4 papers
Token sliding on graphs of girth five
Valentin Bartier, Nicolas Bousquet, Jihad Hanna +2
In the Token Sliding problem we are given a graph and two independent sets and in of size . The goal is to decide whether there exists a sequence $\la…
Galactic Token Sliding
Valentin Bartier, Nicolas Bousquet, Amer E. Mouawad
Given a graph and two independent sets and of size , the independent set reconfiguration problem asks whether there exists a sequence of -sized independent se…
Recoloring graphs of treewidth 2
Valentin Bartier, Nicolas Bousquet, Marc Heinrich
Two (proper) colorings of a graph are adjacent if they differ on exactly one vertex. Jerrum proved that any -coloring of any d-degenerate graph can be transformed into any…
Linear transformations between colorings in chordal graphs
Nicolas Bousquet, Valentin Bartier
Let and be such that . Consider two -colorings of a -degenerate graph . Can we transform one into the other by recoloring one vertex at each step while…