#### Filter Results:

#### Publication Year

2010

2013

#### Publication Type

#### Co-author

#### Publication Venue

Learn More

- Alain Goupil, Hugo Cloutier, Fathallah Nouboud
- Discrete Applied Mathematics
- 2010

- Alain Goupil, Hugo Cloutier, Marie-Eve Pellerin
- Discrete Applied Mathematics
- 2013

We consider the family of 3D minimal polyominoes inscribed in a rectanglar prism. These objects are polyominos and so they are connected sets of unitary cubic cells inscribed in a given rectangular prism of size b×k×h and of minimal volume equal to b + k + h − 2. They extend the concept of minimal 2D polyominoes inscribed in a rectangle studied in a… (More)

We introduce a new family of polyominos that are inscribed in a rectangle of given size for which we establish a number of exact formulas and generating functions. In particular, we study polyominos inscribed in a rectangle with minimum area and minimum area plus one. These results are then used for the enumeration of lattice trees inscribed in a rectangle… (More)

- ‹
- 1
- ›