Publications
This page contains links to most of my publications. Some others can be found on the
arxiv.
Submitted
2015 — 2017

Excluding Kuratowski graphs and their duals from binary matroids
With Gordon Royle and Geoff Whittle.
J. Comb. Theory, Ser. B 125 (2017) 95113.

Towards a splitter theorem for internally 4connected binary matroids IX: the theorem
With Carolyn Chun and James Oxley.
J. Comb. Theory, Ser. B 121 (2016) 267.

Towards a splitter theorem for internally 4connected binary matroids VIII: small matroids
With Carolyn Chun and James Oxley.
Adv. in Appl. Math. 85 (2017), 1230.

Unavoidable connected matroids retaining a specified minor
With Carolyn Chun, Guoli Ding, and James Oxley.
SIAM. Discrete Math. 30 (2016), no. 3, 15901606.

The structure of {U25,U35}fragile matroids
With Ben Clark, Geoff Whittle, and Stefan van Zwam.
SIAM. Discrete Math. 30 (2016), no. 3, 14801508.

Fanextensions in fragile matroids
With Carolyn Chun, Deborah Chun, and Stefan van Zwam.
Electron. J. Combin. 22 (2015), no. 2, Paper #P2.30.

Obstacles to decomposition theorems for sixthrootofunity matroids
With Carolyn Chun and Mike Newman.
Ann. Comb. 19 (2015), no. 1, 7993.
2013 — 2014

Is the missing axiom of matroid theory lost forever?
With Mike Newman and Geoff Whittle.
Q. J. Math. 65 (2014), no. 4, 13971415.

Maximum size binary matroids with no AG(3,2)minor are graphic
With Joseph Kung, Irene Pivotto, and Gordon Royle.
SIAM J. Discrete Math. 28 (2014), no. 3, 15591577.

Towards a splitter theorem for internally 4connected binary matroids V
With Carolyn Chun and James Oxley.
Adv. in Appl. Math. 52 (2014), no. 1, 6081.

Towards a splitter theorem for internally 4connected binary matroids IV
With Carolyn Chun and James Oxley.
Adv. in Appl. Math. 52 (2014), no. 1, 159.

Towards a splitter theorem for internally 4connected binary matroids III
With Carolyn Chun and James Oxley.
Adv. in Appl. Math. 51 (2013), no. 2, 309344.

Towards a splitter theorem for internally 4connected binary matroids II
With Carolyn Chun and James Oxley.
European J. Combin. 36 (2014) 550563.

Constructing internally 4connected binary matroids
With Carolyn Chun and James Oxley.
Adv. in Appl. Math. 50 (2013), no. 1, 1645.

On the number of sparse paving matroids
With Dominic Welsh.
Adv. in Appl. Math. 50 (2013), no. 1, 125131.

On the relative importance of excluded minors
With Rhiannon Hall and Stefan van Zwam.
Adv. in Appl. Math. 50 (2013), no. 1, 228242.
2011 — 2012

The structure of graphs with a vital linkage of order 2
With Geoff Whittle and Stefan van Zwam.
J. Graph Theory 71 (2012), no. 2, 176181.

The internally 4connected binary matroids with no M(K5\e)minor
With Gordon Royle.
SIAM J. Disc. Math. 26 (2012), no. 2, 755767.

Stability, fragility, and Rota's conjecture
With Geoff Whittle and Stefan van Zwam.
J. Comb. Theory, Ser. B 102 (2012), no. 3, 760783.

Towards a splitter theorem for internally 4connected binary matroids
With Carolyn Chun and James Oxley.
J. Comb. Theory, Ser. B 102 (2012), no. 3, 688700.

The excluded minors for the class of matroids that are binary or ternary
With Bogdan Oporowski, James Oxley, and Geoff Whittle.
European J. Combin. 32 (2011), no. 6, 891930.

On the asymptotic proportion of connected matroids
With Mike Newman, Dominic Welsh, and Geoff Whittle.
European J. Combin. 32 (2011), no. 6, 882890.

The excluded minors for nearregular matroids
With Rhiannon Hall and Stefan van Zwam.
European J. Combin. 32 (2011), no. 6, 802830.

A chain theorem for internally 4connected binary matroids
With Carolyn Chun and James Oxley.
J. Combin. Theory Ser. B 101 (2011), no. 3, 141189.

An obstacle to a decomposition theorem for nearregular matroids
With Geoff Whittle and Stefan van Zwam.
SIAM J. Discrete Math. 25 (2011), no. 1, 271279.
pre2011

The internally 4connected binary matroids with no M(K3,3)minor
With Gordon Royle and Geoff Whittle.
Memoirs of the AMS, 208 (2010), no. 981.

On excluded minors for realrepresentability
With Mike Newman and Geoff Whittle.
J. Combin. Theory Ser. B 99 (2009), no. 4, 685689.

Contracting an element from a cocircuit
With Rhiannon Hall.
Adv. in Appl. Math. 41 (2008), no. 4, 510529.

Matroids with nine elements
With Gordon Royle.
J. Combin. Theory Ser. B 98 (2008), no. 2, 415431.

Matroid complexity and nonsuccinct descriptions
SIAM J. Discrete Math. 22 (2008), no. 2, 455466.

Circuits and cocircuits in regular matroids
Graphs Combin. 22 (2006), no. 3, 383389.

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

Inequivalent representations of bias matroids
Combin. Probab. Comput. 14 (2005), no. 4, 567583.

Families of matroids induced by classes of graphs
Adv. in Appl. Math. 34 (2005), no. 3, 616633.