Faculty Sponsor
Lara Pudwell
College
Arts and Sciences
Department/Program
Mathematics and Statistics
ORCID Identifier(s)
https://orcid.org/0000-0003-2445-3920 https://orcid.org/0000-0001-9001-6492 https://orcid.org/0000-0003-3910-7705
Presentation Type
Poster Presentation
Symposium Date
Summer 7-30-2018
Abstract
Interesting patterns are everywhere we look, but what happens when we try to avoid patterns? A permutation is a list of numbers in a specific order. When we avoid a pattern, we try not to order those numbers in certain ways. For example, the permutation 45312 avoids the 123 pattern because no three elements in the permutation are in an increasing order. In our work, we studied the permutations that avoid two different patterns of length three. We focused on the distribution of peaks, valleys, double ascents, and double descents over these sets of permutations.
Recommended Citation
Lewandowski, Nicholas; Wheeland, Teresa; and Roth, Jacob, "Fantastic Patterns and Where Not to Find Them" (2018). Summer Interdisciplinary Research Symposium. 24.
https://scholar.valpo.edu/sires/24
Biographical Information about Author(s)
Nicholas Lewandowski is a junior math and secondary education double major, Jacob Roth is a junior math and computer science double major, and Teresa Wheeland is a junior math and secondary education double major,