Lattice Paths and Order-preserving Partial Transformations

zbMath1376.20061arXiv1304.7574MaRDI QIDQ2981109

Abdullahi Umar, Abdallah Laradji

Publication date: 8 May 2017

Full work available at URL: https://arxiv.org/abs/1304.7574

zbMATH Keywords

Catalan numbersemigrouplattice pathSchröder numbersubsemigroupcentral Delannoy numberpartial order-preserving transformationpartial order-decreasing transformation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Semigroups of transformations, relations, partitions, etc. (20M20) Inverse semigroups (20M18)

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Fixed points of order-preserving transformations

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