Longest and Shortest Factorizations in Embedding Dimension Three

Baian Liu, JiaYan Yap

For a numerical monoid $⟨n_1,\dots ,n_k⟩$ minimally generated by $n_1,\dots ,n_k\in \mathbb{N}$ with $n_1<\cdots <n_k$, the longest and shortest factorization l…