Events at Towson University

Enumerations of Restricted Dumont Permutations - Mathematics Seminar

Enumerations of Restricted Dumont Permutations - Mathematics Seminar

Speaker:      Dr. Opel Jones, Towson University.

Abstract:      Pattern avoidance in permutations and minimal occurrences (one or two) of a pattern in permutations are fairly new subjects; each are less than fifty years young.  This talk will focus on avoiding Dumont permutations.  Dumont first referenced such permutations in 1974 as being counted by the Genocchi numbers, a multiple of the Bernoulli numbers.  A Dumont permutation of the first kind of length 2n is a permutation wherein every even entry is followed by a smaller entry, and every odd entry is followed by a larger entry, or ends the permutation.  A Dumont permutation of the second kind of length 2n is a permutation wherein if an entry is a deficiency, it must be even, and if an entry is an excedance or a fixed point, it must be odd.

Friday, September 6, 2019 at 12:00pm

7800 York Road, Room 219
7800 York Rd, Towson University, Towson, MD 21204, USA

Event Type

Academics, Academic Seminar

Departments

Academic Affairs, Mathematics (Department of), Fisher College of Science and Mathematics

Target Audience

Faculty

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