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Perfect Matchings, Catalan Numbers, and Pascal’ s Triangle (CROSBI ID 137906)
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Došlić, Tomislav
Perfect Matchings, Catalan Numbers, and Pascal’ s Triangle // Mathematics magazine, 80 (2007), 3; 219-226
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Došlić, Tomislav
engleski
Perfect Matchings, Catalan Numbers, and Pascal’ s Triangle
We present a simple combinatorial proof of a determinant formula connecting the Catalan numbers and a matrix derived from Pascal’ s triangle. We prove the formula by counting perfect matchings in a suitably chosen class of graphs.
perfect matching; Catalan number; Pascal triangle; benzenoid graph
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