Douglas M. Chen

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20192026

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4 papers · 1 filter

math.CO2026

An Improved Bound for Smith's Longest Cycles Conjecture via a Forbidden Subdivision

Douglas M. Chen

Smith's conjecture asserts that in every $k$ -connected graph with $k \geq 2$ , any two longest cycles intersect in at least $k$ vertices. In this work, we establish an $Ω (k^{8/11})$ …

math.CO2023

On the Structure of Permutation Invariant Parking

Douglas M. Chen

We continue the study of parking assortments, a generalization of parking functions introduced by Chen, Harris, Martínez, Pabón-Cancel, and Sargent. Given $n$ cars of lengths $\mat…

math.CO2023

Lattice Path Delta Matroids

Douglas M. Chen, Mario Sanchez, John Veliz +1

We initiate the study of a type $C_{n}$ generalization of the lattice path matroids defined by Bonin, de Mier, and Noy. These are delta matroids whose feasible sets are in bijection…

math.CO2019

NIM with Cash: A Concrete Approach

Douglas Chen, William Gasarch

Let A be a finite subset of the naturals and let n be a natural. Let NIM(A;n) be the two player game in which players alternate removing $a \in A$ stones from a pile with $n$ stones…