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math-ph2026
An edge-bicolored graph approach to the Ising model on random regular graphs
Michael Borinsky, Shiyue Ren, Maximilian Wiesmann
We give an exact solution of the ferromagnetic Ising model on a random regular graph ensemble via analytic combinatorics. Expressing the partition function as the generating functi…
math.CO2026
Asymptotic number of edge-colored regular graphs
Michael Borinsky, Chiara Meroni, Maximilian Wiesmann
We prove a formula for the asymptotic number of edge-colored regular graphs with a prescribed set of allowed vertex-incidence structures. The formula depends on specific critical p…
math.CO2026
Lee-Yang phenomena in edge-coloured graph counting
Maximilian Wiesmann
We study the accumulation of zeros of a polynomial arising from the enumeration of edge-coloured graphs along certain limit curves. The polynomial is a variant of an edge-chromatic…