# Four Variations on Graded Posets

@inproceedings{Zhang2015FourVO, title={Four Variations on Graded Posets}, author={Y. X. Zhang}, year={2015} }

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… CONTINUE READING

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## On the Number of Fixed-Length Semiorders

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