3 papers
math.CO2026
Polyominoes with maximal number of deep holes
Djordje Baralic, Shiven Uppal
In this paper, we study the extremal behaviour of deep holes in polyominoes. We determine the maximum number, of deep holes that an -omino can enclose, ensuring that the b…
math.CO2025
Magical Property of Fullerenes
Djordje Baralic, Adam Farhat
Fullerenes are an allotrope of carbon having hollow, cage-like structure. Atoms in the molecule are arranged in pentagonal and hexagonal rings, such that each atom is connected to…
math.CO2024
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…