[PDF] Top 20 On the Unique Games Conjecture
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On the Unique Games Conjecture
... function g that agrees with f on 99% of the inputs and g depends only on 2 O(1/ε 2 ) co-ordinates. Bourgain’s Theorem is tight: for c = 1 2 , the MAJORITY function has ε-noise sensitivity θ(ε c ), but cannot be ... See full document
37
Optimal Inapproximability Results for MAX-CUT
... The Unique Games Conjecture was used in [36] to show that Min-2SAT-Deletion is NP-hard to ap- proximate within any constant ...the Unique Games Conjecture with an additional ... See full document
38
Approximation Algorithms for Unique Games
... satisfiable unique game, that is, a game admitting an assignment that satisfies a 1 − γ fraction of the constraints for some small γ, then no efficient algorithm is known to find a good assignment, that is, say, ... See full document
18
Subsets of Cayley Graphs that Induce Many Edges
... The Unique Games Conjecture, formulated by Khot [6] in 2002, is a central conjecture in theoretical computer ...the conjecture known as the 2-to-2 Games Conjecture, where ... See full document
29
The Projection Games Conjecture and the NP-Hardness of ln $n$-Approximating Set-Cover
... the Unique Games Conjecture, we know that all CSPs over constant-sized alphabets have thresholds, where they pass from admitting polynomial time algorithms to being NP-hard ... See full document
15
Simple Proof of Hardness of Feedback Vertex Set
... the Unique Games Conjecture (UGC) of Khot [13], it is NP-hard (called UG-hard) to approximate FVS in directed graphs within any constant factor [12, ... See full document
11
Dimension-Free $L_2$ Maximal Inequality for Spherical Means in the Hypercube
... Khot’s Unique Games Conjecture (UGC) [14] has, for a decade, been the focus of great ...the conjecture will have implications for the hardness of approximating NP-hard ... See full document
21
Hardness of Vertex Deletion and Project Scheduling
... solution corresponds to a function f : [k] R → {0,1} with a high-influence coordinate. These gadgets are then used in Section 4 together with a more general form of the “It Ain t Over Till It’s Over” Theorem (see Theorem ... See full document
23
Optimal Approximation Algorithms for Reoptimization of Constraint Satisfaction Problems
... called Unique Games Conjecture (UGC), introduced by ...[11-14]. Unique games conjecture (UGC) is one of the most im- portant open problems in modern theoretical computer science ... See full document
10
Tight Bounds on the Approximability of Almost-Satisfiable Horn SAT and Exact Hitting Set
... In sharp contrast to this extreme hardness for linear equations, Zwick [19] proved that for 2-SAT and Horn-SAT one can find almost-satisfying assignments in polynomial time. For Max 2SAT, Zwick gave a semidefinite ... See full document
29
Cosmic Transmutation Conjecture
... the conjecture of cosmic transmutation according to which the host universe where one of the mouths of a grown up wormhole is inserted may be converted into a universe similar to the traveling one if the latter ... See full document
9
1.1.2 GAMES FEATURES AND OPERATIONAL CONCEPTS
... sustainable Games Concept, with limited new construction required, LA 2024 will be able to focus intense resources and thought leadership within this Network to reimagine the experience for all key constituents ... See full document
6
Proof of Beal Conjecture
... The above proves that, the Equation (1) is not valid without common factors; and it maybe holds when having common factor. It proved that, Beal conjecture is correct. Using the relationship between algebraic ... See full document
5
Steinberg's conjecture is false
... Steinberg’s Conjecture by constructing a planar graph with no cycles of length four or five that is not ...Bordeaux Conjecture from [9] and Novosibirsk 3-Color Conjecture from ...[5]. ... See full document
7
The Average Tree Solution for Multi choice Forest Games
... average change in accumulated payoffs when each player chooses its greatest activity level, where the average is taken over the players in the component. On the class of forest games, Herings, et al. [2008] show ... See full document
23
Linear Quadratic Differential Game Formulation for Leaderless Formation Control
... In this article studies the leaderless formation control problem for a multi-robot system with double integrator dynamics and the interaction dynamics among robots and the formation objective are added together and ... See full document
12
Applications of GPC Rules and Character Structures in Games for Learning Chinese Characters
... is unique on two aspects: (1) students play games that are designed to strengthen the association between Chinese PCs and the pro- nunciations of hosting characters and (2) teachers compile the games ... See full document
6
On a Conjecture on the Symmetric Means
... One can then deduce from this the right-hand side inequality in Corollary 1.1 for general k’s by following the method in the proof of Theorem 1.3?. What about the left-hand side inequali[r] ... See full document
9
A proof of a conjecture of Ohba
... In this paper, we prove Ohba’s Conjecture. We divide the argument into three main parts. In Section 2, we show how a special type of proper non- acceptable colouring of G can be modified to yield an acceptable ... See full document
22
A condition for determinacy of optimal strategies in zero sum convex polynomial games
... There have been important advances in the linkages of real alge- braic geometry and game theory. Blume and Zame (1994) use them for analysing the relationship between sequential and perfect equilibria, and Bolte, Gaubert ... See full document
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