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math.CO2023
Chromatic numbers for facet colouring of some generalised associahedra
Djordje Baralic, Jelena S. Ivanovic, Zoran Petric
The chromatic number related to a colouring of facets of certain classes of generalised associahedra is studied. The exact values are obtained for permutohedra, associahedra and si…
math.CO2023
Existence of a small cover over a 15-colorable simple 4-polytope
Djordje Baralic
The chromatic number for properly colouring the facets of a combinatorial simple -polytope that is the orbit space of a quasitoric manifold satisfies the inequality $n\leq…