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Graph-theory
/ Part: Paths, Cycles and Connectivity
Part: Paths, Cycles and Connectivity
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Table of Contents
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
Mentioned in:
Proofs:
1
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