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The maximum hook length of -distinct simultaneous core partitions
Ethan Pesikoff, Benjamin Przybocki, Janabel Xia
We exactly determine the maximum possible hook length of -core partitions with -distinct parts when there are finitely many such partitions. Moreover, we provide an algor…
Irreducibility over the Max-Min Semiring
Benjamin Baily, Justine Dell, Henry L. Fleischmann +4
For sets , their sumset is . If we cannot write a set as with , then we say that is $\tex…
Distinct Angle Problems and Variants
Henry L. Fleischmann, Hongyi B. Hu, Faye Jackson +4
The Erdős distinct distance problem is a ubiquitous problem in discrete geometry. Less well known is Erdős' distinct angle problem, the problem of finding the minimum number of dis…
Optimal Point Sets Determining Few Distinct Angles
Henry L. Fleischmann, Steven J. Miller, Eyvindur A. Palsson +2
We characterize the largest point sets in the plane which define at most 1, 2, and 3 angles. For the largest size of a point set admitting at most angles, we prove $P(2)…