科研之友
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摘要
WE give new proofs of theorems on alternating subsets of integers by means of bijective transformations. It is shown that all known results are consequences of a simple result on the residue class of an integer. The notion of alternating subset is extended to permutations of {1,2, ..., n}. In particular, we obtain solutions to the problems of Terquem and Skolem's generalization for permutations.
- 出版日期2010
