Geodesic
On the Connectivity of Token Graphs of Trees
Discrete mathematics & theoretical computer science, Tome 24 (2022) no. 1.

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Let $k$ and $n$ be integers such that $1\leq k \leq n-1$, and let $G$ be a simple graph of order $n$. The $k$-token graph $F_k(G)$ of $G$ is the graph whose vertices are the $k$-subsets of $V(G)$, where two vertices are adjacent in $F_k(G)$ whenever their symmetric difference is an edge of $G$. In this paper we show that if $G$ is a tree, then the connectivity of $F_k(G)$ is equal to the minimum degree of $F_k(G)$.
DOI : 10.46298/dmtcs.7538
Classification : 05C05, 05C07, 05C40 
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Fabila-Monroy, Ruy; Leaños, Jesús; Trujillo-Negrete, Ana Laura. On the Connectivity of Token Graphs of Trees. Discrete mathematics & theoretical computer science, Tome 24 (2022) no. 1. doi : 10.46298/dmtcs.7538. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.7538/

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