Betti numbers of toric ideals of graphs: A case study Academic Article uri icon

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abstract

  • We compute the graded Betti numbers for the toric ideal of a family of graphs constructed by adjoining a cycle to a complete bipartite graph. The key observation is that this family admits an initial ideal which has linear quotients. As a corollary, we compute the Hilbert series and [Formula: see text]-vector for all the toric ideals of graphs in this family.

authors

  • Galetto, Federico
  • Hofscheier, Johannes
  • Keiper, Graham
  • Kohne, Craig
  • Van Tuyl, Adam
  • Paczka, Miguel Eduardo Uribe

publication date

  • December 2019