2-factorizations of K11

CORRIGENDUM TO:
    F.Franek, A.Rosa, Two-factorizations of small complete graphs, JSPI 86 (2000), 435-442

    Due to an error in our isomorph rejection program, several entries in Table 3 on p. 438 of the above paper listing the numbers of 2-factorizations of K11 with 2-factors of type E and F were incorrect. Below we list the corrected 2-factorizations together with their respective automorphism groups, and a detailed description of how the solutions were generated and classified.

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2-factor of type E consists of two 3-cycles and one 5-cycle.
2-factor of type F consists of two 4-cycles and one 3-cycle.

  1. Non-isomorphic 2-factorizations of K11 of type E5: there is no such system
  2. Non-isomorphic 2-factorizations of K11 of type E4F: there are
        7 non-isomorphic 2-factorizations
        comparison with the systems published originally
        details of computation
  3. Non-isomorphic 2-factorizations of K11 of type E3F2: there are
        4 non-isomorphic 2-factorizations
        comparison with the systems published originally
        details of computation
  4. Non-isomorphic 2-factorizations of K11 of type E2F3: there are
        8 non-isomorphic 2-factorizations
        comparison with the systems published originally
        details of computation
  5. Non-isomorphic 2-factorizations of K11 of type EF4: there are
        3 non-isomorphic 2-factorizations
        comparison with the systems published originally
        details of computation
  6. Non-isomorphic 2-factorizations of K11 of type F5: there are
        11 non-isomorphic 2-factorizations
        comparison with the systems published originally
        details of computation