A T-function is a mapping from n-bit words to n-bit words in which for each 0 ≤ i < n, bit i of any output word can depend only on bits 0, 1, . . . , i of any input word. All ...
The permutation routing problem is studied for trees under the matching model. By introducing a novel and useful (so-called) caterpillar tree partition, we prove that any permutati...
Several authors have examined connections between restricted permutations and Chebyshev polynomials of the second kind. In this paper we prove analogues of these results for color...
The problem of routing permutations on graphs via matchings is considered, and we present a general algorithm which can be parameterized by different heuristics. This leads to a ...
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...