Lê numbers of arrangements and matroid identities
<p>We present several new polynomial identities associated with matroids and geometric lattices and relate them to formulas for the characteristic polynomial and the Tutte polynomial. The identities imply a formula for the Lê numbers of complex hyperplane arrangements.</p>
| Hlavní autoři: | , , , , , |
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| Další autoři: | |
| Médium: | Journal article |
| Jazyk: | English |
| Vydáno: |
Elsevier
1997
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| Témata: |
| _version_ | 1826267077880578048 |
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| author | Massey, D Simion, R Stanley, R Vertigan, D Welsh, D Ziegler, G |
| author2 | Academic Press |
| author_facet | Academic Press Massey, D Simion, R Stanley, R Vertigan, D Welsh, D Ziegler, G |
| author_sort | Massey, D |
| collection | OXFORD |
| description | <p>We present several new polynomial identities associated with matroids and geometric lattices and relate them to formulas for the characteristic polynomial and the Tutte polynomial. The identities imply a formula for the Lê numbers of complex hyperplane arrangements.</p> |
| first_indexed | 2024-03-06T20:48:41Z |
| format | Journal article |
| id | oxford-uuid:36d1593a-4cd7-4569-a0dc-4fc24e1a0f07 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:48:41Z |
| publishDate | 1997 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:36d1593a-4cd7-4569-a0dc-4fc24e1a0f072022-03-26T13:40:16ZLê numbers of arrangements and matroid identitiesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:36d1593a-4cd7-4569-a0dc-4fc24e1a0f07CombinatoricsEnglishOxford University Research Archive - ValetElsevier1997Massey, DSimion, RStanley, RVertigan, DWelsh, DZiegler, GAcademic Press<p>We present several new polynomial identities associated with matroids and geometric lattices and relate them to formulas for the characteristic polynomial and the Tutte polynomial. The identities imply a formula for the Lê numbers of complex hyperplane arrangements.</p> |
| spellingShingle | Combinatorics Massey, D Simion, R Stanley, R Vertigan, D Welsh, D Ziegler, G Lê numbers of arrangements and matroid identities |
| title | Lê numbers of arrangements and matroid identities |
| title_full | Lê numbers of arrangements and matroid identities |
| title_fullStr | Lê numbers of arrangements and matroid identities |
| title_full_unstemmed | Lê numbers of arrangements and matroid identities |
| title_short | Lê numbers of arrangements and matroid identities |
| title_sort | le numbers of arrangements and matroid identities |
| topic | Combinatorics |
| work_keys_str_mv | AT masseyd lenumbersofarrangementsandmatroididentities AT simionr lenumbersofarrangementsandmatroididentities AT stanleyr lenumbersofarrangementsandmatroididentities AT vertigand lenumbersofarrangementsandmatroididentities AT welshd lenumbersofarrangementsandmatroididentities AT zieglerg lenumbersofarrangementsandmatroididentities |