Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9514637 | Electronic Notes in Discrete Mathematics | 2005 | 11 Pages |
Abstract
The X-ray of a permutation is defined as the sequence of antidiagonal sums in the associated permutation matrix. X-rays of permutation are interesting in the context of Discrete Tomography since many types of integral matrices can be written as linear combinations of permutation matrices. This paper is an invitation to the study of X-rays of permutations from a combinatorial point of view. We present connections between these objects and nondecreasing differences of permutations, zero-sum arrays, decomposable permutations, score sequences of tournaments, queens' problems and rooks' problems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Cecilia Bebeacua, Toufik Mansour, Alex Postnikov, Simone Severini,