The Möbius function of permutations with an indecomposable lower bound |
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Authors: | R Brignall D Marchant |
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Institution: | School of Mathematics and Statistics, The Open University, Milton Keynes, MK7 6AA, UK |
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Abstract: | We show that the Möbius function of an interval in a permutation poset where the lower bound is sum (resp. skew) indecomposable depends solely on the sum (resp. skew) indecomposable permutations contained in the upper bound, and that this can simplify the calculation of the Möbius sum. For increasing oscillations, we give a recursion for the Möbius sum which only involves evaluating simple inequalities. |
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Keywords: | Combinatorics Poset Möbius |
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