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- Definition: Walks, Trails, and Paths
- Definition: Closed Walks, Closed Trails, and Cycles
- Chapter: Bipartite Graphs
- Definition: Hamiltonian Cycle
- Definition: Eulerian Tour
- Definition: Connected and Disconnected Graphs, Bridges and Cutvertices
- Definition: Weakly and Strongly Connected Digraphs
- Algorithm: Get All Components of a Graph
- Definition: Connected Vertices
- Definition: Biconnected Graphs, \(k\)-Connected Graphs
- Definition: Semi-Eulerian Tour, Open Trail
- Definition: Semi-Hamiltonian Path
- Proposition: Connectivity Is an Equivalence Relation - Components Are a Partition of a Graph
- Algorithm: Get the Component Induced by Vertices Connected to a Given Vertex
- Algorithm: Get the Cut Vertices and Biconnected Components of a Connected Graph

Proofs: 1