@article {10.3844/jmssp.2022.134.137, article_type = {journal}, title = {Proof of Frankl's Conjecture: A Non-Constructive Approach}, author = {Liu, Yonghong}, volume = {18}, year = {2022}, month = {Sep}, pages = {134-137}, doi = {10.3844/jmssp.2022.134.137}, url = {https://thescipub.com/abstract/jmssp.2022.134.137}, abstract = {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.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }