31 citations · 34 across the 4 of their papers we have counts for
4 papers
Lattice of Triangulations: the proof and an algorithm
Thinh D. Nguyen, Ha Duong Phan
In this paper, we prove that the set of triangulations of a polygon can be equipped with an order to become a lattice. First, we define this order. In [HN99], authors defined the f…
Characterisation of lattices induced by (extended) Chip Firing Games
Clemence Magnien, Ha Duong Phan, Laurent Vuillon
The Chip Firing Game (CFG) is a discrete dynamical model used in physics, computer science and economics. It is known that the set of configurations reachable from an initial confi…
The structure of Chip Firing Games and related models
Eric Goles, Michel Morvan, Ha Duong Phan
In this paper, we study the dynamics of sand grains falling in sand piles. Usually sand piles are characterized by a decreasing integer partition and grain moves are described in t…
The Lattice structure of Chip Firing Games and Related Models
M. Latapy, H. D. Phan
In this paper, we study a famous discrete dynamical system, the Chip Firing Game, used as a model in physics, economics and computer science. We use order theory and show that the…