2 papers
math.CO2026
Degeneracy: From Graphs to Matroids
Allan Bickle, James Dylan Douthitt, Wayne Ge +1
A graph is -degenerate if every subgraph has a vertex of degree at most . We extend this notion to matroids, defining a loopless matroid to be -degenerate if every res…
math.CO2026
The connected binary matroids with a pair of elements in no non-spanning circuits
Wayne Ge, James Oxley, Jagdeep Singh
Let be a simple connected binary matroid, and let and be distinct elements of . It is well known that, when the only circuits containing are spanning, is a c…