David Martinez

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math.CO2025

Metric Dimension of Generalized Theta Graphs

Nadia Benakli, Nicole Froitzheim, David Martinez

A vertex $w$ in a graph $G$ is said to resolve two vertices $u$ and $v$ if $d (w, u) \neq = d (w, v)$ . A set $W$ of vertices is a resolving set for $G$ if every pair of distinct vertices…

math.CO2025

Decomposition of Polysymmetric Functions and Stack Partitions

David Martinez

Polysymmetric functions, introduced by Asvin G and Andrew O'Desky as a generalization of symmetric functions, have natural connections to algebraic geometry and provide a foundatio…