Mathematics – Combinatorics
Scientific paper
2006-10-16
Mathematics
Combinatorics
Scientific paper
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.
No associations
LandOfFree
Reconstructing compositions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Reconstructing compositions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reconstructing compositions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-244866