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xenaproject.wordpress.com | ||
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yufeizhao.wordpress.com
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| | | | | Ashwin Sah Ashwin Sah just proved a new upper bound to diagonal Ramsey numbers. See his preprint on the arXiv. This is the first improvement since Conlon's upper bound published in Annals of Math in 2009, which in turn built on earlier work of Thomason (1988). Obtaining asymptotics of Ramsey numbers is perhaps the central... | |
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anuragbishnoi.wordpress.com
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| | | | | In the previous post, we saw the problem of determining the asymptotic growth of the function $latex T_L(n)$, which is the largest size of vector subspace $latex C \subseteq \mathbb{F}_3^n$, with the property that for any three distinct vectors $latex u, v, w$ in $latex C$, there is a coordinate $latex i$, such that $latex... | |
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anuragbishnoi.wordpress.com
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| | | | | Finite geometry is often used to construct graphs with certain extremal properties. For example, the Norm graphs are one of the best-known constructions in extremal graph theory (see this for a geometrical description of these graphs). Similarly, generalized polygons, and their substructures, give various constructions in Ramsey theory, the degrtocee-diameter problem, and the (bipartite) forbidden... | |
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rpihlgrenblog.wordpress.com
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| | | What's going to happen this year? Let's see what happens... | ||
