Binary Pullback Parking Functions<\/p>\n\n\n\n
In this talk I will introduce parking functions, specifically, the weakly increasing and decreasing binary pullback parking functions. After briefly reviewing the background and motivation for the project, I will present some of the findings from my research over the summer at the Combinatorics and Coding Theory in the Tropics REU at the University of Puerto Rico in Ponce.<\/p>\n\n\n\n
My project focused on a generalization known as the (k, l)-pullback parking functions. In this case, each car can park in its preferred spot, k spots behind its preferred spot, or l spots ahead of it. I will then introduce the binary pullback parking functions, a special case that restricts the parameters of the (k, l) pullback parking functions. <\/p>\n\n\n\n
The main result of this presentation is the bijection between the weakly increasing and the weakly decreasing binary pullback parking functions, given by a simple formula that acts as a mirror.<\/p>\n\n\n\n
MATH 499, Senior Capstone<\/p>\n\n\n\n
Connie Wilmarth<\/p>\n\n\n\n
10 – 10:25 AM<\/p>\n\n\n\n
Goodrich 204<\/p>\n\n\n\n
Return to schedule<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" Binary Pullback Parking Functions In this talk I will introduce parking functions, specifically, the weakly increasing and decreasing binary pullback parking functions. After briefly reviewing the background and motivation for the project, I will present some of the findings from my research over the summer at the Combinatorics and Coding Theory in the Tropics REU … Continue reading “Abby Weston”<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2429],"tags":[661,2434,117,118,1299,848],"class_list":["post-4564","post","type-post","status-publish","format-standard","hentry","category-35-spring-2026","tag-capstone","tag-capstones-spring-2026","tag-math","tag-math-499","tag-weston-a","tag-wilmarth-c"],"_links":{"self":[{"href":"https:\/\/aceday.bushnell.edu\/index.php?rest_route=\/wp\/v2\/posts\/4564","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/aceday.bushnell.edu\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/aceday.bushnell.edu\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/aceday.bushnell.edu\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/aceday.bushnell.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4564"}],"version-history":[{"count":1,"href":"https:\/\/aceday.bushnell.edu\/index.php?rest_route=\/wp\/v2\/posts\/4564\/revisions"}],"predecessor-version":[{"id":4566,"href":"https:\/\/aceday.bushnell.edu\/index.php?rest_route=\/wp\/v2\/posts\/4564\/revisions\/4566"}],"wp:attachment":[{"href":"https:\/\/aceday.bushnell.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4564"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/aceday.bushnell.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4564"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aceday.bushnell.edu\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}