Word.ws English Dictionary

Laplacian matrix

Laplacian matrix noun: a square n×n matrix which describes an undirected graph of 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.

Noun

Laplacian matrix (plural Laplacian matrices)

  1. A square n×n matrix which describes an undirected graph of 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.

Forms of Laplacian matrix

pluralLaplacian matrices

Origin of Laplacian matrix

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.

Questions about Laplacian matrix

What does Laplacian matrix mean?
Laplacian matrix means a square n×n matrix which describes an undirected graph of 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.
What part of speech is Laplacian matrix?
Laplacian matrix is a noun.
What is the plural of Laplacian matrix?
The plural of Laplacian matrix is Laplacian matrices.

Words near Laplacian matrix in the dictionary

  1. Laplace-de Rham operator
  2. Laplacean
  3. Laplaceans
  4. Laplaces
  5. laplacian
  6. Laplacian matrix
  7. laplacians
  8. Lapland
  9. Lapland bunting
  10. Lapland longspur
  11. Lapland longspurs

Source and license

Adapted from Wiktionary: Laplacian matrix (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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