The Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix or discrete Laplacian, is a matrix representation of a graph. Degree matrix · Adjacency matrix · Kirchhoff's theorem · Algebraic connectivity |
| Матрица Кирхгофа |  |
Матрица Кирхгофа — одно из представлений конечного графа с помощью матрицы. Матрица Кирхгофа представляет дискретный оператор Лапласа для графа. Она используется для подсчета остовных деревьев данного графа, а также в спектральной теории графов. Википедия
The Laplacian matrix of a graph is L = D – A, where D is the diagonal matrix of degrees, and A is the adjacency matrix. |
Laplacian matrices are widely studied in spectral graph theory to gain understanding of graphs with results from linear algebra. This paper aims to introduce ... |
The Laplacian matrix arises in a variety of application areas such as graph isomorphism problems, electrical networks, computational techniques for dif-. |
11 нояб. 2020 г. · The Laplacian tells us how much the steepness is changing. It's the analogue to the second derivative for a continuous, single-variate function! |
Both matrices have been extremely well studied from an algebraic point of view. The Laplacian allows a natural link between discrete representations, such as ... |
This is primarily an expository article surveying some of the many results known for Laplacian matrices. |
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