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yufeizhao.com
| | www.jeremykun.com
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| | Graphs are among the most interesting and useful objects in mathematics. Any situation or idea that can be described by objects with connections is a graph, and one of the most prominent examples of a real-world graph that one can come up with is a social network. Recall, if you aren't already familiar with this blog's gentle introduction to graphs, that a graph $ G$ is defined by a set of vertices $ V$, and a set of edges $ E$, each of which connects two vertices.
| | yufeizhao.wordpress.com
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| | Eyal Lubetzky and I just finished and uploaded to the arXiv our new paper On the variational problem for upper tails of triangle counts in sparse random graphs. This paper concerns the following question: The upper tail problem for triangles. What is the probability that the number of triangles in an Erd?s-Rényi graph graph $latex...
| | anuragbishnoi.wordpress.com
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| | Finite geometry is often used to construct graphs with certain extremal properties. For example, the Norm graphs are one of the best-known constructions in extremal graph theory (see this for a geometrical description of these graphs). Similarly, generalized polygons, and their substructures, give various constructions in Ramsey theory, the degrtocee-diameter problem, and the (bipartite) forbidden...
| | www.allthingsdistributed.com
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| Amazon Sagemaker enables data scientists and developers to quickly and easily build, train, and deploy ML models without getting mired in the challenges that slow this process down today.