109 citations · 514 across the 38 of their papers we have counts for
48 papers
The Jacobian of a Sixth-Root-of-Unity Matroid
Matthew Baker, Changxin Ding, Xu Zhuang
The Jacobian group (also called the sandpile group, Picard group, or critical group) of a graph or, more generally, of a regular matroid has been well studied. Sixth-root-of-unity…
Representability of orthogonal matroids over partial fields
Matthew Baker, Tong Jin
Let be nonnegative integers, and let . For a matroid of rank on the finite set and a partial field in the sense of Sempl…
On some notions of rank for matrices over tracts
Matthew Baker, Noah Solomon, Tianyi Zhang
Given a tract in the sense of Baker and Bowler and a matrix with entries in , we define several notions of rank for . In this way, we are able to unify and find conce…
On the Existence of Balanced Generalized de Bruijn Sequences
Matthew Baker, Bhumika Mittal, Haran Mouli +1
A balanced generalized de Bruijn sequence with parameters is a cyclic sequence of bits such that (a) the number of 0's equals the number of 1's, and (b) each substrin…
Lift theorems for representations of matroids over pastures
Matthew Baker, Oliver Lorscheid
Pastures are a class of field-like algebraic objects which include both partial fields hyperfields and have nice categorical properties. We prove several lift theorems for represen…
Fusion rules for pastures and tracts
Matthew Baker, Tianyi Zhang
Baker and Bowler defined a category of algebraic objects called tracts which generalize both partial fields and hyperfields. They also defined a notion of weak and strong matroids…