activity
20092022
most citedOn the Outcome Map of MVP Parking Functions: Permutations Avoiding 321 and 3412, and Motzkin Paths

3 citations · 8 across the 7 of their papers we have counts for

collaborators

7 papers

math.CO2022★ 3 cited

On the Outcome Map of MVP Parking Functions: Permutations Avoiding 321 and 3412, and Motzkin Paths

Pamela E. Harris, Brian M. Kamau, J. Carlos Martínez Mori +1

We introduce a new parking procedure called MVP parking in which cars sequentially enter a one-way street with a preferred parking spot from the parking spots on the street…

math.CO2020★ 1 cited

Connecting -Naples parking functions and obstructed parking functions via involutions

Roger Tian

Parking functions were classically defined for cars attempting to park on a one-way street with parking spots, where cars only drive forward. Subsequently, parking function…

math.CO2020★ 1 cited

Parking functions on directed stars and orientation reversal with an extension to general directed trees

Roger Tian

Parking functions, classically defined in terms of cars with preferred parking spots on a directed path attempting to park there, arise in many combinatorial situations and have se…

math.CO2016

Characterization of using marginally large tableaux and rigged configurations in the case via integer sequences

Roger Tian

Rigged configurations are combinatorial objects prominent in the study of solvable lattice models. Marginally large tableaux are semi-standard Young tableaux of special form that g…

math.CO2014★ 3 cited

Generalizations of an Expansion Formula for Top to Random Shuffles

Roger Tian

In the top to random shuffle, the first a cards are removed from a deck of n cards 12 \cdots n and then inserted back into the deck. This action can be studied by treating the top…

math.GM2009

On the Diophantine Equation 2^a3^b + 2^c3^d = 2^e3^f + 2^g3^h

Roger Tian

This paper is a continuation of [1], in which I studied Harvey Friedman's problem of whether the function f(x,y) = x^2 + y^3 satisfies any identities; however, no knowledge of [1]…