English

Counting largest mutual-visibility and general position sets of glued $t$-ary trees

Combinatorics 2025-12-10 v1

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 tt-ary trees, and some of them also to generalized glued binary trees.

Keywords

Cite

@article{arxiv.2410.17611,
  title  = {Counting largest mutual-visibility and general position sets of glued $t$-ary trees},
  author = {Dhanya Roy and Sandi Klavžar and Aparna Lakshmanan S},
  journal= {arXiv preprint arXiv:2410.17611},
  year   = {2025}
}