Proof of Frankl's Conjecture: A Non-Constructive Approach
Yonghong Liu1 Show affiliations
- School of Automation, Wuhan University of Technology, China
Journal of Mathematics and Statistics, Volume 18, Issue 1, pp. 134–137 · doi.org/10.3844/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.
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Liu, Y. (2022). Proof of Frankl's Conjecture: A Non-Constructive Approach. Journal of Mathematics and Statistics, 18(1), 134–137. https://doi.org/10.3844/jmssp.2022.134.137
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