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Weierstrass sets on finite graphs
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Borzì, Alessio (2022) Weierstrass sets on finite graphs. The Electronic Journal of Combinatorics, 29 (1). P1.4 . doi:10.37236/10400 ISSN 2150-959X.
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Official URL: http://dx.doi.org/10.37236/10400
Abstract
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 N arising as a functional Weierstrass set of some graph. Finally, we give a sufficient condition for a subset of N to be the rank Weierstrass set of some graph, allowing us to construct examples of rank Weierstrass sets that are not semigroups.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Graph theory, Algebraic Geometry, Curves, Algebraic | ||||||
Journal or Publication Title: | The Electronic Journal of Combinatorics | ||||||
Publisher: | Electronic Journal of Combinatorics | ||||||
ISSN: | 2150-959X | ||||||
Official Date: | 28 January 2022 | ||||||
Dates: |
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Volume: | 29 | ||||||
Number: | 1 | ||||||
Article Number: | P1.4 | ||||||
DOI: | 10.37236/10400 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||
Date of first compliant deposit: | 23 February 2022 | ||||||
Date of first compliant Open Access: | 24 February 2022 |
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