Four variations on graded posets
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Publication:2803350
zbMATH Open1335.05015arXiv1508.00318MaRDI QIDQ2803350
Author name not available (Why is that?)
Publication date: 4 May 2016
Abstract: We explore the enumeration of some natural classes of graded posets, including all graded posets, (2+2)- and (3+1)-avoiding graded posets, (2+2)-avoiding graded posets, and (3+1)-avoiding graded posets. We obtain enumerative and structural theorems for all of them. Along the way, we discuss a situation when we can switch between enumeration of labeled and unlabeled objects with ease, generalize a result of Postnikov and Stanley from the theory of hyperplane arrangements, answer a question posed by Stanley, and see an old result of Klarner in a new light.
Full work available at URL: https://arxiv.org/abs/1508.00318
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