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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.CO2024
Bivariate exponential integrals and edge-bicolored graphs
Michael Borinsky, Chiara Meroni, Maximilian Wiesmann
We show that specific exponential bivariate integrals serve as generating functions of labeled edge-bicolored graphs. Based on this, we prove an asymptotic formula for the number o…