Proves β(F) ≤ 2^{n-4} for any IU-family F and a tight upper bound on sums of sizes of cross t-intersecting separated families, with counterexamples settling a prior open problem negatively.
Seymour, On incomparable collections of sets, Mathematika, 20 (1973) 208–209
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Two results on set families: sturdiness and intersection
Proves β(F) ≤ 2^{n-4} for any IU-family F and a tight upper bound on sums of sizes of cross t-intersecting separated families, with counterexamples settling a prior open problem negatively.