English

Domination number of Token Graphs

Combinatorics 2025-09-23 v1

Abstract

The kk-token graph of GG is the graph, Fk(G)F_k(G), whose vertices are all the kk-subsets of V(G)V(G); with two of them adjacent whenever their symmetric difference is a pair of adjacent vertices in GG. In this paper, we study the domination number of the token graphs of the star, SnS_n, and the complete graph, KnK_n.

Keywords

Cite

@article{arxiv.2509.16448,
  title  = {Domination number of Token Graphs},
  author = {Ruy Fabila-Monroy and Sergio Gerardo Gómez-Galicia},
  journal= {arXiv preprint arXiv:2509.16448},
  year   = {2025}
}
R2 v1 2026-07-01T05:46:44.629Z