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math.CO2026
The Orlik--Solomon algebra of a locally geometric poset and cohomology of complex abelian arrangements
Christin Bibby, Peter Ramsey
We construct an Orlik--Solomon algebra for any locally geometric poset as a natural generalization of the one for geometric lattices. This algebra has several interesting features,…
math.CO2026
On some structural properties of graphs with non-negative resistance curvature
Gyaneshwar Agrahari, Christin Bibby, Sean Boros +4
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,…