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- Title
REGULARITY AND GRÖBNER BASES OF THE REES ALGEBRA OF EDGE IDEALS OF BIPARTITE GRAPHS.
- Authors
CID-RUIZ, YAIRON
- Abstract
Let G be a bipartite graph and I = I(G) be its edge ideal. The aim of this note is to investigate different aspects of the Rees algebra R(I) of I. We compute its regularity and the universal Gröbner basis of its defining equations; interestingly, both of them are described in terms of the combinatorics of G. We apply these ideas to study the regularity of the powers of I. For any s ≥ match(G)+|E(G)|+1 we prove that reg(Is+1) = reg(Is)+2.
- Subjects
GROBNER bases; BIPARTITE graphs; POLYNOMIAL rings; INTEGERS; PARTITIONS (Mathematics)
- Publication
Le Matematiche, 2018, Vol 73, Issue 2, p279
- ISSN
0373-3505
- Publication type
Article
- DOI
10.4418/2018.73.2.4