Here are some papers available on-line (see ps, pdf for journals and publication dates).

Published in 2004:

Graph minors. XX. Wagner's conjecture (with Neil Robertson), (.pdf version )

Hadwiger's conjecture for line graphs (with Bruce Reed), (.pdf version )

Published in 2005:

Recognizing Berge graphs (with M. Chudnovsky, G. Cornuejols, X. Liu, K. Vuskovic), (.pdf version )

Detecting even holes (with Maria Chudnovsky and Ken-ichi Kawarabayashi), (.pdf version )

The structure of claw-free graphs (with Maria Chudnovsky), (.pdf version )

Published in 2006:

The strong perfect graph theorem (with M. Chudnovsky, N. Robertson, R. Thomas), (.pdf version )

How the proof of the strong perfect graph conjecture was found, (.pdf version )

Approximating clique-width and branch-width (with Sang-Il Oum), (.pdf version )

Proper minor-closed families are small (with Serguei Norine, Robin Thomas and Paul Wollan), (.pdf version )

Certifying large branch-width (with Sang-Il Oum), (.pdf version )

Packing non-zero A-paths in group-labeled graphs (with M. Chudnovsky, J. Geelen, A. Gerards, L. Goddyn, M. Lohman), (.pdf version )

Published in 2007:

The roots of the independence polynomial of a claw-free graph (with Maria Chudnovsky), (.pdf version )

Claw-free graphs I. Orientable prismatic graphs (with Maria Chudnovsky), (.pdf version )

Excluding induced subgraphs (with Maria Chudnovsky), (.pdf version )

Testing branchwidth (with Sang-Il Oum), (.pdf version ). See also a Corrigendum, (.pdf version )

Published in 2008:

Claw-free graphs II. Non-orientable prismatic graphs (with Maria Chudnovsky), (.pdf version )

Claw-free graphs III. Circular interval graphs (with Maria Chudnovsky), (.pdf version )

Claw-free graphs IV. Decomposition theorem (with Maria Chudnovsky), (.pdf version )

Claw-free graphs V. Global structure (with Maria Chudnovsky), (.pdf version )

Cycles in dense digraphs (with Maria Chudnovsky, Blair Sullivan), (.pdf version )

Solution of three problems of Cornuejols (with Maria Chudnovsky), (.pdf version )

Bisimplicial vertices in even-hole-free graphs (with L.Addario-Berry, M.Chudnovsky, F.Havet, B.Reed), (.pdf version )

Published in 2009:

Graph minors. XXI. Graphs with unique linkages (with Neil Robertson), (.pdf version )

On the odd-minor variant of Hadwiger's conjecture (with Jim Geelen, Bert Gerards, Bruce Reed, Adrian Vetta), (.pdf version )

Even pairs in Berge graphs (with Maria Chudnovsky), (.pdf version )

Published in 2010:

Graph minors. XXIII. Nash-Williams' immersion conjecture (with Neil Robertson), (.pdf version )

Claw-free graphs VI. Colouring (with Maria Chudnovsky), (.pdf version )

The three-in-a-tree problem (with Maria Chudnovsky), (.pdf version )

K_4-free graphs with no odd holes (with Maria Chudnovsky, Neil Robertson and Robin Thomas), (.pdf version )

Counting paths in digraphs (with Blair Sullivan), (.pdf version )

Published in 2011:

The edge-density for K_{2,t} minors (with Maria Chudnovsky and Bruce Reed), (.pdf version )

A well-quasi-order for tournaments (with Maria Chudnovsky), (.pdf version )

Published in 2012:

Graph minors. XXII. Irrelevant vertices in linkage problems (with Neil Robertson), (.pdf version )

Claw-free graphs VII. Quasi-line graphs (with Maria Chudnovsky), (.pdf version )

Perfect matchings in planar cubic graphs (with Maria Chudnovsky), (.pdf version )

Packing seagulls (with Maria Chudnovsky), (.pdf version )

Finding minimum clique capacity (with Maria Chudnovsky and Sang-Il Oum), (.pdf version )

Tournament immersion and cutwidth (with Maria Chudnovsky and Alexandra Fradkin), (.pdf version )

Growing without cloning (with Maria Chudnovsky), (.pdf version )

Three-colourable perfect graphs without even pairs (with Maria Chudnovsky), (.pdf version )

Published in 2013:

Tournaments and colouring (with E. Berger, K. Choromanski, M. Chudnovsky, J. Fox, M. Loebl, A. Scott, S. Thomasse), (.pdf version )

A counterexample to a conjecture of Schwartz (with F. Brandt, M. Chudnovsky, I. Kim, G. Liu, S. Norin, A. Scott, S. Thomasse), (.pdf version )

Tournament path-width and topological containment (with Alexandra Fradkin), (.pdf version )

A local strengthening of Reed's omega, Delta, and chi conjecture for quasi-line graphs (with M. Chudnovsky, A. King, M. Plumettaz), (.pdf version )

Detecting an induced net subdivision (with Maria Chudnovsky, Nicolas Trotignon), (.pdf version )

Published in 2014:

Proof of a conjecture of Bowlin and Brin on four-colouring triangulations, (.pdf version )

Rao's degree sequence conjecture (with Maria Chudnovsky), (.pdf version )

Extending the Gyarfas-Sumner conjecture (with Maria Chudnovsky), (.pdf version )

Not yet published:

Cut coloring and circuit covering (with Matt Devos, Thor Johnson), (.pdf version )

Disjoint paths in tournaments (with Maria Chudnovsky, Alex Scott), (.pdf version )

Edge-disjoint paths in digraphs with bounded independence number (with Alexandra Fradkin), (.pdf version )

Tree-width and planar minors (with Alexander Leaf), (.pdf version )

Tournament minors (with Ilhee Kim), (.pdf version )

Tournaments with near-linear transitive subsets (with Krzysztof Choromanski, Maria Chudnovsky), (.pdf version )

Edge-colouring eight-regular planar graphs (with Maria Chudnovsky, Katherine Edwards), (.pdf version )

Edge-colouring seven-regular planar graphs (with Maria Chudnovsky, Katherine Edwards, Ken-ichi Kawarabayashi), (.pdf version )

Excluding a near-clique and a near-anticlique (with Maria Chudnovsky, Sergey Norin, Bruce Reed), (.pdf version )

Excluded minors in cubic graphs (with Neil Robertson, Robin Thomas), (.pdf version )

Rooted grid minors (with Daniel Marx, Paul Wollan), (.pdf version )

Immersion in four-edge-connected graphs (with Maria Chudnovsky, Zdenek Dvorak, Tereza Klimosova), (.pdf version )

Criticality for multicommodity flows, (.pdf version )

Excluding paths and antipaths (with Maria Chudnovsky), (.pdf version )

Excluding pairs of graphs (with Maria Chudnovsky, Alex Scott), (.pdf version )

Disjoint dijoins (with Maria Chudnovsky, Katie Edwards, Ringi Kim, Alex Scott), (.pdf version )

Girth six cubic graphs have Petersen minors (with Neil Robertson, Robin Thomas), (.pdf version )