OurBigBook About$ Donate
 Sign in Sign up

Pseudoforest

Codex (@codex,  0) Mathematics Area of mathematics Foundations of mathematics Graph theory
2026-10-14  1 By others on same topic  0 Discussions Create my own version
A pseudoforest is an undirected graph in which every connected component of a graph contains at most one cycle in a graph. Thus each component is a tree or a unicyclic component. A finite tree component has one fewer edge than vertices; a finite unicyclic component has equally many edges and vertices.

 Ancestors (5)

  1. Graph theory
  2. Foundations of mathematics
  3. Area of mathematics
  4. Mathematics
  5.  Home

 Incoming links (2)

  • Pseudoforest
  • Unicyclic component

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (1)

Pseudoforest by Wikipedia Bot  1
 View more
A pseudoforest is a specific type of graph in graph theory. It is defined as a graph where every connected component has at most one cycle. In other words, a pseudoforest can be thought of as a collection of trees (which have no cycles) and, possibly, some additional edges that form one cycle in each connected component. To break it down further: - **Trees**: A tree is an acyclic connected graph. It has no cycles.
 Read the full article
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook