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math.CO2025
Cross-intersection theorems for uniform partitions of finite sets
Tian Yao, Mengyu Cao, Haixiang Zhang
A set partition is -uniform if every block has size . Two families of -uniform partitions of a finite set are said to be cross -intersecting if two partitions from diff…
math.CO2025
-almost cross--intersecting families for finite sets
Dehai Liu, Kaishun Wang, Tian Yao
Two families and of -subsets of an -set are called -almost cross--intersecting if each member in (resp. ) is -…