Properties of minimal charts and their applications XI: No minimal charts with exactly seven white vertices
Charts are oriented labeled graphs in a disk. Any simple surface braid (two-dimensional braid) can be described by using a chart. Also, a chart represents an oriented closed surface embedded in 4-space. In this paper, we investigate embedded surfaces in 4-space by using charts. In this paper, we show that there is no minimal chart with exactly seven white vertices.
Authors
- Teruo Nagase (ORCID: https://orcid.org/0009-0006-7639-9881)
- Akiko Shima (ORCID: https://orcid.org/0000-0001-5157-9778)
Institutions
- Tokai University (JP)
Publication Details
- Journal
- Journal of Knot Theory and Its Ramifications
- Published
- 2024-12-11
- DOI
- https://doi.org/10.1142/s0218216524500585
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00