Recent Comments
Category Archives: Combinatorics
A Nice Example Related to the Frankl Conjecture
Update: Peter Frankl brought to my attention that the very same example appeared in a paper by Dynkin and Frankl “Extremal sets of subsets satisfying conditions induced by a graph“. The example As a follow up to my previous post … Continue reading
Amazing: Justin Gilmer gave a constant lower bound for the union-closed sets conjecture
Frankl’s conjecture (aka the union closed sets conjecture) asserts that if is a family of subsets of [n] (=: ) which is closed under union then there is an element such that Justin Gilmer just proved an amazing weaker form … Continue reading
James Davies: Every finite colouring of the plane contains a monochromatic pair of points at an odd distance from each other.
Here is a lovely piece of news: the following paper by James Davies was posted on the arXive a few weeks ago. The paper uses spectral methods to settle an old question, posed in 1994, by Moshe Rosenfeld. (See this … Continue reading
Alexander A. Gaifullin: Many 27-vertex Triangulations of Manifolds Like the Octonionic Projective Plane (Not Even One Was Known Before).
From top left clockwise: Alexander Gaifullin, Denis Gorodkov, Ulrich Brehm, Wolfgang Kühnel Here is the paper: Alexander A. Gaifullin: 634 vertex-transitive and more than 10¹⁰³ non-vertex-transitive 27-vertex triangulations of manifolds like the octonionic projective plane Abstract with annotation: In … Continue reading
Posted in Combinatorics, Geometry
Tagged Alexander Gaifullin, Denis Gorodkov, Ulrich Brehm, Wolfgang Kühnel
2 Comments
ICM 2022 awarding ceremonies (1)
Hugo Duminil-Copin, June Huh, James Maynard and Maryna Viazovska were awarded the Fields Medal 2022 and Mark Braverman was awarded the Abacus Medal 2022. I am writing from Helsinki where I attended the meeting of the General Assembly of the … Continue reading
Richard Stanley: Enumerative and Algebraic Combinatorics in the1960’s and 1970’s
In his comment to the previous post by Igor Pak, Joe Malkevitch referred us to a wonderful paper by Richard Stanley on enumerative and algebraic combinatorics in the 1960’s and 1970’s. See also this post on Richard’s memories regarding the … Continue reading
Igor Pak: How I chose Enumerative Combinatorics
Originally posted on Igor Pak's blog:
Apologies for not writing anything for awhile. After Feb 24, the math part of the “life and math” slogan lost a bit of relevance, while the actual events were stupefying to the point…
Oliver Janzer and Benny Sudakov Settled the Erdős-Sauer Problem
Norbert Sauer The news in brief: In the new paper Resolution of the Erdős-Sauer problem on regular subgraphs Oliver Janzer and Benny Sudakov proved that any graph G with vertices and more than edges contains a k-regular subgraph. This bound … Continue reading
Past and Future Events
Quick announcements of past (recorded) and future events 1) Shachar Lovett was the Erdos Speaker for 2022 and his great talks are recorded. (Lecture 1, Tensor ranks and their applications lecture 2, The monomial structure of Boolean functions, lecture 3, … Continue reading
Posted in Combinatorics, Conferences, Convexity, Geometry, Quantum
Leave a comment
Combinatorics and more 