Nonexistence of some T-factorizations of order 12
We investigate the Beineke problem of the existence of T-factorizations of complete graphs and prove several theorems on the existence of T-factorizations. Using these theorems, we establish the nonexistence of T-factorizations for 32 nonisomorphic admissible trees of order 12.
English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 5, pp 751-762.
Citation Example: Petrenyuk A. Ya. Nonexistence of some T-factorizations of order 12 // Ukr. Mat. Zh. - 2006. - 58, № 5. - pp. 666–674.