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claw-free graph

graph without four-vertex star induced subgraph
Class type of: fork-free graph Q5129750

Facts

7 properties
Instance of
class of the graphs without certain subgraphs
Subclass of
fork-free graph[3]
Does not have part
claw graph[6]
Maintained by WikiProject
WikiProject Mathematics[7]
Named after
claw graph[2]
Opposite of
co-claw-free graph[4]
Studied by
graph theory[5]
🏷️ Also known as
en claw-free graph de klauenfreier Graph fa گراف‌های پنجه‌آزاد fr graphe sans griffe hu karommentes gráf ru граф без клешней uk граф без клешень zh-hant 爪免除圖
🔖 Identifiers · 7
Image (Wikimedia Commons)
A 5 regular graph on 12 vertices.PNG ↗
BabelNet ID
00399915n
Freebase ID
/m/02w4dk0
Graphclasses.org ID
gc_62
MathWorld ID
Claw-FreeGraph
Microsoft Academic ID (discontinued)
110071963
Wolfram Language entity code
Entity["GraphClass", "ClawFree"]

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Examples 4
diamond graph, bull graph, Moser spindle, Schläfli graph
Maintained by WikiProject 1
WikiProject Mathematics
Studied by 1
graph theory
Subtypes 1
cycle graph
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Summary

claw-free graph is a class of the graphs without certain subgraphs[1].

Related Entities

graph theory

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.

Class ancestry

  1. [1] ↑ . Wikidata. 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). claw-free graph. Retrieved November 8, 2026, from https://4ort.xyz/entity/claw-free-graph
MLA “claw-free graph.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Nov. 2026, https://4ort.xyz/entity/claw-free-graph.
BibTeX @misc{4ortxyz_claw-free-graph_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{claw-free graph}}, year = {2026}, url = {https://4ort.xyz/entity/claw-free-graph}, note = {Accessed: 2026-11-08}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): claw-free graph — https://4ort.xyz/entity/claw-free-graph (retrieved 2026-11-08)

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