4 papers
Adjoints of Morphisms of Neural Codes
Juliann Geraci, Alexander B. Kunin, Alexandra Seceleanu
A combinatorial code is a collection of subsets of , or equivalently a set of points in . A morphism of codes is a map from one combinatorial code to…
Boolean Rank via Monomial Ideals
Juliann Geraci, Alexander B. Kunin, Alexandra Seceleanu
Boolean matrix factorization (BMF) has many applications in data mining, bioinformatics, and network analysis. The goal of BMF is to decompose a given binary matrix as the Boolean…
Products and powers of principal symmetric ideals
Eric Dannetun, Riccardo Formenti, Bo Y. Gao +8
Principal symmetric ideals were recently introduced by Harada, Seceleanu, and Sega, with a focus on their homological properties. They are ideals generated by the orbit of a single…
Graph Universal Cycles of Combinatorial Objects
Amelia Cantwell, Juliann Geraci, Anant Godbole +1
A connected digraph in which the in-degree of any vertex equals its out-degree is Eulerian; this baseline result is used as the basis of existence proofs for universal cycles (also…