Results 141 to 150 of about 57,585 (308)
Laplacian Coefficients of a Forest in Terms of the Number of Closed Walks in the Forest and its Line Graph [PDF]
Mathematics Interdisciplinary ResearchIn this paper, we deal with calculating the laplacian coefficients of a finite simple graph $G$ with the Laplacian polynomial $\psi(G,\lambda) = \sum_{k=0}^{n}(-1)^{n-k}c_k\lambda^k$.
Ali Ghalavand, Alireza Ashrafi
doaj +1 more source
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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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
wiley +1 more source
On structural controllability in complex networks with periodic switching topologies
Asian Journal of Control, EarlyView.Abstract This paper investigates the structural controllability of complex networks with periodic switching topologies. First, several graph transformations that preserve structural controllability are demonstrated. Based on the n‐walk theory, a criterion is derived that determines structural controllability by analyzing only the joint graph within a ...
Jingrui Hou +3 more
wiley +1 more source
SO2 Transfer Enabled by an Easy‐to‐Handle Ionic Liquid
Chemistry – A European Journal, EarlyView.Best of both worlds: The ionic liquid [NEt3Me][Cl(SO2)n] unites the atom economy and low cost of sulfur dioxide with the safety and applicability of common surrogates, streamlining SO2 transfer to access to 3‐sulfolenes, sulfonamides, and SuFEx reagents.
Johanna S. Sturm +11 more
wiley +1 more source
On the essential spectrum of the Laplacian and the drifted Laplacian
Journal of Functional Analysis, 2014 This paper concerns the $L^2$ essential spectrum of the Laplacian $Δ$ and the drift Laplacian $Δ_f$ on complete Riemannian manifolds endowed with a weighted measure $e^{-f}d\;vol_g$. We prove that the essential spectrum of the drift Laplacian $Δ_f$ is $[0,+\infty) $ provided the Bakry-Émery curvature tensor $Ric_f$ is nonnegative and $f$ has sublinear ...
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Chemie Ingenieur Technik, EarlyView.This work explores generative AI for automated revision of Piping and Instrumentation Diagrams (P&IDs). We frame P&ID correction as a translation problem, converting attributed P&ID graphs into sequences and learning revisions with a transformer‐based model.
Lukas Schulze Balhorn +5 more
wiley +1 more source
On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs
Journal of New Theory, 2018 We introduce the concept of Path Laplacian Matrix for a graph and explore the eigenvalues of this matrix. The eigenvalues of this matrix are called the path Laplacian eigenvalues of the graph.
Shridhar Chandrakant Patekar +1 more
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Foundations of Data ScienceRecently various types of topological Laplacians have been studied from the perspective of data analysis. The spectral theory of these Laplacians has significantly extended the scope of algebraic topology and data analysis. Inspired by the theory of persistent Laplacians and cellular sheaves, this work develops the theory of persistent sheaf Laplacians
Wei, Xiaoqi, Wei, Guo-Wei
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Coherence analysis: Methods, solutions and problems [PDF]
, 2008 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.A coherence function is a measure of the correlation of two signals and may be used as a measure for functional relationship between brain areas.
Irfan, Memon
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