1 citations · 6 across the 16 of their papers we have counts for
19 papers
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…
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…
Orthogonality related to Steiner and Pappus chains
Djordje Baralic, Vladimir Bozovic, Nikola Radojicic
The focus of this paper is on the study of specific circle formations known as orthogonal Pappus chains and the related incidence results that involve points of tangency between th…
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…
The Magic Permutohedron
Djordje Baralic, Lazar Milenkovic
We present a configuration called a magic permutohedron that shows the placement of the numbers of in the vertices of the permutohedra so that the sum of n…
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…