ResearchBenchmarksElementary Shortest Path with Negative Cycles on Erdős-Rényi (ER) graphs n=500Elementary Shortest Path with Negative Cycles on Erdős-Rényi (ER) graphs n=500Follow-395.11Best Path CostNCP-410.6508-305.7504-200.85-95.9496Jul 1, 2026Evaluation resultsMethodMethodLinksBest Path CostTime (s)NCP2026.07-395.113.4LP+Dec.2026.07-259.34.89Beam-256beam size=256beam size=2562026.07-161.1330.05Beam-512beam size=512beam size=5122026.07-138.0530.04Erdos2026.07-6.590.11