Cheeger constant

nonnegative-rational-valued invariant of undirected finite graphs; graph-theoretic analogue of the Cheeger constant for compact Riemannian manifolds
Thing graph_property Q5089262
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Cheeger constant

Summary

Cheeger constant is a graph property[1]. It draws 88 Wikipedia views per month (graph_property category, ranking #10 of 43).[2]

Key Facts

  • Cheeger constant's instance of is recorded as graph property[3].
  • Jeff Cheeger is named after Cheeger constant[4].
  • Cheeger constant's subclass of is recorded as non-negative real number[5].
  • Cheeger constant's subclass of is recorded as rational number[6].
  • Cheeger constant's Freebase ID is recorded as /m/026c60j[7].
  • Cheeger constant's described at URL is recorded as https://www.findstat.org/StatisticsDatabase/St001281/[8].
  • Cheeger constant's different from is recorded as Cheeger constant[9].
  • Cheeger constant's defining formula is recorded as h(G) := \min \left{\frac{| \partial A |}{| A |} \ : \ A \subseteq V,\; 0 < | A | \leq \tfrac{1}{2} | V| \right}, \quad \partial A := { xy \in E \ : \ x \in A, y \in V \setminus A }<sup id="cite-C13" class="cite-ref" title="Cheeger constant — defining formula (P2534): h(G) := \min \left{\frac{| \partial A |}{| A |} \ : \ A \subseteq V,\; 0 < | A | \leq \tfrac{1}{2} | V| \right}, \quad \partial A := { xy \in E \ : \ x">[10].
  • Cheeger constant's studied by is recorded as graph theory[11].
  • Cheeger constant's less than is recorded as minimum vertex degree[12].
  • Cheeger constant's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Cheeger constant's Microsoft Academic ID is recorded as 75659285[14].
  • Cheeger constant's in defining formula is recorded as h(G)[15].
  • Cheeger constant's in defining formula is recorded as V[16].
  • Cheeger constant's in defining formula is recorded as E[17].

Why It Matters

Cheeger constant draws 88 Wikipedia views per month (graph_property category, ranking #10 of 43).[2] It is known by 11 alternative names across languages and contexts.[18]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . lsoperimetric Numbers of Graphs. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . 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). Cheeger constant. Retrieved May 3, 2026, from https://4ort.xyz/entity/cheeger-constant
MLA “Cheeger constant.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cheeger-constant.
BibTeX @misc{4ortxyz_cheeger-constant_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cheeger constant}}, year = {2026}, url = {https://4ort.xyz/entity/cheeger-constant}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cheeger constant — https://4ort.xyz/entity/cheeger-constant (retrieved 2026-05-03)

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