TY - JOUR
AU - Liu, Yonghong
PY - 2022
TI - Proof of Frankl's Conjecture: A Non-Constructive Approach
JF - Journal of Mathematics and Statistics
VL - 18
IS - 1
DO - 10.3844/jmssp.2022.134.137
UR - https://thescipub.com/abstract/jmssp.2022.134.137
AB - Let U be a finite set and X a family of nonempty subsets of U,which is closed under unions. We establish a connection between Frankl'sconjecture and equipollence sets, in which a complementary set is anEquipollence set on the Frobenius group. We complete the proof of theunion-closed sets using a non-constructive approach. The proof relies upon thatwe need to prove, that the series of the prime divisor diverges, and thereexists xi which appears at least half distributedin subsets.