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Gröbner Bases for Complete Uniform Families
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ronyai, Gábor Hegedűs Lajos Rónyai |
| Copyright Year | 2003 |
| Abstract | We describe (reduced) Gröbner bases of the ideal of polynomials over a field, which vanish on the set of characterisic vectors of the complete unifom families ([n] d ). An interesting feature of the results is that they are largely independent of the monomial order selected. The bases depend only on the ordering of the variables. We can thus use past results related to the lex order in the presence of degree-compatible orders, such as deglex. As applications, we give simple proofs of some known results on incidence matrices. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/JACO/Volume17_2/nwq066v50g8u3041.fulltext.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Base Gröbner basis Incidence matrix Lex (software) Monomial order Polynomial |
| Content Type | Text |
| Resource Type | Article |