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Pakistan In Control In The Test Match


The series opener between England and Pakistan is now into its third day of play. This post looks at developments in that match so far. 940 more words


Creating H-Free Graphs with many edges

In this post, I will talk about an interesting and simple technique one can use to create graphs with many edges but with a forbidden subgraph. 670 more words


Finding the Fibonacci Numbers: The Formula

This is the third post in a series about an exact formula for the Fibonacci numbers, , which are defined by the initial values and the recurrence relation . 949 more words

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A subgroup has equally many left and right cosets



We prove that a subgroup has the same number of left and right cosets.


Open Mathematics Collaboration

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Maximal algebraic connectivity among graphs of bounded degree

The algebraic connectivity of a graph is its smallest nontrivial Laplacian eigenvalue. Equivalently, it is the minimum of edge sums over all functions normalized by and . 550 more words