3 papers
math.CO2026
Classification of strictly resistance nonnegative graphs
Hailey Jay Garcia
We say that a graph is resistance nonnegative or RN if it admits a positive edge-weight that yields nonnegative resistance curvature in the sense of Devriendt and Lambiotte. Analog…
math.CO2026
On some structural properties of graphs with non-negative resistance curvature
Gyaneshwar Agrahari, Christin Bibby, Sean Boros +3
A graph is called resistance nonnegative (RN), respectively resistance positive (RP), if it admits positive edge weights such that all vertex resistance curvatures are nonnegative,…
math.GT2024
Non-orientable 4-genus of torus knots
Megan Fairchild, Hailey Jay Garcia, Jake Murphy +1
The non-orientable 4-genus of a knot in , denoted , measures the minimum genus of a non-orientable surface in bounded by . We compute bounds for the n…