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The laplacian matrix of a graph: unimodular congruence

Linear and Multilinear Algebra, 1990
This 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

2018
What 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, 2022
Hans-Curt Flemming   +2 more
exaly  

A Geometric Approach to the Laplacian Matrix of a Graph

1993
Let 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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Extracellular vesicle–matrix interactions

Nature Reviews Materials, 2023
, Jae-won Shin
exaly  

The matrix in cancer

Nature Reviews Cancer, 2021
Thomas Cox
exaly  

Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

Reviews of Modern Physics, 2021
Juan Ignacio Cirac Sasturáin   +2 more
exaly  

The biofilm matrix

Nature Reviews Microbiology, 2010
Hans-Curt Flemming
exaly  

Extracellular matrix-based materials for regenerative medicine

Nature Reviews Materials, 2018
George S Hussey, Stephen F Badylak
exaly  

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