4 papers · 1 filter
Inversion diameter and 2-edge-colored homomorphisms
Carmen Arana, Thomas Bellitto, Hector Buffière +3
In an oriented graph, the inversion of a subset of vertices X is the operation reversing the direction of every arc with both endpoints in X. Given a graph G, the inversion distanc…
Decomposing graphs into stable and ordered parts
Hector Buffière, Patrice Ossona de Mendez
Connections between structural graph theory and finite model theory recently gained a lot of attention. In this setting, many interesting questions remain on the properties of depe…
Blind cop-width and balanced minors of graphs
Hector Buffière, Rutger Campbell, Kevin Hendrey +1
We investigate a pursuit-evasion game on an undirected graph in which a robber, moving at a fixed constant speed, attempts to evade a team of cops who are blind to the robber's loc…
Shallow vertex minors, stability, and dependence
H. Buffière, E. Kim, P. Ossona de Mendez
Stability and dependence are model-theoretic notions that have recently proved highly effective in the study of structural and algorithmic properties of hereditary graph classes, a…