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7
votes
1
answer
286
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Distinguishability a set of permutations
the permutations. … We say that a subset $T\subseteq [n]$ is distinguished by a collection of permutations if it is distinguishable by every pair of permutations in the collection. …
3
votes
0
answers
124
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Finding the longest sub-permutation with bounded inversion number
Given a permutation $\sigma\in S_n$ and a positive integer $k$, find the largest integer $0\le m\le n$ such that there exist a subset $I\subseteq [n], |I|=m$, satisfying that the restriction of $\sigm …