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Mathematics

 
 

Recent Submissions

  • Algebraic and combinatorial aspects of polytopes and domino tilings 
    Yamzon, Nicole (San Francisco State University, 2019)
    Two classical objects of study in combinatorics are polytopes and domino tilings. In the 1990s William Thurston proved that the set of domino tilings of a simply- connected region is connected by flips. The first part of ...
  • Spectra of tropical Laplacians of classical root polytopes 
    Perez, Maria Isabel (San Francisco State University, 2019)
    Farhad Babaee and June Huh introduced the tropical Laplacian of a tropical surface and used it to disprove a generalized Hodge conjecture. We study four families of tropical surfaces arising from the root polytopes of ...
  • Ehrhart quasipolynomials of coxeter permutahedra 
    McWhirter, Jodi (San Francisco State University, 2019)
    The Ehrhart polynomial counts lattice points in a dilated lattice polytope. The Ehrhart polynomials of permutahedra of types A, B, C, and D have been calculated by Federico Ardila, Federico Castillo, and Michael Henley ...
  • Understanding the complexity of the domain of approximation of a rational tuple 
    Knitter, Oliver Y. (San Francisco State University, 2019)
    In continued fraction theory, a convergent is an irreducible rational number that best approximates a particular real number when compared to all rationals of smaller denominator. Generalizing this definition to include ...
  • Computational verification of the cone conjecture 
    Chan, Tsz Leong (San Francisco State University, 2018)
    The set of polyhedral pointed rational cones form a partially ordered set with respect to elementary additive extensions of certain type. This poset captures a global picture of the interaction of all possible rational ...