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- W4308288412 abstract "Two dimensional rook graphs are the Cartesian product of two complete graphs. In this paper we prove that the gonality of these graphs is the expected value of $(n-1)m$ where $n$ is the size of the smaller complete graph and $m$ is the size of the larger. furthermore we compute the 2 and 3 gonalities of these graphs. We also explore the scramble number of these graphs, which is a new graph invariant and a lower bound on the gonality." @default.
- W4308288412 created "2022-11-10" @default.
- W4308288412 creator A5070512908 @default.
- W4308288412 date "2022-03-30" @default.
- W4308288412 modified "2023-09-23" @default.
- W4308288412 title "The Gonality of Rook Graphs" @default.
- W4308288412 doi "https://doi.org/10.48550/arxiv.2203.16619" @default.
- W4308288412 hasPublicationYear "2022" @default.
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