Proves |A|*|B| <= h(n,k)^2 for non-trivial cross-intersecting k-uniform families A, B on [n] when n >= 2k and k >= 3, with extremal pair characterization.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A structural theorem for large cross-intersecting pairs is proved by extending Kupavskii's result, using a new S_{U,V}^Q-shift that preserves global and local intersection properties, yielding analogues of classical theorems.
citing papers explorer
-
A sharp product bound for non-trivial cross-intersecting families
Proves |A|*|B| <= h(n,k)^2 for non-trivial cross-intersecting k-uniform families A, B on [n] when n >= 2k and k >= 3, with extremal pair characterization.
-
Structure and properties of large cross-intersecting families
A structural theorem for large cross-intersecting pairs is proved by extending Kupavskii's result, using a new S_{U,V}^Q-shift that preserves global and local intersection properties, yielding analogues of classical theorems.