{ "id": "1603.01215", "version": "v1", "published": "2016-03-03T18:49:30.000Z", "updated": "2016-03-03T18:49:30.000Z", "title": "Remarks on Frankl's conjecture", "authors": [ "Francesco Marigo", "Davide Schipani" ], "categories": [ "math.CO", "cs.DM" ], "abstract": "First a few reformulations of Frankl's conjecture are given, in terms of reduced families or matrices, or analogously in terms of lattices. These lead naturally to a stronger conjecture with a neat formulation which might be easier to attack than Frankl's. To this end we prove an inequality which might help in proving the stronger conjecture.", "revisions": [ { "version": "v1", "updated": "2016-03-03T18:49:30.000Z" } ], "analyses": { "keywords": [ "frankls conjecture", "stronger conjecture", "neat formulation", "reformulations", "reduced families" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }