---
tag: 737HZ7T7ZF
kind: concept
name: Monotone
sources:
  - wikipedia: en:325802@r1373839425
    locator: Glossary of graph theory, section M
    note: adopted
    mention: wikipedia://en/325802#L1NX
    sections: [Summary]
inventory: [8SJTA3DY33]
---

## Summary

A monotone property of graphs is a property that is closed under subgraphs: if $G$ has a monotone property, then so must every subgraph of $G$. Compare hereditary (closed under induced subgraphs) or *minor-closed* (closed under minors).