Wilfclassification of mesh patterns of short length
Abstract
This paper starts the Wilfclassification of mesh patterns of length 2. Although there are initially 1024 patterns to consider we introduce automatic methods to reduce the number of potentially different Wilfclasses to at most 65. By enumerating some of the remaining classes we bring that upperbound further down to 56. Finally, we conjecture that the actual number of Wilfclasses of mesh patterns of length 2 is 46.
 Publication:

arXiv eprints
 Pub Date:
 September 2014
 arXiv:
 arXiv:1409.3165
 Bibcode:
 2014arXiv1409.3165H
 Keywords:

 Mathematics  Combinatorics;
 Computer Science  Discrete Mathematics;
 05A05;
 05A15
 EPrint:
 27 pages, 3 figures