2 citations · 3 across the 5 of their papers we have counts for
11 papers
Burning Graph Classes
Mohamed Omar, Vibha Rohilla
The Burning Number Conjecture, that a graph on vertices can be burned in at most rounds, has been of central interest for the past several years. Muc…
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…
On Distinct Distances Between a Variety and a Point Set
Bryce McLaughlin, Mohamed Omar
We consider the problem of determining the number of distinct distances between two point sets in where one point set of size lies on a real alge…
Lattice point visibility on power functions
Pamela E. Harris, Mohamed Omar
It is classically known that the proportion of lattice points visible from the origin via functions of the form with is where is…