3 papers
math.GR2026
Determining the group that sends each Legendre pair to an equivalent Legendre pair
Dursun Bulutoglu, Daniel Baczkowski, Joshua Yauney
In this paper we determine the structure of the group of all operations that send each Legendre pair to an equivalent Legendre pair.
cs.DS2026
Parallelizing the branch-and-bound with isomorphism pruning algorithm for classifying orthogonal arrays
Dursun Bulutoglu
We provide a method for parallelizing the branch-and-bound with isomorphism pruning algorithm developed by Margot [Symmetric ILP: Coloring and small integers, Discrete Optimization…
math.CO2025
Decimation classes of nonnegative integer vectors using multisets
Daniel M. Baczkowski, Dursun A. Bulutoglu
We describe how previously known methods for determining the number of decimation classes of density binary vectors can be extended to nonnegative integer vectors, where the v…