文章基本信息

标题：A Fast Exponential Time Algorithm for Max Hamming Distance X3SAT
本地全文：下载
作者：Gordon Hoi ; Sanjay Jain ; Frank Stephan 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2019
卷号：150
页码：1-14
DOI：10.4230/LIPIcs.FSTTCS.2019.17
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：X3SAT is the problem of whether one can satisfy a given set of clauses with up to three literals such that in every clause, exactly one literal is true and the others are false. A related question is to determine the maximal Hamming distance between two solutions of the instance. DahllÃ¶f provided an algorithm for Maximum Hamming Distance XSAT, which is more complicated than the same problem for X3SAT, with a runtime of O(1.8348^n); Fu, Zhou and Yin considered Maximum Hamming Distance for X3SAT and found for this problem an algorithm with runtime O(1.6760^n). In this paper, we propose an algorithm in O(1.3298^n) time to solve the Max Hamming Distance X3SAT problem; the algorithm actually counts for each k the number of pairs of solutions which have Hamming Distance k.
关键词：X3SAT Problem; Maximum Hamming Distance of Solutions; Exponential Time Algorithms; DPLL Algorithms