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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.CO2026
Skirting the -tuples
Sam Adriaensen, Ferdinand Ihringer, William J. Martin +1
Let and be given. The set is a metric space of diameter under the Hamming metric . We seek a smallest set t…