Self‐intersections of arcs on a pair of pants
Abstract We investigate arcs on a pair of pants and present an algorithm to compute the self‐intersection number of an arc. Additionally, we establish bounds for the self‐intersection number in terms of the word length. We also prove that the spectrum of self‐intersection numbers of 2‐low‐lying arcs covers all natural numbers.
Authors
- Nhat Minh Doan (ORCID: https://orcid.org/0000-0003-2541-6558)
- Hanh Vo (ORCID: https://orcid.org/0000-0002-2605-0095)
Institutions
- National University of Singapore (SG)
- Institute of Mathematics (VN)
- Arizona State University (US)
- Vietnam Academy of Science and Technology (VN)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-05-06
- DOI
- https://doi.org/10.1112/blms.70088
- Primary Topic
- Computational Geometry and Mesh Generation
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Foundation for Science and Technology Development
- National Research Foundation
- National Research Foundation Singapore