3 papers
math.NT2021
Frobenius templates in certain matrix rings
Timothy Eller, Jakub Kraus, Yuki Takahashi +1
The classical Frobenius problem is to find the largest integer that cannot be written as a linear combination of a given set of positive, coprime integers using nonnegative integer…
math.CO2021
Graphs with prescribed radius, diameter, and center
Kelly Guest, Andrew Johnson, Peter Johnson +3
Among other things, it is shown that for every pair of positive integers , , satisfying , and every finite simple graph there is a connected graph with…
math.CO2021
Topology of augmented Bergman complexes
Elisabeth Bullock, Aidan Kelley, Victor Reiner +6
The augmented Bergman complex of a matroid is a simplicial complex introduced recently in work of Braden, Huh, Matherne, Proudfoot and Wang. It may be viewed as a hybrid of two wel…