149 citations · 319 across the 56 of their papers we have counts for
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Symmetric tensor powers of graphs
Weymar Astaiza, Alexander J. Barrios, Henry Chimal-Dzul +5
The symmetric tensor power of graphs is introduced and its fundamental properties are explored. A wide range of intriguing phenomena occur when one considers symmetric tensor power…
Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups
Stephan Ramon Garcia, Christopher O'Neill, Gabe Udell
For numerical semigroups with three generators, we study the asymptotic behavior of weighted factorization lengths, that is, linear functionals of the coefficients in the factoriza…
Norms on complex matrices induced by complete homogeneous symmetric polynomials
Konrad Aguilar, Ángel Chávez, Stephan Ramon Garcia +1
We introduce a remarkable new family of norms on the space of complex matrices. These norms arise from the combinatorial properties of symmetric functions, and their c…
Factorization length distribution for affine semigroups III: modular equidistribution for numerical semigroups with arbitrarily many generators
Stephan Ramon Garcia, Mohamed Omar, Christopher O'Neill +1
For numerical semigroups with a specified list of (not necessarily minimal) generators, we describe the asymptotic distribution of factorization lengths with respect to an arbitrar…
Weighted Means of B-Splines, Positivity of Divided Differences, and Complete Homogeneous Symmetric Polynomials
Albrecht Boettcher, Stephan Ramon Garcia, Mohamed Omar +1
We employ the fact certain divided differences can be written as weighted means of B-splines and hence are positive. These divided differences include the complete homogeneous symm…
Factorization length distribution for affine semigroups II: asymptotic behavior for numerical semigroups with arbitrarily many generators
Stephan Ramon Garcia, Mohamed Omar, Christopher O'Neill +1
For numerical semigroups with a specified list of (not necessarily minimal) generators, we obtain explicit asymptotic expressions, and in some cases quasipolynomial/quasirational r…
Permutation invariant lattices
Lenny Fukshansky, Stephan Ramon Garcia, Xun Sun
We say that a Euclidean lattice in is permutation invariant if its automorphism group has non-trivial intersection with the symmetric group , i.e., if the lattic…