---
tag: 7QCAS7EG0K
kind: concept
name: Combinatorial map
aliases: [combinatorial-maps, n-map, rotation-scheme, rotation-system]
sources:
  - wikipedia: en:21105530@r1331859298
    locator: Combinatorial map
    note: adopted
    mention: wikipedia://en/21105530
    sections: [Summary]
same_as:
  wikidata: Q2940480
  wikipedia: Combinatorial map
inventory: [E1HKTMTM8B]
---

## Summary

A **combinatorial map** is a [[combinatorial|0JKW7W7XFR]] representation of a graph on an orientable surface. A combinatorial map may also be called a combinatorial embedding, a rotation system, an orientable ribbon graph, a fat graph, or a cyclic graph. More generally, an $n$-dimensional combinatorial map is a combinatorial representation of a graph on an $n$-dimensional orientable manifold.