Author

S. G. Gómez-Galicia

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Preprint Sep 2026

Automorphisms of Token Graphs That Send $4$-Cycles Generated by Two Edges to Cycles Generated by a $4$-Cycle and Two Tokens

Let $G$ be a connected graph. The $k$-token graph of $G$ is the graph $F_k(G)$ whose vertex set consists of all subsets of $k$ vertices of $G$, where two of them are adjacent whenever their symmetric difference is an edge of $G$. Every automorphism of $G$ induces one of $F_k(G)$, as does complementation when $k=|G|/2$;...

R. Fabila-Monroy, S. G. Gómez-Galicia, A. Trujillo-Negrete · 1 citation · ⚡1

Preprint Aug 2026

The forbidden structure for zero forcing number

The {\it zero forcing number} of a graph $G$, $Z(G)$, is a well-studied parameter which arises from a color changing process and has strong connections to {\it minimum rank}, {\it critical ideals} and related invariants. In this work, we consider the complementary parameter $\mz(G) = |V(G)| - Z(G)$. This parameter is m...

Carlos A. Alfaro, Michael D. Barrus, S. G. Gómez-Galicia et al. · 0 citations