Geodesic
Weierstrass sets on finite graphs
Alessio Borzì1
1University of Warwick
The electronic journal of combinatorics, Tome 29 (2022) no. 1
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We study two possible tropical analogues of Weierstrass semigroups on graphs, called rank and functional Weierstrass sets. We prove that on simple graphs, the first is contained in the second. We completely characterize the subsets of $\mathbb{N}$ arising as a functional Weierstrass set of some graph. Finally, we give a sufficient condition for a subset of $\mathbb{N}$ to be the rank Weierstrass set of some graph, allowing us to construct examples of rank Weierstrass sets that are not semigroups.
DOI : 10.37236/10400
Classification : 14T15, 14H55, 05C90, 20M14

Alessio Borzì  1

1 University of Warwick 
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     title = {Weierstrass sets on finite graphs},
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Alessio Borzì. Weierstrass sets on finite graphs. The electronic journal of combinatorics, Tome 29 (2022) no. 1. doi: 10.37236/10400

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