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Binomial edge ideals of cographs

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 نشر من قبل Thomas Kahle
 تاريخ النشر 2019
  مجال البحث
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We determine the Castelnuovo-Mumford regularity of binomial edge ideals of complement reducible graphs (cographs). For cographs with $n$ vertices the maximum regularity grows as $2n/3$. We also bound the regularity by graph theoretic invariants and construct a family of counterexamples to a conjecture of Hibi and Matsuda.



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