Biconnected components
13 hours ago
- #algorithms
- #graph-theory
- #competitive-programming
- Biconnected components (BCCs) are crucial in competitive programming and graph theory.
- Edge-biconnectedness is an equivalence relation, proven by reflexivity, symmetry, and transitivity.
- Tarjan's algorithm efficiently finds bridges and edge-biconnected components using DFS.
- Edge-biconnected components help solve problems like finding secure paths in networks.
- Vertex-biconnected components and articulation points are related but more complex concepts.
- Edge-disjoint paths are another way to understand edge-biconnectedness.