16 citations · 22 across the 7 of their papers we have counts for
5 papers · 1 filter
Matroids of Gain Signed Graphs
Laura Anderson, Ting Su, Thomas Zaslavsky
A signed graph has edge signs. A gain graph has oriented edge gains drawn from a group. We define the combination of the two for the abelian case, in which each oriented edge of a…
Hyperfield Grassmannians
James F. Davis, Laura Anderson
In a recent paper Baker and Bowler introduced matroids over hyperfields, offering a common generalization of matroids, oriented matroids, and linear subspaces of based vector space…
Vectors of matroids over tracts
Laura Anderson
We enrich Baker and Bowler's theory of matroids over tracts with notions of vectors and covectors. In the case of oriented matroids, these -vectors and -covectors coincide wi…
Foundations for a theory of complex matroids
Laura Anderson, Emanuele Delucchi
We explore a combinatorial theory of linear dependency in complex space, "complex matroids", with foundations analogous to those for oriented matroids. We give multiple equivalent…
Homotopy sphere representations for matroids
Laura Anderson
For any rank oriented matroid , a construction is given of a "topological representation" of by an arrangement of homotopy spheres in a simplicial complex which is homot…