When: 
Wednesday, March 24, 2021 - 4:10pm - 5:10pm
Where: 
Join Zoom Meeting: https://lafayette.zoom.us/j/92636909745
Presenter: 
Naiomi Cameron, Spelman College
Price: 
Free

Abstract: A Motzkin path is a path starting and ending on the x-axis which uses up, down and level steps and never goes below the x-axis. We consider Motzkin paths where any number of level steps on the x-axis are allowed to be marked. It is known that the number of such paths corresponds to a matrix which turns out to be a pseudo-involution in the Riordan group. We provide a combinatorial proof of this result by means of a sign-reversing involution on pairs of signed marked Motzkin paths. We also extend this result to the class of matrices that count Motzkin paths where level steps at a fixed height are allowed to be marked. 

 

 

Sponsored by: 
Department of Mathematics

Contact information

Name: 
C. Jayne Trent
Email: 
TRENTJ@LAFAYETTE.EDU