R. Karpman

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20182022

C

3 citations · 3 across the 2 of their papers we have counts for

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math.CO2022

Parity Property of Hexagonal Sliding Puzzles

Ray Karpman, Erika Roldan

We study the puzzle graphs of hexagonal sliding puzzles of various shapes and with various numbers of holes. The puzzle graph is a combinatorial model which captures the solvabilit…

math.CO2020

Isotopy graphs of Latin tableaux

R. Karpman, É. Roldán

Latin tableaux are a generalization of Latin squares, which first appeared in the early 2000's in a paper of Chow, Fan, Goemans, and Vondrák. Here, we extend the notion of isotopy,…

math.CO2019★ 3 cited

The Purity Conjecture in Type $C$

Rachel Karpman

A collection $C$ of $k$ -element subsets of ${1, 2, \dots, m}$ is weakly separated if for each $I, J \in C$ , when the integers $1, 2, \dots, m$ are arranged around…

Parity Property of Hexagonal Sliding Puzzles

Isotopy graphs of Latin tableaux

The Purity Conjecture in Type C

The Purity Conjecture in Type $C$