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A Two-Stage MaxSAT Reasoning Approach for the Maximum Weight Clique Problem

AAAI 2018 · Learning theory and algorithms › Combinatorial and search optimization · approach: Heuristic and local search algorithms · 26 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use TSM-MWC instead of MWCLQ and WLMCTSM-MWC · DIMACSgraphs solved: 66 vs 61 (MWCLQ) and 60 (WLMC)Helped
use TSM-MWC instead of WLMCTSM-MWC · MASSIVE (47 hard graphs)graphs solved: 47 vs 30Helped
use TSM-MWC instead of WLMC on search tree sizeTSM-MWC · WDPmean search tree size (1e5): 6.02 -> 1.92Helped
use TSM-MWC instead of WLMC on search tree sizeTSM-MWC · DIMACSmean search tree size (1e5): 15.5 -> 60.6Hurt
add binary MaxSAT reasoning (replace standard IS partition) (ablation)TSM-MWC · DIMACSgraphs solved: 54 -> 64Helped
add binary MaxSAT reasoning (replace standard IS partition) (ablation)TSM-MWC · MASSIVEgraphs solved: 15 -> 34Helped
add binary MaxSAT reasoning (replace standard IS partition) (ablation)TSM-MWC · WDPmean search tree size (1e5): 74.2 -> 6.05Helped
add ordered MaxSAT reasoning on top of IS partition (ablation)TSM-MWC · DIMACSgraphs solved: 54 -> 66Helped
replace brute-force MaxSAT with ordered MaxSAT (ablation)TSM-MWC · DIMACSgraphs solved: 60 -> 66Helped
replace brute-force MaxSAT with ordered MaxSAT (ablation)TSM-MWC · MASSIVEgraphs solved: 30 -> 35Helped
add binary MaxSAT reasoning (ablation)TSM-MWC · KESgraphs solved: 80 -> 82Helped

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