31 citations · 208 across the 28 of their papers we have counts for
4 papers · 1 filter
The cotype zeta function of
Gautam Chinta, Nathan Kaplan, Shaked Koplewitz
We give an asymptotic formula for the number of sublattices of index at most for which has rank at most , answering a question of…
Counting Numerical Semigroups
Nathan Kaplan
A numerical semigroup is an additive submonoid of the natural numbers with finite complement. The size of the complement is called the genus of the semigroup. How many numerical se…
Representations of the Multicast Network Problem
Sarah E. Anderson, Wael Halbawi, Nathan Kaplan +4
We approach the problem of linear network coding for multicast networks from different perspectives. We introduce the notion of the coding points of a network, which are edges of t…
Counting Arithmetical Structures on Paths and Cycles
Benjamin Braun, Hugo Corrales, Scott Corry +6
Let be a finite, simple, connected graph. An arithmetical structure on is a pair of positive integer vectors such that $(\mathrm{diag}(\mathbf{d})-A…