#exponential lower bounds

topicexponential lower bounds

2 papers · 1 filter

math.CO2026

Any Proof of Polynomial Hirsch Must be Completely Incoherent

Alexander E. Black, Lei Xue

The paper constructs families of polytopes for which every coherent monotone path induced by a linear function has exponential length, disproving a polynomial‑Hirsch‑type conjectur…

cs.CC2026

Tropical Circuits with Scalar Multiplication Gates

Christoph Hertrich, Moritz Stargalla

The paper studies tropical circuits that include scalar multiplication gates and proves exponential size lower bounds for computing maximum‑weight directed spanning trees and bipar…