3 papers
math.CO2026
The forbidden structure for zero forcing number
Carlos A. Alfaro, Michael D. Barrus, Sergio Gerardo Gómez-Galicia +5
The {\it zero forcing number} of a graph , , is a well-studied parameter which arises from a color changing process and has strong connections to {\it minimum rank}, {\it…
math.CO2026
The Smith normal form of Laplacian matrices of simplicial annuli and high dimensional trees
Carlos A. Alfaro, Jesús Uriel Medrano, Juan Pablo Serrano +2
Inspired by the generalization of the formula of determinant of the distance matrix of trees to -trees, we study the Smith normal form of Laplacian matrices associated with some…
math.CO2025
The characterization of graphs with two trivial distance ideals
Carlos A. Alfaro, Teresa I. Hoekstra-Mendoza, Juan Pablo Serrano +1
The distance ideals of graphs are algebraic invariants that generalize the Smith normal form (SNF) and the spectrum of several distance matrices associated with a graph. In general…