TY - JOUR
T1 - Kotzig factorizations
T2 - Existence and computational results
AU - Colbourn, Charles J.
AU - Mendelsohn, Eric
N1 - Funding Information:
*Research supported under NRC Grant Number A7681
PY - 1982/1/1
Y1 - 1982/1/1
N2 - A new combinatorial configuration called a Kotzig factorization is introduced, and its relationships to Room squares, Howell designs, perfect 1-factorizations, and Kirkman triple systems are discussed. Kotzig factorizations are constructed for prime orders and for all orders up to 43. Various restrictions on the automorphism group, together with some interesting computational techniques, are employed in the construction of the small orders.
AB - A new combinatorial configuration called a Kotzig factorization is introduced, and its relationships to Room squares, Howell designs, perfect 1-factorizations, and Kirkman triple systems are discussed. Kotzig factorizations are constructed for prime orders and for all orders up to 43. Various restrictions on the automorphism group, together with some interesting computational techniques, are employed in the construction of the small orders.
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U2 - 10.1016/S0304-0208(08)73492-3
DO - 10.1016/S0304-0208(08)73492-3
M3 - Article
AN - SCOPUS:77957678041
SN - 0304-0208
VL - 60
SP - 65
EP - 78
JO - North-Holland Mathematics Studies
JF - North-Holland Mathematics Studies
IS - C
ER -