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dominiczypen.wordpress.com | ||
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thehighergeometer.wordpress.com
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| | | | | Here's a fun thing: if you want to generate a random finite $latex T_0$ space, instead select a random subset from $latex \mathbb{S}^n$, the $latex n$-fold power of the Sierpinski space $latex \mathbb{S}$, since every $latex T_0$ space embeds into some (arbitrary) product of copies of the Sierpinski space. (Recall that $latex \mathbb{S}$ has underlying... | |
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nickhar.wordpress.com
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| | | | | The algorithm for probabilistically embedding metric spaces into trees has numerous theoretical applications. It is a key tool in the design of many approximation algorithms and online algorithms. Today we will illustrate the usefulness of these trees in designing an algorithm for the online Steiner tree problem. 1. Online Steiner Tree Let $latex {G=(V,E)}&fg=000000$ be... | |
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algorithmsoup.wordpress.com
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| | | | | In this post, I want to tell you about what I think might be the world's simplest interesting algorithm. The vertex cover problem. Given a graph $latex {G = (V, E)}&fg=000000$, we want to find the smallest set of vertices $latex {S \subseteq V}&fg=000000$ such that every edge $latex {e \in E}&fg=000000$ is covered by... | |
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curiousterran.wordpress.com
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| | | Visit the post for more. | ||