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totallydisconnected.wordpress.com | ||
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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 $latex C_5$... | |
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quomodocumque.wordpress.com
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| | | | | As the old joke goes, "Who's that guy next to Mazur?" Barry Mazur, my Ph.D. advisor, was awarded the National Medal of Science last week. It's hard to overstate the extent to which his work and his outlook have affected the direction of number theory. And of course my own way of doing math is... | |
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mikespivey.wordpress.com
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| | | | | It's fairly well-known, to those who know it, that $latex \displaystyle \left(\sum_{k=1}^n k \right)^2 = \frac{n^2(n+1)^2}{4} = \sum_{k=1}^n k^3 $. In other words, the square of the sum of the first n positive integers equals the sum of the cubes of the first n positive integers. It's probably less well-known that a similar relationship holds... | |
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bluebirdofbitterness.com
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| | | Reblogged on WordPress.com | ||
