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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
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Algorithm for finding a minimum weight circuit in a weighted binary matroid
For a given weighted graph $G = (V, E)$, there is a simple algorithm for finding the minimum weight circuit by running Dijkstra's algorithm $|E|$ times.
Also for a matroid $M = (E, I)$ one can use the …