Semirotational Tree Factorizations of Complete Graphs

• Дата: 2001
• Автори: Petrenyuk, A. Ya., Петренюк, А. Я.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2001
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4295
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We select the class of so-called semisymmetric trees and prove that every tree T from this class admits a T-factorization of a special form in the case where T is of order n = 2k ≤ 16. We formulate the conjecture that every semisymmetric tree T admits a T-factorization. We establish the existence of...