9 citations · 13 across the 9 of their papers we have counts for
11 papers
Smooth connectivity in real algebraic varieties
Joseph Cummings, Jonathan D. Hauenstein, Hoon Hong +1
A standard question in real algebraic geometry is to compute the number of connected components of a real algebraic variety in affine space. By adapting an approach for determining…
Reciprocals of thinned exponential series
David Galvin, John Engbers, Clifford Smyth
The reciprocal of has a power series about in which all coefficients are non-negative. Gessel [Reciprocals of exponential polynomials and permutation enumeration, Aust…
Certified evaluations of Hölder continuous functions at roots of polynomials
Parker B. Edwards, Jonathan D. Hauenstein, Clifford D. Smyth
Various methods can obtain certified estimates for roots of polynomials. Many applications in science and engineering additionally utilize the value of functions evaluated at roots…
Weighted Persistent Homology
Greg Bell, Austin Lawson, Joshua Martin +2
We introduce weighted versions of the classical Čech and Vietoris-Rips complexes. We show that a version of the Vietoris-Rips Lemma holds for these weighted complexes and that they…
Restricted Stirling and Lah number matrices and their inverses
John Engbers, David Galvin, Clifford Smyth
Given let , , and be the number of ways of partitioning the set into non-empty subsets, cycles and lis…
On randomly generated intersecting hypergraphs II
Tom Bohman, Alan Frieze, Ryan R. Martin +2
Let be a positive constant. Suppose that and the members of are chosen sequentially at random to form an intersecting hypergraph .…