Sökning: "Unique Games Conjecture"
Hittade 5 avhandlingar innehållade orden Unique Games Conjecture.
1. Hardness of Approximating Constraint Satisfaction Problems and Their Variants in Presence of Additional Structural Assumptions
Sammanfattning : This thesis studies how the approximability of some fundamental computational problems is affected by some additional requirements on the structure of the inputs. The problems studied in this thesis belong or are closely related to constraint satisfaction problems (CSPs), which are considered to be one of the most fundamental problems in theoretical computer science. LÄS MER
2. Label Cover Reductions for Unconditional Approximation Hardness of Constraint Satisfaction
Sammanfattning : Problem solving is an integral aspect of modern society and includes such tasks as picking the fastest route to work, optimizing a production line, scheduling computer tasks, placing new bus stops, or picking a meal from available ingredients.We study the hardness of solving Constraint Satisfaction Problems (CSPs). LÄS MER
3. Applications of Gaussian Noise Stability in Inapproximability and Social Choice Theory
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
4. Topics in Hardness of Approximation and Social Choice Theory
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
5. Conditional Inapproximability and Limited Independence
Sammanfattning : Understanding the theoretical limitations of efficient computation is one of the most fundamental open problems of modern mathematics. This thesis studies the approximability of intractable optimization problems. In particular, we study so-called Max CSP problems. LÄS MER