 AbstractWe consider the spectrum of random Laplacian matrices of the form $$L_n=A_n-D_n$$ L n = A n -
Campbell, Andrew, O'Rourke, Sean
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‘Minesweeper’ and spectrum of discrete Laplacians [PDF]
Applicable Analysis, 2010 We add consideration of tables based on the triangle tiling of the plane.
German, Oleg, Lakshtanov, Evgeny
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Signless Laplacian energy, distance Laplacian energy and distance signless Laplacian spectrum of unitary addition Cayley graphs [PDF]
Linear and Multilinear Algebra, 2021 In this paper we compute bounds for signless Laplacian energy, distance signless Laplacian eigenvalues and signless Laplacian energy of unitary addition Cayley graph G_{n}. We also obtain distance Laplacian eigenvalues and distance Laplacian energy of G_{n}.
P., Naveen, A. V, Chithra
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Laplacian Spectrum Learning [PDF]
, 2010 The eigenspectrum of a graph Laplacian encodes smoothness information over the graph. A natural approach to learning involves transforming the spectrum of a graph Laplacian to obtain a kernel. While manual exploration of the spectrum is conceivable, non-parametric learning methods that adjust the Laplacian's spectrum promise better performance.
Pannagadatta K. Shivaswamy, Tony Jebara
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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Results on Laplacian spectra of graphs with pockets
AKCE International Journal of Graphs and Combinatorics, 2018 Let F , H v be simple connected graphs on n and m + 1 vertices, respectively. Let v be a specified vertex of H v and u 1 , … , u k ∈ F . Then the graph G = G [ F , u 1 , … , u k , H v ] obtained by taking one copy of F and k copies of H v , and then ...
Sasmita Barik, Gopinath Sahoo
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Spectrum of the Laplacian on regular polyhedra
Communications on Pure & Applied Analysis, 2021 We study eigenvalues and eigenfunctions of the Laplacian on the surfaces of four of the regular polyhedrons: tetrahedron, octahedron, icosahedron and cube. We show two types of eigenfunctions: nonsingular ones that are smooth at vertices, lift to periodic functions on the plane and are expressible in terms of trigonometric polynomials; and singular ...
Greif, Evan +3 more
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Spectral properties of the commuting graphs of certain groups
AKCE International Journal of Graphs and Combinatorics, 2019 Let G be a finite group. The commuting graph Γ=C(G)is a simple graph with vertex set G and two vertices are adjacent if and only if they commute with each other.
M. Torktaz, A.R. Ashrafi
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Signless Laplacian spectrum of power graphs of finite cyclic groups
AKCE International Journal of Graphs and Combinatorics, 2020 In this paper, we have studied the Signless Laplacian spectrum of the power graph of finite cyclic groups. We have shown that is an eigen value of Signless Laplacian of the power graph of with multiplicity at least In particular, using the theory of ...
Subarsha Banerjee, Avishek Adhikari
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