1-Factorization of K 2n
1-Factorization of --- один-факторизация графа .
A one-factorization of is a partition of the edge-set of into one-factors. A perfect one-factorization (P1F) is a one-factorization in which every pair of distinct one-factors forms a Hamiltonian cycle of . P1Fs of are known to exist when or is prime, and for .
It has been conjectured that a perfect one-factorization of exists for all .