@article{Adams_Hall_Stucky_2019, title={Classifications of ℓ-Zero-Sumfree Sets}, volume={2}, url={https://journals.calstate.edu/pump/article/view/1805}, abstractNote={<div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p>The set of all ℓ-zero-sumfree subsets of <em>ℤ/nℤ</em> is a simplicial complex denoted by <em>Δ<sub>n, ℓ</sub></em>. We create an algorithm via defining a set of integer partitions we call <em>(n,ℓ)</em>-congruent partitions in order to compute this complex for moderately-sized parameters <em>n</em> and ℓ. We also theoretically determine <em>Δ<sub>n, ℓ</sub></em> for several infinite families of parameters, and compute the intersection posets and the characteristic polynomials of the corresponding coordinate subspace arrangements.</p> <div class="page" title="Page 1"> </div> </div> </div> </div>}, journal={The PUMP Journal of Undergraduate Research}, author={Adams, Ashleigh and Hall, Carole and Stucky, Eric}, year={2019}, month={Sep.}, pages={179-198} }