Publications

This page contains selected publications. You can find some of these on arxiv.org, or you can return to my homepage.

• An obstacle to a decomposition theorem for near-regular matroids
  With Geoff Whittle and Stefan van Zwam.
  Submitted for publication.

• The excluded minors for the matroids that are binary or ternary
  With Bogdan Oporowski, James Oxley, and Geoff Whittle.
  Submitted for publication.

• A chain theorem for internally 4-connected binary matroids
  With Carolyn Chun and James Oxley.
  Submitted for publication.

• Excluding Kuratowski graphs and their duals from binary matroids
  With Gordon Royle and Geoff Whittle.
  Submitted for publication.

• The excluded minors for near-regular matroids
  With Rhiannon Hall and Stefan van Zwam.
  To appear in the European Journal of Combinatorics.

• The asymptotic proportion of connected matroids
  With Mike Newman, Dominic Welsh, and Geoff Whittle.
  To appear in the European Journal of Combinatorics.

• The internally 4-connected binary matroids with no M(K3,3)-minor
  With Gordon Royle and Geoff Whittle.
  To appear in the Memoirs of the American Mathematical Society.

• On excluded minors for real-representability
  With Mike Newman and Geoff Whittle.
  J. Combin. Theory Ser. B 99 (2009), no. 4, 685--689.

• Contracting an element from a cocircuit
  With Rhiannon Hall.
  Adv. in Appl. Math. 41 (2008), no. 4, 510--529.

• Matroids with nine elements
  With Gordon Royle.
  J. Combin. Theory Ser. B 98 (2008), no. 2, 415--431.

• Matroid complexity and nonsuccinct descriptions
  SIAM J. Discrete Math. 22 (2008), no. 2, 455--466.

• Circuits and cocircuits in regular matroids
  Graphs Combin. 22 (2006), no. 3, 383--389.

• Equitable matroids
  Electron. J. Combin. 13 (2006), no. 1, Research Paper 41.

• Inequivalent representations of bias matroids
  Combin. Probab. Comput. 14 (2005), no. 4, 567--583.

• Families of matroids induced by classes of graphs
  Adv. in Appl. Math. 34 (2005), no. 3, 616--633.