Laplacian matrix

matrix representation of a graph
Thing general Q772067
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Laplacian matrix

Summary

Laplacian matrix ranks in the top 2% of general entities by monthly Wikipedia readership (445 views/month).[1]

Key Facts

  • Pierre-Simon Laplace is named after Laplacian matrix[2].
  • Laplacian matrix's subclass of is recorded as positive-semidefinite matrix[3].
  • Laplacian matrix's subclass of is recorded as M-matrix[4].
  • Laplacian matrix's Freebase ID is recorded as /m/052dmj[5].
  • Laplacian matrix's facet of is recorded as discrete Laplace operator[6].
  • Laplacian matrix's defining formula is recorded as L = D - A[7].
  • Laplacian matrix's studied by is recorded as graph theory[8].
  • Laplacian matrix's MathWorld ID is recorded as LaplacianMatrix[9].
  • Laplacian matrix's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Laplacian matrix's Microsoft Academic ID is recorded as 115178988[11].
  • Laplacian matrix's in defining formula is recorded as L[12].
  • Laplacian matrix's in defining formula is recorded as D[13].
  • Laplacian matrix's in defining formula is recorded as A[14].
  • Laplacian matrix's PlanetMath ID is recorded as LaplacianMatrixOfAGraph[15].
  • Laplacian matrix's OpenAlex ID is recorded as C115178988[16].
  • Laplacian matrix's Encyclopedia of China is recorded as 321970[17].

Why It Matters

Laplacian matrix ranks in the top 2% of general entities by monthly Wikipedia readership (445 views/month).[1] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[18] It is known by 7 alternative names across languages and contexts.[19]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . Freebase Data Dumps. wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  16. [17] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Laplacian matrix. Retrieved April 10, 2026, from https://4ort.xyz/entity/laplacian-matrix
MLA “Laplacian matrix.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/laplacian-matrix.
BibTeX @misc{4ortxyz_laplacian-matrix_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Laplacian matrix}}, year = {2026}, url = {https://4ort.xyz/entity/laplacian-matrix}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Laplacian matrix — https://4ort.xyz/entity/laplacian-matrix (retrieved 2026-04-10)

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