Math 2.0

Concept

Acyclic

Summary

A graph is acyclic if it has no cycles. An undirected acyclic graph is the same thing as a forest. An acyclic directed graph, which is a digraph without directed cycles, is often called a directed acyclic graph, especially in computer science.

An acyclic coloring of an undirected graph is a proper coloring in which every two color classes induce a forest.

Further reading

  1. Wikipedia, page 325802, revision 1373839425, Glossary of graph theory, section A. adopted
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