Laplacian matrix

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English

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Etymology

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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

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Laplacian matrix (plural Laplacian matrices)

  1. (graph theory) A square matrix which describes an undirected graph of 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.