15算法课程 课后习题8.3

题目:

STINGY SAT is the following problem: given a set of clauses (each a disjunction of literals) and an integer k, find a satisfying assignment in which at most k variables are true, if such an assignment exists. Prove that STINGY SAT is NP-complete.


solution:

显然STINGY SAT的解是可在多项式时间内验证的

故STINGY SAT的解属于NP

且显然将k设为所有变量的总个数,可以将SAT归约到STINGY SAT

所以

STINGY SAT为NP完全问题


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转载自blog.csdn.net/QingJiuYou/article/details/78921664