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Conference papers
Divisors on graphs, Connected flags, and Syzygies
Abstract : We study the binomial and monomial ideals arising from linear equivalence of divisors on graphs from the point of view of Gröbner theory. We give an explicit description of a minimal Gröbner basis for each higher syzygy module. In each case the given minimal Gröbner basis is also a minimal generating set. The Betti numbers of $I_G$ and its initial ideal (with respect to a natural term order) coincide and they correspond to the number of ``connected flags'' in $G$. Moreover, the Betti numbers are independent of the characteristic of the base field.
Cited literature [22 references]
https://hal.inria.fr/hal-01229678
Contributor : Alain Monteil Connect in order to contact the contributor
Submitted on : Tuesday, November 17, 2015 - 10:19:47 AM
Last modification on : Wednesday, March 9, 2022 - 3:12:02 PM
Long-term archiving on: : Thursday, February 18, 2016 - 11:36:33 AM
Contributor : Alain Monteil Connect in order to contact the contributor
Submitted on : Tuesday, November 17, 2015 - 10:19:47 AM
Last modification on : Wednesday, March 9, 2022 - 3:12:02 PM
Long-term archiving on: : Thursday, February 18, 2016 - 11:36:33 AM
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