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Graphs and Combinatorics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huiqiu Lin, Yuan Hong 0008, Jinlong Shu
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huiqiu Lin, Yuan Hong 0008, Jinlong Shu
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Zeon Matrix Inverses and the Zeon Combinatorial Laplacian
Advances in Applied Clifford Algebras, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Eigenvalue Assignment for the Laplacian Matrix of Directed Graphs
2019 American Control Conference (ACC), 2019This paper considers the problem of designing the edge weights of directed graphs such that their Laplacian matrix has a prescribed spectrum. We provide a parametrization of the Laplacian matrix which is suitable for solving the problem numerically.
Jonathan Hermann, Ulrich Konigorski
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Principal subpermanents of the Laplacian matrix
Linear and Multilinear Algebra, 1986The subdeterminants of the Laplacian matrix L(G) assigned to a graph G have a well-known combinatorial meaning. In the present paper principal subpermanents per LK (G) and coefficients pk (G) of the permanental characteristic polynomial of L(G) are expressed by means of some collections of subgraphs of G.
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Bounds on the Smallest Eigenvalue of a Pinned Laplacian Matrix
IEEE Transactions on Automatic Control, 2018In this note, we study a networked system with single/multiple pinning. Given a weighted and undirected network, we derive lower and upper bounds on its algebraic connectivity with respect to the reference signal. The bounds are derived by partitioning the network in terms of distance of each node from the pinning set.
Saeed Manaffam, Aman Behal
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Conjugate Laplacian matrices of a graph
Discrete Mathematics, Algorithms and Applications, 2018Let [Formula: see text] be a simple graph of order [Formula: see text] Let [Formula: see text] and [Formula: see text] where [Formula: see text] and [Formula: see text] are two nonzero integers and [Formula: see text] is a positive integer such that [Formula: see text] is not a perfect square. In [M.
BÜYÜKKÖSE, ŞERİFE, Kabatas, Ulkunur
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Hermitian skew Laplacian matrix of oriented graphs
Discrete Mathematics, Algorithms and ApplicationsLet [Formula: see text] be a simple graph of order [Formula: see text] having [Formula: see text] edges and let [Formula: see text] be an orientation of [Formula: see text]. The hermitian skew Laplacian matrix [Formula: see text] of [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the imaginary unit, [Formula: see ...
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Non-negative matrix factorization for images with Laplacian noise
APCCAS 2008 - 2008 IEEE Asia Pacific Conference on Circuits and Systems, 2008This paper is concerned with the design of a non-negative matrix factorization algorithm for image analysis. This can be used in the context of blind source separation, where each observed image is a linear combination of a few basis functions, and that both the coefficients for the linear combination and the bases are unknown.
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On distance and Laplacian matrices of trees with matrix weights
Linear and Multilinear Algebra, 2021Rajesh Kannan M +2 more
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