Laplacian spectral characterization of some graph products

Laplacians on shifted multicomplexes

Large 2-coloured matchings in 3-coloured complete hypergraphs

Large almost monochromatic subsets in hypergraphs

Large B_d-free and union-free subfamilies

Large chromatic number and Ramsey graphs

Large cliques in a power-law random graph

Large cliques in graphs with high chromatic number

Large components in random induced subgraphs of n-cubes

Large convexly independent subsets of Minkowski sums

Large cycles in 4-connected graphs

Large feedback arc sets, high minimum degree subgraphs, and long cycles in Eulerian digraphs

Large generalized books are p-good

Large induced trees in K_r-free graphs

Large joints in graphs

Large matchings in uniform hypergraphs and the conjectures of Erdos and Samuels

Large nearly regular induced subgraphs

Large Non-Planar Graphs and an Application to Crossing-Critical Graphs

Large rainbow matchings in large graphs

Large values of the Gowers-Host-Kra seminorms