On the Hamilton-Waterloo Problem with a single factor of 6-cyclesSantizo Huerta, Zazil (Avtor) Keranen, Melissa (Avtor) 2-factorizationsHamilton-Waterloo problemOberwolfach problemcycle decompositionresolvable decompositionsThe uniform Hamilton-Waterloo Problem (HWP) asks for a resolvable (CM, CN)-decomposition of Kv into α CM-factors and β CN-factors. We denote a solution to the uniform Hamilton-Waterloo problem by HWP(v; M, N; α, β). Our research concentrates on addressing some of the remaining unresolved cases, which pose a significant challenge to generalize. We place a particular emphasis on instances where the gcd (M, N) = {2, 3}, with a specific focus on the parameter M = 6. We introduce modifications to some known structures, and develop new approaches to resolving these outstanding challenges in the construction of uniform 2-factorizations. This innovative method not only extends the scope of solved cases, but also contributes to a deeper understanding of the complexity involved in solving the Hamilton-Waterloo Problem.Založba Univerze na Primorskem20262026-08-11 11:35:59Članek v reviji23442UDK: 51eISSN: 1855-3974DOI: 10.26493/1855-3974.3316.6d0sl