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math.OC2026
Characterizations and Complexity of Minimum Forward and Integer Cycle Bases
Gabor Riccardi, Niels Lindner
The cycle space of a directed graph is generated by a cycle basis, where, in general, cycles are allowed to have both forward and backward arcs. In a forward cycle, all arcs must f…
math.OC2026
Theoretical Perspectives on Jabr-Type Convex Relaxations for AC Optimal Power Flow
Gabor Riccardi, Ambrogio Maria Bernardelli, Stefano Gualandi
The alternating current optimal power flow problem is a fundamental yet highly nonconvex optimization problem whose structure reflects both nonlinear power flow physics and the top…