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