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math.CO2026
Extremal Spanning Trees in Product Grid Graphs
Jiechen Zhang
We compare spanning-tree counts at a fixed number of vertices for Cartesian products of paths , , or cycles , . With the number of factors fixed, an equ…
math.CO2026
Spanning-Tree Maximization Forces Isoperimetry in the Square Lattice
Jiechen Zhang
We determine which connected sets of vertices in the square lattice support the most spanning trees, using all lattice edges between the chosen vertices. Every maximizer minimi…