Sökning: "max-q-cut"

Hittade 2 avhandlingar innehållade ordet max-q-cut.

  1. 1. Topics in Hardness of Approximation and Social Choice Theory

    Författare :Marcus Isaksson; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Hardness of approximation; social choice theory; Gibbard-Satterthwaite; max-q-cut; Condorcet voting; linear threshold functions.; Hardness of approximation;

    Sammanfattning : Tools from Fourier analysis of Boolean functions have commonly been used to prove results both in hardness of approximation in computer science and in the study of voting schemes in social choice theory. In this thesis we consider various topics in both these contexts. LÄS MER

  2. 2. Applications of Gaussian Noise Stability in Inapproximability and Social Choice Theory

    Författare :Marcus Isaksson; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Gaussian noise stability; inapproximability theory; invariance principle; max-q-cut; condorcet voting; max-q-cut;

    Sammanfattning : Gaussian isoperimetric results have recently played an important role in proving fundamental results in hardness of approximation in computer science and in the study of voting schemes in social choice theory. In this thesis we prove a generalization of a Gaussian isoperimetric result by Borell and show that it implies that the majority function is optimal in Condorcet voting in the sense that it maximizes the probability that there is a single candidate which the society prefers over all other candidates. LÄS MER