3 papers
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.CO2025
Combinatorics of slices of cubes
Marie-Charlotte Brandenburg, Chiara Meroni
We present a complete computational classification of the combinatorial types of hyperplane sections, or slices, of the regular cube up to dimension six. For each dimension, we det…
math.MG2025
Semialgebraic rank-one convex hulls: 2x2 triangular matrices and beyond
Chiara Meroni, Bogdan Raita
We prove that the rank-one convex hull of finitely many triangular matrices is a semialgebraic set, defined by linear and quadratic polynomials. We present explicit con…