用双向投票序列构造MSTD集
Constructing MSTD Sets Using Bidirectional Ballot Sequences
摘要:
和大于差(MSTD)集是整数的有限子集S,使得|S+S| > |S-S|.我们构造了{0,1,2,.}的MSTD子集的一个新的稠密族,n-1}。我们的构造给出了Theta(2^n/n)MSTD集,改进了Miller,Orosz和Scheinerman以前使用Omega(2^n/n^4)MSTD集的最佳构造。
英文摘要:
A more sums than differences (MSTD) set is a finite subset S of the integers such that |S+S| > |S-S|. We construct a new dense family of MSTD subsets of {0, 1, 2, ..., n-1}. Our construction gives Theta(2^n/n) MSTD sets, improving the previous best construction with Omega(2^n/n^4) MSTD sets by Miller, Orosz, and Scheinerman.
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