Two Hamiltonian cycles
Copyright policy )Two Hamiltonian cycles
If the line graph of a graph $G$ decomposes into Hamiltonian cycles, what is $G$? We answer this question for decomposition into two cycles.
4 pp
line graph, Eulerian and Hamiltonian graphs, Primary 05C45, Secondary 05C76, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Graph operations (line graphs, products, etc.), Hamilton decomposition, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)
line graph, Eulerian and Hamiltonian graphs, Primary 05C45, Secondary 05C76, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Graph operations (line graphs, products, etc.), Hamilton decomposition, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)
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