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math.CO2022
Partitioning a 2-edge-coloured graph of minimum degree into three monochromatic cycles
Peter Allen, Julia Böttcher, Richard Lang +2
Lehel conjectured in the 1970s that every red and blue edge-coloured complete graph can be partitioned into two monochromatic cycles. This was confirmed in 2010 by Bessy and Thomas…
math.CO2022
Sufficient conditions for perfect mixed tilings
Eoin Hurley, Felix Joos, Richard Lang
We develop a method to study sufficient conditions for perfect mixed tilings. Our framework allows the embedding of bounded degree graphs with components of sublinear order. As…