We determine the limiting distributions of the longest alternating subsequence for pattern-restricted permutations in which the pattern is any one of the six patterns of length th...
There has been great interest in deciding whether a combinatorial structure satisfies some property, or in estimating the value of some numerical function associated with this com...
Carlos Hoppen, Yoshiharu Kohayakawa, Carlos G. T. ...
The permutation procedure is widely used to assess the significance level (p-value) of a test statistic. This approach is asymptotically consistent. In genomics and proteomics st...
In this work, a new learning paradigm called target selection is proposed, which can be used to test for associations between a single genetic variable and a multidimensional, qua...
Johannes Mohr, Sambu Seo, Imke Puis, Andreas Heinz...
We study generating functions for the number of even (odd) permutations on n letters avoiding 132 and an arbitrary permutation on k letters, or containing exactly once. In sever...