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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.

5 votes
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Is the choosability/list chromatic number of a circular arc graph equal to its chromatic num...

In 2003, Prowse and Woodall proved that for graphs $C_n^k$ which are powers of cycles, $$\chi_\ell(C_n^k) = \chi(C_n^k).$$ They conjectured that this equality holds for the broader class of graphs kno …
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