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Recent Posts
- 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
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- Combinatorics, Mathematics, Academics, Polemics, ...
- 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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Tag Archives: Convexity
Igor Pak’s “Lectures on Discrete and Polyhedral Geometry”
Here is a link to Igor Pak’s book on Discrete and Polyhedral Geometry (free download) . And here is just the table of contents. It is a wonderful book, full of gems, contains original look on many important directions, things that … Continue reading
Posted in Book review, Convex polytopes, Convexity
Tagged Convex polytopes, Convexity, Igor Pak, rigidity
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Five Open Problems Regarding Convex Polytopes
The problems 1. The conjecture A centrally symmetric d-polytope has at least non empty faces. 2. The cube-simplex conjecture For every k there is f(k) so that every d-polytope with has a k-dimensional face which is either a simplex … Continue reading