David C. Luo

collaborators

2 papers

math.GT2019

Gordian Adjacency for Positive Braid Knots

Tolson H. Bell, David C. Luo, Luke Seaton +1

A knot $K_{1}$ is said to be Gordian adjacent to a knot $K_{2}$ if $K_{1}$ is an intermediate knot on an unknotting sequence of $K_{2}$ . We extend previous results on Gordian adjacency by…

math.NT2018

Generalizing the Abundancy of an Integer

David C. Luo

The abundancy index of a positive integer is the ratio between the sum of its divisors and itself. We generalize previous results on abundancy indices by defining a two-variable ab…