Reconstructing compositions
组合数学
2007-05-23 v1
摘要
We consider the problem of reconstructing compositions of an integer from their subcompositions, which was raised by Raykova (albeit disguised as a question about layered permutations). We show that every composition w of n\ge 3k+1 can be reconstructed from its set of k-deletions, i.e., the set of all compositions of n-k contained in w. As there are compositions of 3k with the same set of k-deletions, this result is best possible.
引用
@article{arxiv.math/0610477,
title = {Reconstructing compositions},
author = {Vincent Vatter},
journal= {arXiv preprint arXiv:math/0610477},
year = {2007}
}