Laplacian matrix

English

Etymology

Named after Pierre-Simon, marquis de Laplace (1749 – 1827), a French scholar whose work was important to the development of mathematics, statistics, physics and astronomy.

Noun

Laplacian matrix (plural Laplacian matrices)

(graph theory) A square ${\\displaystyle n\\times n}$ matrix which describes an undirected graph of ${\\displaystyle n}$ vertices by letting rows and columns correspond to vertices, letting its diagonal elements contain the degrees of corresponding vertices and letting its non-diagonal elements contain either −1 or 0 depending on whether there is or there is not (respectively) an edge connecting the pair of corresponding vertices.

单词	Laplacian matrix
释义	Laplacian matrix English Etymology Named after Pierre-Simon, marquis de Laplace (1749 – 1827), a French scholar whose work was important to the development of mathematics, statistics, physics and astronomy. Noun Laplacian matrix (plural Laplacian matrices) (graph theory) A square ${\\displaystyle n\\times n}$ matrix which describes an undirected graph of ${\\displaystyle n}$ vertices by letting rows and columns correspond to vertices, letting its diagonal elements contain the degrees of corresponding vertices and letting its non-diagonal elements contain either −1 or 0 depending on whether there is or there is not (respectively) an edge connecting the pair of corresponding vertices.
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