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![A [ k, k +1]-factor containing given Hamiltonian cycle](https://epdf.pub/img/300x300/a-k-k-1-factor-containing-given-hamiltonian-cycle_5b74ca57b7d7bc026facab0e.jpg)
![[0, k i] 1^m -factorizations orthogonal to a subgraph](https://epdf.pub/img/300x300/0-k-i-1m-factorizations-orthogonal-to-a-subgraph_5afcdd86b7d7bc78691c0b95.jpg)
