Abstract
We introduce a specialization technique in order to study monomial ideals that are generated in degree two by using our earlier results about Ferrers ideals. It allows us to describe explicitly a cellular minimal free resolution of various ideals including any strongly stable and any squarefree strongly stable ideal whose minimal generators have degree two. In particular, this shows that threshold graphs can be obtained as specializations of Ferrers graphs, which explains their similar properties.
| Original language | English |
|---|---|
| Pages (from-to) | 425-437 |
| Number of pages | 13 |
| Journal | Journal of Algebraic Combinatorics |
| Volume | 28 |
| Issue number | 3 |
| DOIs | |
| State | Published - Nov 2008 |
Bibliographical note
Funding Information:Acknowledgements The authors would like to thank Vic Reiner for inspiring discussions and the anonymous referees for their careful reading of the original manuscript. Uwe Nagel gratefully acknowledges partial support from the NSA under grant H98230-07-1-0065.
Funding
Acknowledgements The authors would like to thank Vic Reiner for inspiring discussions and the anonymous referees for their careful reading of the original manuscript. Uwe Nagel gratefully acknowledges partial support from the NSA under grant H98230-07-1-0065.
| Funders | Funder number |
|---|---|
| National Security Agency | H98230-07-1-0065 |
| National Security Agency |
Keywords
- Cellular minimal free resolution
- Ferrers graphs
- Monomial (edge) ideals
- Threshold graphs
ASJC Scopus subject areas
- Algebra and Number Theory
- Discrete Mathematics and Combinatorics
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