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yufeizhao.wordpress.com
| | yufeizhao.com
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| | Ben Gunby's new paper determining the large deviation rate for sparse random regular graphs.
| | jeremykun.wordpress.com
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| | Define the Ramsey number $ R(k,m)$ to be the minimum number $ n$ of vertices required of the complete graph $ K_n$ so that for any two-coloring (red, blue) of the edges of $ K_n$ one of two things will happen: There is a red $ k$-clique; that is, a complete subgraph of $ k$...
| | gowers.wordpress.com
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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
| | vitalyobukhov.wordpress.com
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