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11011110.github.io
| | dominiczypen.wordpress.com
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| | Suppose you want to have a graph $latex G = (V,E)$ with chromatic number $latex \chi(G)$ equaling some value $latex k$, such that $latex G$ is minimal with this property. So you end up with a $latex k$-(vertex-)critical graph. It is easy to construct critical graphs by starting with some easy-to-verify example like $latex C_5$...
| | 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$...
| | yufeizhao.com
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| | Resolution of Kahn's conjecture on the maximum number of independent sets in a graph with prescribed degree-degree distributions.
| | cardinalguzman.wordpress.com
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| Encyclopedia Miscellaneous - 'quality' blogging since August 2011