Monthly Archives: December 2017

Ilan Karpas: Frankl’s Conjecture for Large Families

Posted on December 26, 2017 by Gil Kalai

Frankl’s conjecture Frankl’s conjecture is the following: Let be a finite family of finite subsets of which is closed under union, namely,  if then also . Then there exists an element which belongs to at least half the sets in . … Continue reading →

Posted in Combinatorics, Open problems | Tagged , , , | 4 Comments

Third third of my ICM 2018 paper – Three Puzzles on Mathematics, Computation and Games. Corrections and comments welcome

Posted on December 20, 2017 by Gil Kalai

Update: Here is a combined version of all three parts: Three puzzles on mathematics computations and games. Thanks for the remarks and corrections. More corrections and comments welcome. Dear all, here is the draft of the third third of my … Continue reading →

Posted in Combinatorics, Computer Science and Optimization, Open problems, Physics, Quantum | Tagged , | 3 Comments

Second third of my ICM 2018 paper – Three Puzzles on Mathematics, Computation and Games. Corrections and comments welcome

Posted on December 15, 2017 by Gil Kalai

Update: Here is a combined version of all three parts: Three puzzles on mathematics computations and games. Thanks for the remarks and corrections. More corrections and comments welcome. Dear all, here is the draft of the second third of my paper … Continue reading →

Posted in Combinatorics, Computer Science and Optimization, Games | Tagged , , , , , | 6 Comments

First third of my ICM2018 paper – Three Puzzles on Mathematics, Computation and Games. Corrections and comments welcome

Posted on December 11, 2017 by Gil Kalai

Update: Here is a combined version of all three parts: Three puzzles on mathematics computations and games. Thanks for the remarks and corrections. More corrections and comments welcome. I have a very strict December 20 deadline (self-imposed, I missed the … Continue reading →

Posted in Combinatorics, Computer Science and Optimization, Games, Updates | Tagged | 12 Comments

Preview: The solution by Keller and Lifshitz to several open problems in extremal combinatorics

Posted on December 10, 2017 by Gil Kalai

Peter Frankl (right) and Zoltan Furedi The news A new paper by Nathan Keller and Noam Lifshitz settles several open problems in extremal combinatorics for wide range of parameters. Those include the three problems we mention next. Three central open … Continue reading →

Posted in Combinatorics, Open problems, Updates | Tagged , , , , , , , | 1 Comment