edge_hamiltonian_cycle (396B)
1 # Line graph hamiltonian cycle 2 3 The [line_graph] of an [undirected_graph] has a [Hamiltonian_cycle] whenever the original graph has a [Hamiltonian_cycle]: 4 - cf [balakrishnan2012textbook], Corollary 6.5.5 5 - cf [harary1965eulerian] 6 7 [Computational_problem]: [edge_hamiltonian_cycle_problem] 8 9 Up: [line_graph], [hamiltonian_cycle] 10 11 Aliases: edge hamiltonian cycle 12 13 See also: [edge_hamiltonian_path]