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math.CO2026
The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs
Sebastian Pardo-Guerra, Anil Thapa, Jonathan Washburn
Let be a finite connected simple graph with a chosen orientation of its edges. For the edge potential we minimize over each affine c…
cs.IT2026★ 1 cited
Coherent Comparison as Information Cost: A Cost-First Ledger Framework for Discrete Dynamics
Sebastian Pardo-Guerra, Megan Simons, Anil Thapa +1
We develop an information-theoretic framework for discrete dynamics grounded in a comparison-cost functional on ratios. Given two quantities compared via their ratio \(x=a/b\), we…