The Permuta Triangle

A Research Group on Permutation Patterns

The study of permutation patterns is a very active area of research and has connections to many other fields of mathematics as well as to computer science and physics. One of the main questions in the field is the enumeration problem: Given a particular set of permutations, how many permutations does the set have of each length? The main goal of this research group is to develop a novel algorithm which will aid researchers in finding structures in sets of permutations and use those structures to find generating functions to enumerate the set. Our research interests lead also into various topics in discrete mathematics and computer science.


Faculty Students
  • Christian Bean, PhD student at Reykjavik University
  • Murray Tannock, MSc student at Reykjavik University
  • Bjarki Gudmundsson, MSc student at Reykjavik University
  • Tomas Ken Magnusson, MSc student at Reykjavik University

Implementation of algorithms

We maintain repositories at