Advances and Applications in Discrete Mathematics
Volume 28, Issue 2, Pages 311 - 318
(November 2021) http://dx.doi.org/10.17654/DM028020311 |
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ON A CLASS OF SEMIMODULAR POSETS
Yonah Cherniavsky
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Abstract: We show that every finite graded totally semimodular poset is EL-shellable. Furthermore, we show that if in a finite graded totally semimodular poset, every interval of length 2 is a diamond, then the poset is Eulerian.
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Keywords and phrases: Gorenstein* poset, EL-shellability, Eulerian poset.
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