Event Type
Research Presentation
Academic Department
Mathematics and Statistics
Location
Dana Science Building, 2nd floor
Start Date
25-4-2025 1:00 PM
End Date
25-4-2025 2:30 PM
Description
Under the direction of Dr. Molly Lynch
Parking functions have been well-studied for many years. Parking functions involve n cars, each with a preferred parking spot on a one-way street. Each car will try to park in its preferred spot but will take the next available if their preferred spot is taken. We introduce and study Tau-Indifferent Parking Functions, denoted π-Indiff., where one or more cars have no preference and will park in the first available spot. We will discover when a preference vector becomes a π-indiff parking function and how many π-indiff parking functions exist. By testing this rule, we are examining new topics within the field. We have found that the order of the preference vector does not affect the determination of the parking function, but it does affect the outcome vector.
Tau-indifferent parking functions
Dana Science Building, 2nd floor
Under the direction of Dr. Molly Lynch
Parking functions have been well-studied for many years. Parking functions involve n cars, each with a preferred parking spot on a one-way street. Each car will try to park in its preferred spot but will take the next available if their preferred spot is taken. We introduce and study Tau-Indifferent Parking Functions, denoted π-Indiff., where one or more cars have no preference and will park in the first available spot. We will discover when a preference vector becomes a π-indiff parking function and how many π-indiff parking functions exist. By testing this rule, we are examining new topics within the field. We have found that the order of the preference vector does not affect the determination of the parking function, but it does affect the outcome vector.