Selected publications by topic
A full list of publications, ordered by publication date, is also available.
- Solving Rota's Conjecture AMS Notices 2014, With Bert Gerards and Geoff Whittle
- On Rota's Conjecture and nested separations in matroids arXiv:1310.6990. With Shalev Ben-David.
On Rota's Conjecture and excluded minors containing large projective geometries
JCTb 2006. With Bert Gerards and Geoff Whittle
The excluded minors for GF$(4)$-representable matroids
JCTb 2000. With Bert Gerards and Ajai Kapoor
Inequivalent representations of matroids over prime fields
AAM 2013. With Geoff Whittle
On inequivalent representations of matroids over non-prime fields
JCTb 2010. With Bert Gerards and Geoff Whittle
The projective plane is a stabilizer.
JCTb 2010. With Geoff Whittle
Growth rates of minor-closed classes of matroids.
JCTb 2009. With Joseph Kung and Geoff Whittle
Projective geometries in dense matroids.
JCTb 2008. With Kasper Kabell
Cliques in dense GF$(q)$-representable matroids
JCTb 2003. With Geoff Whittle
- The densest matroids in minor-closed classes with exponential growth rate, arXiv:1410.7676. With Peter Nelson.
Extremal matroid theory
- The critical number of dense triangle-free binary matroids, arXiv:1406.2588. With Peter Nelson.
- An analogue of the Erdos-Stone theorem for finite geometries Combinatorica 2015. With Peter Nelson.
- A Density Hales-Jewett Theorem for matroids JCTb 2015. With Peter Nelson.
The Erdos-Posa property for matroid circuits.
JCTb 2009. With Kasper Kabell
Excluding a planar graph from GF$(q)$-representable matroids
JCTb 2007. With Bert Gerards and Geoff Whittle
Branch width and well-quasi-ordering in matroids and graphs
JCTb 2002. With Bert Gerards and Geoff Whittle. Correction
Branch-width and Rota's conjecture
JCTb 2002. With Geoff Whittle
On the excluded minors for the matroids of branch-width $k$
JCTb 2003. With Bert Gerards, Neil Robertson, and Geoff Whittle
Matroid structure beyond finite fields
Some open problems on excluding a uniform matroid.
Representation of matroids with a modular plane
arXiv:1304.6448. With Rohan Kapadia.
Representability of matroids with a large projective geometry minor
JCTb 2015. With Rohan Kapadia.
Signed graphs and group-labelled graphs
Excluding a group-labelled graph
JCTb 2008. With Bert Gerards
The odd-minor variant of Hadwiger's conjecture,
JCTb 2009. With Bert Gerards, Bruce Reed, Paul Seymour, Adrian Vetta.
Packing odd circuits into Eulerian graphs
JCTb 2002. With Bertrand Guenin
Matchings and generalizations
Packing non-zero $A$-paths in group-labelled graphs
Combinatorica 2006. With Chudnovsky, Gerards, Goddyn, Lohman, and Seymour
An algorithm for packing non-zero $A$-paths in group-labelled graphs
Combinatorica 2008. With Maria Chudnovsky and Bill Cunningham
An algebraic matching algorithm
Matroid matching via mixed skew-symmetric matrices
Combinatorica 2005. With Satoru Iwata
Matroid $3$-connectivity and branch width
JCTb 2015. With Stefan van Zwam.
Generating weakly $4$-connected matroids
JCTb 2008. With Xaingqian Zhou
Matroid $4$-connectivity: a deletion-contraction theorem
JCTb 2001. With Geoff Whittle
A splitter theorem for internally $4$-connected binary matroids
SIAM J. Discrete Math 2006. With Xaingqian Zhou
Characterizing graphic matroids by a system of linear equations
JCTb 2013. With Bert Gerards.
Straight line embeddings of planar graphs with integer edge lengths
JGT 2008. With Anjie Guo and David McKinnon.