4 papers · 1 filter
Predators and altruists arriving on jammed Riviera
Tomislav Došlić, Mate Puljiz, Stjepan Šebek +1
The Riviera model is a combinatorial model for a settlement along a coastline, introduced recently by the authors. Of most interest are the so-called jammed states, where no more h…
Metallic cubes
Tomislav Došlić, Luka Podrug
We study a recursively defined two-parameter family of graphs which generalize Fibonacci cubes and Pell graphs and determine their basic structural and enumerative properties. In p…
Sweet division problems: from chocolate bars to honeycomb strips and back
Tomislav Došlić, Luka Podrug
We consider two division problems on narrow strips of square and hexagonal lattices. In both cases we compute the bivariate enumerating sequences and the corresponding generating f…
Complexity Function of Jammed Configurations of Rydberg Atoms
Tomislav Došlić, Mate Puljiz, Stjepan Šebek +1
In this article, we determine the complexity function (configurational entropy) of jammed configurations of Rydberg atoms on a one-dimensional lattice. Our method consists of provi…