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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...
| | gilkalai.wordpress.com
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| | A geometric graph is a set of points in the plane (vertices) and a set of line segments between certain pairs of points (edges). A geometric graph is simple if the intersection of two edges is empty or a vertex of both. A geometric graph is convex if the vertices are in convex position. A...
| | 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
| | thekittymaths.wordpress.com
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| A Compendium of Cool Internet Math Things