A proof of Frankl's union-closed sets conjecture for dismantlable lattices

作者：Joshi Vinayak^*; Waphare B N; Kavishwar S P

来源：ALGEBRA UNIVERSALIS, 2016, 76(3): 351-354.

DOI：10.1007/s00012-016-0405-0

• union-closed sets conjecture
• Frankl's conjecture
• dismantlable lattices

In this paper, we prove Frankl's Union-Closed Sets Conjecture for the class of dismantlable lattices, a more general class than the class of planar lattices. As a consequence of this result, we also prove that an upper semimodular lattice with breadth at most two satisfies the Conjecture.

• 出版日期2016-11