Fourier analysis of Boolean functions yields two phenomena—preservation of coordinate influence under random 2-to-1 minors and sharp thresholds—that classify hardness and tractability for Boolean PCSP minions of unate or polynomial threshold functions, extending prior ordered-PCSP results.
Efficient Computation of the Shapley Value for Game-Theoretic Net- work Centrality
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Empirical tests on three real networks show Shapley-value node selection for coverage under reachability rules reaches ~0.9 approximation ratio and beats degree baseline, with one case covering half of Cora using 26 nodes.
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Boolean PCSPs through the lens of Fourier Analysis
Fourier analysis of Boolean functions yields two phenomena—preservation of coordinate influence under random 2-to-1 minors and sharp thresholds—that classify hardness and tractability for Boolean PCSP minions of unate or polynomial threshold functions, extending prior ordered-PCSP results.