Counting Largest Mutual-Visibility and General Position Sets of Glued t-ary Trees
Abstract All four invariants of the mutual-visibility problem and, all four invariants of the general position problem are determined for glued binary trees. The number of the corresponding extremal sets is obtained in each of the eight situations. The results are further extended to glued t -ary trees, and some of them also to generalized glued binary trees.
Authors
- Sandi Klavžar (ORCID: https://orcid.org/0000-0002-1556-4744)
- Aparna Lakshmanan S (ORCID: https://orcid.org/0000-0002-2453-9348)
- Dhanya Roy
Institutions
- University of Ljubljana (SI)
- Cochin University of Science and Technology (IN)
- University of Maribor (SI)
- Institute of Mathematics, Physics, and Mechanics (SI)
Publication Details
- Journal
- Results in Mathematics
- Published
- 2025-09-23
- DOI
- https://doi.org/10.1007/s00025-025-02529-9
- Primary Topic
- Advanced Graph Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Cochin University of Science and Technology
- Javna Agencija za Raziskovalno Dejavnost RS