1 Department of Computer Science, University of Illinois Urbana-Champaign, Urbana, IL, United States 2 Department of Mathematics, Illinois State University, Normal, IL, United States Spectral graph ...
Computes (though not especially efficiently) the path homology, path homology boundary matrices and bases of the path chain complex of a digraph with respect to coefficients that are rational or a ...
Abstract: In this paper, the digraph filter design based on directed Laplacian matrix (DLM) and least squares method is presented. First, the eigen-decomposition of DLM is used to define the digraph ...
Abstract: In this paper, some efficient criteria for finite-time consensus of a class of nonsmooth opinion dynamics over a digraph are established. The lower and upper bounds on the finite settling ...
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