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hypohamiltonian graph

graph G is said to be hypohamiltonian if G does not itself have a Hamiltonian cycle but every graph formed by removing a single vertex from G is Hamiltonian
Class type of: triconnected graph, almost Hamiltonian graph Q3115577
hypohamiltonian graph
David Eppstein · Public Domain · Wikimedia

Facts

4 properties
Subclass of
triconnected graph, almost Hamiltonian graph[2][3]
Maintained by WikiProject
WikiProject Mathematics[5]
Named after
William Rowan Hamilton[1]
Studied by
graph theory[4]
🏷️ Also known as
en hypohamiltonian graph de hypohamiltonscher Graph fr graphe hypohamiltonien hu hypotraceable gráf hu majdnem Hamilton-utas gráf hu majdnem Hamilton-körös gráf hu hipohamiltoni gráf hu hypohamiltonian gráf pt grafo hipohamiltoniano ru гипогамильтонов граф uk гіпогамільтонів граф zh 亞哈密頓圖
🔖 Identifiers · 5
Freebase ID
/m/04cxyyp
MathWorld ID
HypohamiltonianGraph
Microsoft Academic ID (discontinued)
2777892613
PlanetMath ID
Hypohamiltonian
Wolfram Language entity code
Entity["GraphClass", "Hypohamiltonian"]

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🔗 Connections
Examples 4
Petersen graph, Coxeter graph, Szekeres snark, double-star snark
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
William Rowan Hamilton
Studied by 1
graph theory
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Related Entities

graph theory William Rowan Hamilton

References

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

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.

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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). hypohamiltonian graph. Retrieved November 10, 2026, from https://4ort.xyz/entity/hypohamiltonian-graph
MLA “hypohamiltonian graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Nov. 2026, https://4ort.xyz/entity/hypohamiltonian-graph.
BibTeX @misc{4ortxyz_hypohamiltonian-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{hypohamiltonian graph}}, year = {2026}, url = {https://4ort.xyz/entity/hypohamiltonian-graph}, note = {Accessed: 2026-11-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): hypohamiltonian graph — https://4ort.xyz/entity/hypohamiltonian-graph (retrieved 2026-11-10)

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