---
tag: BN7SGZPHGF
kind: concept
name: Antiprism graph
sources:
  - wikipedia: en:45012210@r1352722011
    locator: Antiprism graph
    note: adopted
    mention: wikipedia://en/45012210
    sections: [Summary]
same_as:
  wikidata: Q19595912
  wikipedia: Antiprism graph
inventory: [KYZVK9HNDZ]
---

## Summary

In the mathematical field of graph theory, an **antiprism graph** is a [[graph|00C0BR7D7H]] that has one of the antiprisms as its skeleton. An $n$-sided antiprism has $2n$ vertices and $4n$ edges. They are [[regular|0KA4S8R39M]], polyhedral (and therefore by necessity also 3-vertex-connected, vertex-transitive, and [[planar graphs|029JQEK15B]]), and also Hamiltonian graphs.