Browsing by Author "Mermin, Jeffrey"

Now showing items 1-5 of 5

    • Computing generalized Frobenius powers of monomial ideals 

      Francisco, Christopher A; Mastroeni, Matthew; Mermin, Jeffrey; Schweig, Jay (2020-05-29)

    • Monomial resolutions 

      Alesandroni, Guillermo (2015-05)
      We construct the minimal resolutions of three classes of monomial ideals: dominant, 1-semidominant, and 2-semidominant ideals. The families of dominant and 1-semidominant ideals extend those of complete and almost complete ...

    • Poset shifted matroids and graphs 

      Mandlik, Nishad Devendra (2021-07)
      We generalize the notion of shiftedness in simplicial complexes, matroids, and graphs. Using this generalization, called $P$-shiftedness, we give a condition for a matroid to be transversal in terms of a poset $P$. Our ...

    • Symmetric Exchange Graphs of Polymatroids 

      Grigsby, Travis Montrell (2016-12-01)
      White has conjectured that the toric ideal of a matroid is generated by quadric binomials corresponding to symmetric basis exchanges. Herzog and Hibi made a similar conjecture for discrete polymatroids. In this paper we ...

    • Transformation of the Catalan Numbers and Related Counted Sets 

      Davis, William Anderson (2019-05)
      Borel's triangle is a triangular array of numbers constructed by a transformation of the Catalan numbers. By identifying natural bijections between them, we discuss several sets counted by Borel's triangle, including full ...