The universal Grobner basis of a binomial edge ideal

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Abstract

We show that the universal Grobner basis and the Graver basis of a binomial edge ideal coincide. We provide a description for this basis set in terms of certain paths in the underlying graph. We conjecture a similar result for a parity binomial edge ideal and prove this conjecture for the case when the underlying graph is the complete graph.
Original languageEnglish (Ireland)
JournalElectronic Journal Of Combinatorics
Volume24
Publication statusPublished - 1 Oct 2017

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Badiane, M;Burke, I;Skoldberg, E
  • Badiane, M,Burke, I,Skoldberg, E

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