Results 201 to 210 of about 13,572 (222)
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The laplacian matrix of a graph: unimodular congruence
Linear and Multilinear Algebra, 1990This paper gives graph-theoretic conditions that are sufficient for the Laplaceman matrices of two graphs to be congruent by a unimodular matrix.
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The Group Inverse of the Laplacian Matrix of a Graph
2018What follows is a short, selective tour of some of the connections between weighted graphs and the group inverses of their associated Laplacian matrices. The presentation below draws heavily from Kirkland–Neumann [11, Ch. 7], and the interested reader can find further results on the topic in that book.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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A Geometric Approach to the Laplacian Matrix of a Graph
1993Let G be a finite undirected connected graph with n vertices. We assign to G an (n - 1)-simplex ∑(G) in the point Euclidean (n - 1)-space in such a way that the Laplacian L(G) of G is the Gram matrix of the outward normals of ∑(G). It is shown that the spectral properties of L(G) are reflected by the geometric shape of the Steiner circumscribed ...
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
Reviews of Modern Physics, 2021Juan Ignacio Cirac Sasturáin +2 more
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Extracellular matrix-based materials for regenerative medicine
Nature Reviews Materials, 2018George S Hussey, Stephen F Badylak
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