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math.CO2026
A median degree from crossing graphs of median graphs
Anthony Genevois
The crossing graph of a median graph is defined as the graph whose vertices are the -classes of and whose edges connect two -classes whenever they…
math.CO2025
Cell structure of mediangle graphs
Victor Chepoi, Anthony Genevois, Kolja Knauer
Mediangle graphs are a common generalization of median graphs (1-sekeleta of CAT(0) cube complexes) and Coxeter graphs (Cayley graphs of Coxeter systems). Answering a question moti…