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Preprint Sep 2026

The Algebraic Connectivity and Laplacian Spectral Radius of Token Graphs

For a graph $G=(V,E)$ of order $n$ and an integer $k$ between $1$ and $\lfloor\frac{n}{2}\rfloor$, its token graph $F_k(G)$ is the graph whose vertices consist of the $\binom{n}{k}$ $k$-subsets of $V$, and two vertices of $F_k(G)$ are adjacent whenever their symmetric difference is an edge in $E$. It was found that the...

Xiao-Di Song, C. Dalf'o, M. Fiol et al. · 0 citations
Preprint Aug 2026

On the achromatic index of Johnson graphs $J(n,2)$

In this paper, we study proper and complete edge-colorings of Johnson graphs $J(n,2)$, also called $n$-triangular graphs. They are isomorphic both to the 2-token graphs of complete graphs and to the line graphs of complete graphs. A $t$-edge-coloring of a graph $G$ is a function that assigns one color from $\{1,2,\ldot...

G. Araujo-Pardo, C. Dalf'o, M. Reyes · 0 citations

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