On the chromatic number of some flip graphs
Ruy Fabila‐Monroy, David Flores‐Peñaloza, Clemens Huemer, Ferrán Hurtado, Jorge Urrutia, David R. Wood · Discrete Mathematics & Theoretical Computer Science · 2009
Graphs and Algorithms This paper studies the chromatic number of the following four flip graphs (under suitable definitions of a flip): the flip graph of perfect matchings of a complete graph of even order, the flip graph of triangulations of a convex polygon (the associahedron), the flip graph of non-crossing Hamiltonian paths of a set of points in convex position, and the flip graph of triangles in a convex point set. We give tight bounds for the latter two cases and upper bounds for the first two.