The tropical variety of symmetric rank 2 matrices
We study the tropicalization of the variety of symmetric rank two matrices. Analogously to the result of Markwig and Yu for general tropical rank two matrices, we show that it has a simplicial complex structure as the space of symmetric bicolored trees and that this simplicial complex is shellable. We also discuss some matroid structures arising from this space and present generating functions for the number of symmetric bicolored trees.
Authors
- Kisun Lee (ORCID: https://orcid.org/0000-0003-1191-1400)
- Josephine Yu (ORCID: https://orcid.org/0000-0003-4962-3930)
- May Cai (ORCID: https://orcid.org/0000-0003-4210-453X)
Publication Details
- Journal
- Linear Algebra and its Applications
- Published
- 2025-04-25
- DOI
- https://doi.org/10.1016/j.laa.2025.04.011
- Citations
- 2
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 1.46