Are you wondering what is a parking function?

Keywords

Combinatorics [CO], optimization [OP], transportation [TR], game theory [GT], network science [NS].

Preprints

  1. Boolean intervals in the weak Bruhat order of a finite Coxeter group Ben Adenbaum, Jennifer Elder, Pamela E. Harris, and J. Carlos Martínez Mori. Full manuscript, 2024. [CO]
  2. Modeling Processes of Neighborhood Change J. Carlos Martínez Mori and Zhanzhan Zhao. Full manuscript, 2024. [TR, GT]
  3. Interval and ℓ-interval Rational Parking Functions. Tomás Aguilar-Fraga, Jennifer Elder, Rebecca E. Garcia, Kimberly P. Hadaway, Pamela E. Harris, Kimberly J. Harry, Imhotep B. Hogan, Jakeyl Johnson, Jan Kretschmann, Kobe Lawson-Chavanu, J. Carlos Martínez Mori, Casandra D. Monroe, Daniel Quiñonez, Dirk Tolson III, Dwight Anderson Williams II. Full manuscript, 2023. [CO]
  4. Cost-sharing in Parking Games. Jennifer Elder, Pamela E. Harris, Jan Kretschmann, and J. Carlos Martínez Mori. Full manuscript, 2023. [CO, GT]
  5. Designing Equitable Transit Networks. Sophie Pavia, J. Carlos Martínez Mori, Aryaman Sharma, Philip Pugliese, Abhishek Dubey, Samitha Samaranayake, Ayan Mukhopadhyay. Extended abstract, INFORMS Transportation and Logistics Society Conference, 2023. Full manuscript, ACM Conference on Equity and Access in Algorithms, Mechanisms, and Optimization (EAAMO'23) (non-archival). [TR]
  6. Sparse Graphical Designs via Linear Programming. Hessa Al-Thani, Catherine Babecki, and J. Carlos Martínez Mori. Full manuscript, 2023. [OP, CO]

Publications

  1. Boolean Intervals in the Weak Order of $\mathfrak{S}_n$. Jennifer Elder, Pamela E. Harris, Jan Kretschmann, and J. Carlos Martínez Mori. To appear in Journal of Combinatorics, 2024. [CO]
  2. Lucky Cars and the Quicksort Algorithm. Pamela E. Harris, Jan Kretschmann, and J. Carlos Martínez Mori. The American Mathematical Monthly, 131:5, 417–423, 2024. [CO]
  3. Permutation Invariant Parking Assortments. Douglas Chen, Pamela E. Harris, J. Carlos Martínez Mori, Eric J. Pabón-Cancel, and Gabriel Sargent. Enumerative Combinatorics and Applications, 4:1, Article #S2R4, 2024. [CO]
  4. On Parking Functions and the Tower Of Hanoi. Yasmin Aguillon, Dylan Alvarenga, Pamela E. Harris, Surya Kotapati, J. Carlos Martínez Mori, Casandra D. Monroe, Zia Saylor, Camelle Tieu, and Dwight Anderson Williams II. The American Mathematical Monthly, 130:7, 618-624, 2023. [CO]
  5. On the Outcome Map of MVP Parking Functions: Permutations Avoiding 321 and 3412, and Motzkin Paths. Pamela E. Harris, Brian Kamau, J. Carlos Martínez Mori, and Roger Tian. Enumerative Combinatorics and Applications, 3:2, Article #S2R11, 2023. [CO]
  6. On the Value of Dynamism in Transit Networks. J. Carlos Martínez Mori, M. Grazia Speranza, and Samitha Samaranayake. Transportation Science, 57:3, 578-593, 2023. [TR]
  7. Permutatorial Optimization via the Permutahedron. J. Carlos Martínez Mori and Samitha Samaranayake. Operations Research Letters, 50:5, 441-445, 2022. [OP]
  8. On the Request-Trip-Vehicle Assignment Problem. J. Carlos Martínez Mori and Samitha Samaranayake. Proceedings of the 2021 SIAM Conference on Applied and Computational Discrete Algorithms (ACDA21), 228-239, 2021. [OP, TR]
  9. Bounded Asymmetry in Road Networks. J. Carlos Martínez Mori and Samitha Samaranayake. Scientific Reports, 9, 11951, 2019. [NS, OP]
  10. Prediction of Arrival Times of Freight Traffic on US Railroads using Support Vector Regression. William Barbour, J. Carlos Martínez Mori, Shankara Kuppa, and Daniel Work. Transportation Research Part C: Emerging Technologies, 93, 211-227, 2018. [TR]
  11. Estimating Traffic Conditions from Smart Work Zone Systems. Yanning Li, J. Carlos Martínez Mori, and Daniel Work. Journal of Intelligent Transportation Systems, 22:6, 490-502, 2018. [TR]
  12. Predicting Delay Occurrence at Freight Rail Sidings. J. Carlos Martínez Mori, William Barbour, Shankara Kuppa, and Daniel Work. Proceedings of the 97th Transportation Research Board Annual Meeting, 2018. [TR]
  13. Improving the Effectiveness of Smart Work Zone Technologies. Yanning Li, J. Carlos Martínez Mori, and Daniel Work. Illinois Center for Transportation, Technical Report FHWA-ICT-16-021, 2016. [TR]