MAX-2-SAT is one of the representative combinatorial problems and is known to be NP-hard. Given a set of m clauses on n propositional variables, where each clause contains at most two literals and is weighted by a positive real, MAX-2-SAT asks to find a truth assignment that maximizes...
MAX 2-SAT Problem 给定n个bool变量x1,x2,⋯,xn和m个合取范式C1,C2,⋯,Cm 每个clause是两个子句t1,t2的或,子句采样自x1,x2,⋯,xn,⧸x1,x̸2,⋯,x̸n 找到变量赋值使得被满足的合取范式最多 RANDOMASSIGN 随机给变量赋值,是\frac{3}{4}近似最优算法,对于每个子句Y_i ...
Since even a pure Max 2-Sat input instance may be transformed to a hybrid instance in the course of solving it, the algorithmʼs efficiency and generality go hand in hand. Our algorithm analysis and optimization use the familiar measure-and-conquer approach, but in a variation resulting in...
The maximum 2-satisfiability problem (MAX-2-SAT) is: given a Boolean formula in 2-CNF, find a truth assignment that satisfies the maximum possible number of its clauses. MAX-2-SAT is MAX-SNP-complete. Recently, this problem received much attention in the contexts of (polynomial-time) appr...
We propose a simple probability model for MAX-2SAT instances for discussing the average-case complexity of the MAX-2SAT problem. Our model is a "planted solution model", where each instance is generated randomly from a target solution. We show that for a large range of parameters, the plant...
Prior algorithms known for exactly solving Max 2-Sat improve upon the trivial upper bound only for very sparse instances. We present new algorithms for exactly solving (in fact, counting) weighted Max 2-Sat instances. One of them has a good performance if the underlying constraint graph has a...
MAX-2SATperformance analysiscircuit implementationmaximum 2-satisfiability problemA neural algorithm for solving approximately the maximum 2-satisfiability problem is presented and its performance is analysed: the worst case relative error is 0.25 and the computation time is bounded by nm4, where n is ...
什么叫2-SAT?2-SAT是2-适定性问题的简称,差不多是这样一个模型:给若干个东西,这些东西两两之间可能有限制条件,问有没有满足所有条件的选法。之所以命名为2-SAT就是因为这些限制条件是两两之间的条件,而k-SAT问题在k>2时已经被证明是NPC问题,只有2-SAT有比较优美的解法。
This hand-out provides a proof (according to the one presented in [Pap94]) that the problem MAX2SAT is a NP-complete problem. To do attain such result we start by giving some previous account on satisfiability and motivating the problem of MAX2SAT . In the sequel we present the required...