---
tag: 4DXC4M7CWN
kind: concept
name: Balaban 10-cage
sources:
  - wikipedia: en:23714047@r1321591270
    locator: Balaban 10-cage
    note: adopted
    mention: wikipedia://en/23714047
    sections: [Summary]
same_as:
  wikidata: Q675752
  wikipedia: Balaban 10-cage
inventory: [6ZZ95RWRB4]
---

## Summary

In the mathematical field of graph theory, the **Balaban 10-cage** or **Balaban $(3,10)$-cage** is a 3-[[regular graph|0KA4S8R39M]] with 70 vertices and 105 edges named after Alexandru T. Balaban. Published in 1972, It was the first 10-cage discovered but it is not unique.