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arXiv · 2509.16448

Domination number of Token Graphs

Ruy Fabila-Monroy·Sergio Gerardo Gómez-Galicia
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Abstract

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

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Ruy Fabila-Monroy, Sergio Gerardo Gómez-Galicia. 2025-09-19. Domination number of Token Graphs. https://arxiv.org/abs/2509.16448

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