3 papers
math.CO2025
From the Finite to the Infinite: Sharper Asymptotic Bounds on Norin's Conjecture via SAT
Markus Kirchweger, Tomáš Peitl, Bernardo Subercaseaux +1
Norin (2008) conjectured that any -edge-coloring of the hypercube in which antipodal edges receive different colors must contain a monochromatic path between some pair of…
cs.LO2025
Breaking Symmetries in Quantified Graph Search: A Comparative Study
Mikoláš Janota, Markus Kirchweger, Tomáš Peitl +1
Graph generation and enumeration problems often require handling equivalent graphs -- those that differ only in vertex labeling. We study how to extend SAT Modulo Symmetries (SMS),…
cs.AI2025
Smart Cubing for Graph Search: A Comparative Study
Markus Kirchweger, Hai Xia, Tomáš Peitl +1
Parallel solving via cube-and-conquer is a key method for scaling SAT solvers to hard instances. While cube-and-conquer has proven successful for pure SAT problems, notably the Pyt…