DOAJ
Open Access
2017
Periodic balanced binary triangles
Jonathan Chappelon
Abstrak
A binary triangle of size $n$ is a triangle of zeroes and ones, with $n$ rows, built with the same local rule as the standard Pascal triangle modulo $2$. A binary triangle is said to be balanced if the absolute difference between the numbers of zeroes and ones that constitute this triangle is at most $1$. In this paper, the existence of balanced binary triangles of size $n$, for all positive integers $n$, is shown. This is achieved by considering periodic balanced binary triangles, that are balanced binary triangles where each row, column or diagonal is a periodic sequence.
Topik & Kata Kunci
Penulis (1)
J
Jonathan Chappelon
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2017
- Sumber Database
- DOAJ
- DOI
- 10.23638/DMTCS-19-3-13
- Akses
- Open Access ✓