The bridge number of arborescent links with many twigs

Baader, Sebastian; Blair, Ryan; Kjuchukova, Alexandra; Misev, Filip (2023). The bridge number of arborescent links with many twigs. Algebraic and geometric topology, 23(1), pp. 75-85. Geometry & Topology Publications 10.2140/agt.2023.23.75

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We prove the meridional rank conjecture for arborescent links associated to plane trees with the following property: all branching points carry a straight branch to at least three leaves. The proof involves obtaining an upper bound on the bridge number in terms of the maximal number of link components of the underlying tree, which is valid for all arborescent links.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Baader, Sebastian

Subjects:

500 Science > 510 Mathematics

ISSN:

1472-2747

Publisher:

Geometry & Topology Publications

Language:

English

Submitter:

Zarif Ibragimov

Date Deposited:

20 Dec 2023 16:18

Last Modified:

20 Dec 2023 16:18

Publisher DOI:

10.2140/agt.2023.23.75

BORIS DOI:

10.48350/190347

URI:

https://boris.unibe.ch/id/eprint/190347

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