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Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.02.027
Abstract: We consider a generalization of the diffusion equation on graphs. This generalized diffusion equation gives rise to both normal and superdiffusive processes on infinite one-dimensional graphs. The generalization is based on the k-path Laplacian operators…
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Keywords:
superdiffusive processes;
laplacian operators;
one dimensional;
path laplacian ... See more keywords
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Published in 2018 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2018.06.026
Abstract: Many physical systems are best represented by graphs G = (V,E), where the set of nodes (vertices) V represents the entities of the system and the set of edges E describes the interactions between these…
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Keywords:
superdiffusive processes;
diffusion;
laplacian operators;
path laplacian ... See more keywords
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Published in 2021 at "Neurocomputing"
DOI: 10.1016/j.neucom.2020.09.053
Abstract: Abstract In this paper, we address the consensus protocol design problem of the networked harmonic oscillators interacting through a directed graph with peer pressure from the perspective of the output information, in which the peer…
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Keywords:
networked harmonic;
consensus;
path laplacian;
harmonic oscillators ... See more keywords