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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
Lifting methods in mass partition problems
Pablo Soberón, Yuki Takahashi
Many results in mass partitions are proved by lifting to a higher-dimensional space and dividing the higher-dimensional space into pieces. We extend such methods to…