Britannica AI Icon

Quick Summary

In graph theory, a tree is a specific type of graph that contains no cycles. A graph itself is a mathematical concept consisting of points (vertices) connected by lines (edges). Trees are fundamental structures in graph theory and have applications in various fields, including computer science.12

The number of labeled trees with v vertices is given by the formula vv−2. The study of trees and other graph structures is a significant area of mathematical research.32

Summary created from Britannica articles using AI. AI can make mistakes, so verify using Britannica articles.

Ask Britannica AI about this topic

Britannica doesn't have a full article on this topic, so we've curated a list of our relevant coverage.