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math.CO2026
The perfect 1-factorisation conjecture holds asymptotically
Yangyang Cheng, Amedeo Sgueglia
A famous conjecture of Anton Kotzig states that for every even integer , the complete graph of order can be decomposed into perfect matchings such that ev…
math.CO2026
Ordered Ramsey and Turán numbers of alternating paths and their variants
Gaurav Kucheriya, Allan Lo, Jan Petr +2
An ordered graph is a graph whose vertex set is equipped with a total order. The ordered complete graph is the complete graph with vertex set equipped with the natura…