Rachana Madhukara

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20202026

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math.CO2023

Permutoric Promotion: Gliding Globs, Sliding Stones, and Colliding Coins

Colin Defant, Rachana Madhukara, Hugh Thomas

The first author recently introduced toric promotion, an operator that acts on the labelings of a graph $G$ and serves as a cyclic analogue of Schützenberger's promotion operator.…

math.CO2022

Adjacency and Broadcast Dimension of Grid and Directed Graphs

Rachana Madhukara

Let $G$ be a simple undirected graph. A function $f : V (G) \to Z_{\geq 0}$ is a $resolving broadcast$ of $G$ if for any distinct $x, y \in V (G)$ , there exists a v…