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Seminar Details

A Combinatorial Lane Merging Problem

  • Start Date: March 4, 2026
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Aurora Hiveley - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    You're driving on a two lane road, approaching a stoplight. Shortly after the light, the left lane merges into the right lane. Do you stay in the right lane for a speedy merge, or choose the shorter of the two lanes in hopes of getting through the light quickly? Using the framework established by Bardenova et al. in a 2022 paper, we will represent cars' lane preferences with binary strings before computing the expected number of cars in each lane using recursion and a bijection to lattice paths.