---
tag: KRPK61M7DA
kind: concept
name: Sylvester graph
sources:
  - wikipedia: en:47090707@r1288153148
    locator: Sylvester graph
    note: adopted
    mention: wikipedia://en/47090707
    sections: [Summary]
same_as:
  wikidata: Q3115536
  wikipedia: Sylvester graph
inventory: [WKRBDR2FN8]
---

## Summary

The **Sylvester graph** is the unique distance-regular graph with intersection array $\{5,4,2;1,1,4\}$. It is a subgraph of the Hoffman–Singleton graph.