We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
We study the frugality ratio of truthful mechanisms in path auctions, which measures the extent to which truthful mechanisms “overpay” compared to non-truthful mechanisms. In p...
Subtree filament graphs are the intersection graphs of subtree filaments in a tree. This class of graphs contains subtree overlap graphs, interval filament graphs, chordal graphs,...
d abstract) Andr´e Joyal 1 D´epartement des math´ematiques Universit´e du Qu´ebec `a Montr´eal Canada Joachim Kock 2 3 Departament de matem`atiques Universitat Aut`onoma de B...
A mixed hypergraph is a triple H = (V, C, D) where V is the vertex set and C and D are families of subsets of V , the C-edges and D-edges, respectively. A k-colouring of H is a ma...