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Discrete Mathematics & Theoretical Computer Science |
We present an extensive study of the Eulerian distribution on the set of centrosymmetric involutions, namely, involutions in S(n) satisfying the property sigma(i) + sigma(n + 1 - i) = n + 1 for every i = 1 ... n. We find some combinatorial properties for the generating polynomial of such distribution, together with an explicit formula for its coefficients. Afterwards, we carry out an analogous study for the subset of centrosymmetric involutions without fixed points.
Source : ScholeXplorer
IsRelatedTo ARXIV 0910.2376 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.0910.2376
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