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Advances and Applications in Discrete Mathematics

Advances and Applications in Discrete Mathematics
Volume 28, Issue 2, Pages 311 - 318 (November 2021)
http://dx.doi.org/10.17654/DM028020311

ON A CLASS OF SEMIMODULAR POSETS

Yonah Cherniavsky

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.

Keywords and phrases:

Gorenstein* poset, EL-shellability, Eulerian poset.

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