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yufeizhao.wordpress.com
| | yufeizhao.com
1.3 parsecs away

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| | Resolution of Kahn's conjecture on the maximum number of independent sets in a graph with prescribed degree-degree distributions.
| | gowers.wordpress.com
2.1 parsecs away

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| | Here is a simple but important fact about bipartite graphs. Let $latex G$ be a bipartite graph with (finite) vertex sets $latex X$ and $latex Y$ and edge density $latex \alpha$ (meaning that the number of edges is $latex \alpha |X||Y|$). Now choose $latex (x_1,x_2)$ uniformly at random from $latex X^2$ and $latex (y_1,y_2)$ uniformly
| | anuragbishnoi.wordpress.com
2.8 parsecs away

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| | The Ramsey number $latex R(s, t)$ is the smallest $latex n$ such that every graph on $latex \geq n$ vertices either contains a clique of size $latex s$ or an independent set of size $latex t$. Ramsey's theorem implies that these numbers always exist, and determining them (precisely or asymptotically) has been a major challenge...
| | ropmann.wordpress.com
42.8 parsecs away

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