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math.CO2026
On some structural properties of graphs with non-negative resistance curvature
Gyaneshwar Agrahari, Christin Bibby, Sean Boros +3
The paper investigates graphs that admit edge weights yielding nonnegative or positive vertex resistance curvature, disproving several conjectures, providing examples of non‑tough…
math.CO2025
Matroid schemes and geometric posets
Christin Bibby
The intersection data of a hyperplane arrangement is described by a geometric lattice, or equivalently a simple matroid. There is a rich interplay between this combinatorial struct…
math.CO2024
Supersolvable posets and fiber-type abelian arrangements
Christin Bibby, Emanuele Delucchi
We present a combinatorial analysis of fiber bundles of generalized configuration spaces on connected abelian Lie groups. These bundles are akin to those of Fadell-Neuwirth for con…