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- Algorithmic Game Theory: Past, Present, and Future
- Richard Stanley: Enumerative and Algebraic Combinatorics in the1960’s and 1970’s
- Igor Pak: How I chose Enumerative Combinatorics
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- Noga Alon and Udi Hrushovski won the 2022 Shaw Prize
- Oliver Janzer and Benny Sudakov Settled the Erdős-Sauer Problem
- Past and Future Events
- Joshua Hinman proved Bárány’s conjecture on face numbers of polytopes, and Lei Xue proved a lower bound conjecture by Grünbaum.
- Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
Top Posts & Pages
- Algorithmic Game Theory: Past, Present, and Future
- Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
- The Argument Against Quantum Computers - A Very Short Introduction
- Oliver Janzer and Benny Sudakov Settled the Erdős-Sauer Problem
- Combinatorics, Mathematics, Academics, Polemics, ...
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- Richard Stanley: Enumerative and Algebraic Combinatorics in the1960’s and 1970’s
- TYI 30: Expected number of Dice throws
- Amazing! Keith Frankston, Jeff Kahn, Bhargav Narayanan, Jinyoung Park: Thresholds versus fractional expectation-thresholds
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Monthly Archives: August 2017
Micha Perles’ Geometric Proof of the Erdos-Sos Conjecture for Caterpillars
A geometric graph is a set of points in the plane (vertices) and a set of line segments between certain pairs of points (edges). A geometric graph is simple if the intersection of two edges is empty or a vertex … Continue reading
Touching Simplices and Polytopes: Perles’ argument
Joseph Zaks (1984), picture taken by Ludwig Danzer (OberWolfach photo collection) The story I am going to tell here was told in several places, but it might be new to some readers and I will mention my own angle, … Continue reading
Posted in Combinatorics, Convex polytopes, Geometry, Open problems
Tagged Joseph Zaks, Micha A. Perles
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Where were we?
I was slow blogging, and catching up won’t be so easy. Of course, this brings me back to the question of what I should blog about. Ideally, I should tell you about mathematical things I heard about. The problem is … Continue reading