3 papers
math.CO2023
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…
math.CO2023
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…
math.CO2023
Some Refinements of Formulae Involving Floor and Ceiling Functions
Luka Podrug, Dragutin Svrtan
The floor and ceiling functions appear often in mathematics and manipulating sums involving floors and ceilings is a subtle game. Fortunately, the well-known textbook Concrete Math…