3 citations · 6 across the 4 of their papers we have counts for
4 papers
On Occupancy Moments and Bloom Filter Efficiency
Jonathan Burns
Two multivariate committee distributions are shown to belong to Berg's family of factorial series distributions and Kemp's family of generalized hypergeometric factorial moment dis…
Genus Ranges of Chord Diagrams
Jonathan Burns, Nataša Jonoska, Masahico Saito
A chord diagram consists of a circle, called the backbone, with line segments, called chords, whose endpoints are attached to distinct points on the circle. The genus of a chord di…
Polynomial-Value Sieving and Recursively-Factorable Polynomials
Jonathan Burns
We identify a recursive structure among factorizations of polynomial values into two integer factors. Polynomials for which this recursive structure characterizes all non-trivial r…
Counting Irreducible Double Occurrence Words
Jonathan Burns, Tilahun Muche
A double occurrence word over a finite alphabet is a word in which each alphabet letter appears exactly twice. Such words arise naturally in the study of topology, graph th…