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Laplacian matrix

matrix representation of a graph
Thing general Q772067
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Laplacian matrix

Summary

Laplacian matrix has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • Pierre-Simon Laplace is named after Laplacian matrix[2].
  • Laplacian matrix is a type of positive-semidefinite matrix[3].
  • Laplacian matrix is a type of M-matrix[4].
  • Laplacian matrix's facet of is recorded as discrete Laplace operator[5].
  • Laplacian matrix's studied by is recorded as graph theory[6].
  • Laplacian matrix's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

Recorded subclass of include positive-semidefinite matrix[3] and M-matrix[4].

Origins

Pierre-Simon Laplace is named after Laplacian matrix[2].

Why It Matters

Laplacian matrix has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[1] It is known by 7 alternative names across languages and contexts.[8]

Related Entities

graph theory Pierre-Simon Laplace

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] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [8] ↑ . 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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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 3d ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    P14541 → 2EYq2O
    Instance of → Q722659
    Named after → —
    Studied by → graph theory
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
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