Path Counting and Rank Gaps in Differential Posets
Abstract We study the gaps Δpn between consecutive rank sizes in r-differential posets by introducing a projection operator whose matrix entries can be expressed in terms of the number of certain paths in the Hasse diagram. We strengthen Miller’s result that Δpn ≥ 1, which resolved a longstanding c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Netherlands
2021
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| Online Access: | https://hdl.handle.net/1721.1/131754 |