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math.CO2022
A non-uniform extension of Baranyai's Theorem
Jinye He, Hao Huang, Jie Ma
A celebrated theorem of Baranyai states that when divides , the family of all -subsets of an -element set can be partitioned into perfect matchings. In other w…
math.CO2022
The minimum number of clique-saturating edges
Jialin He, Fuhong Ma, Jie Ma +1
Let be a -free graph. We say is a -saturating edge of if and contains a copy of . Denote by the minimum number of -…