Geoff Whittle

Orcid: 0000-0003-0499-6389

According to our database1, Geoff Whittle authored at least 86 papers between 1984 and 2023.

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Bibliography

2023
Excluded minors are almost fragile II: Essential elements.
J. Comb. Theory B, November, 2023

The excluded minors for 2- and 3-regular matroids.
J. Comb. Theory B, November, 2023

Bounding Branch-Width.
Electron. J. Comb., 2023

2022
<i>N</i>-detachable pairs in 3-connected matroids III: The theorem.
J. Comb. Theory B, 2022

2021
<i>N</i>-detachable pairs in 3-connected matroids II: Life in <i>X</i>.
J. Comb. Theory B, 2021

Fractal classes of matroids.
Adv. Appl. Math., 2021

2020
<i>N</i>-detachable pairs in 3-connected matroids I: Unveiling <i>X</i>.
J. Comb. Theory B, 2020

Excluded minors are almost fragile.
J. Comb. Theory, Ser. B, 2020

On Density-Critical Matroids.
Electron. J. Comb., 2020

2019
On a Generalization of Spikes.
SIAM J. Discret. Math., 2019

A Splitter Theorem for 3-Connected 2-Polymatroids.
Electron. J. Comb., 2019

Matroids with many small circuits and cocircuits.
Adv. Appl. Math., 2019

2018
On Recognizing Frame and Lifted-Graphic Matroids.
J. Graph Theory, 2018

2017
Excluding Kuratowski graphs and their duals from binary matroids.
J. Comb. Theory B, 2017

2016
A Wheels-and-Whirls Theorem for 3-Connected 2-Polymatroids.
SIAM J. Discret. Math., 2016

The Structure of U<sub>2, 5</sub>, U<sub>3, 5</sub>-Fragile Matroids.
SIAM J. Discret. Math., 2016

Certifying non-representability of matroids over prime fields.
J. Comb. Theory B, 2016

Tangles and the Mona Lisa.
CoRR, 2016

Determining a Binary Matroid from its Small Circuits.
Electron. J. Comb., 2016

Connectivity functions and polymatroids.
Adv. Appl. Math., 2016

2014
Intertwining Connectivity in Matroids.
SIAM J. Discret. Math., 2014

2013
Tangles, trees, and flowers.
J. Comb. Theory B, 2013

On preserving matroid 3-connectivity relative to a fixed basis.
Eur. J. Comb., 2013

Inequivalent representations of matroids over prime fields.
Adv. Appl. Math., 2013

Structure in minor-closed classes of matroids.
Proceedings of the Surveys in Combinatorics 2013, 2013

2012
The structure of graphs with a vital linkage of order 2.
J. Graph Theory, 2012

An upgraded Wheels-and-Whirls Theorem for 3-connected matroids.
J. Comb. Theory B, 2012

Stability, fragility, and Rotaʼs Conjecture.
J. Comb. Theory B, 2012

Capturing matroid elements in unavoidable 3-connected minors.
Eur. J. Comb., 2012

2011
An Obstacle to a Decomposition Theorem for Near-Regular Matroids.
SIAM J. Discret. Math., 2011

The excluded minors for the class of matroids that are binary or ternary.
Eur. J. Comb., 2011

On the asymptotic proportion of connected matroids.
Eur. J. Comb., 2011

Exposing 3-separations in 3-connected matroids.
Adv. Appl. Math., 2011

2010
The projective plane is a stabilizer.
J. Comb. Theory B, 2010

On inequivalent representations of matroids over non-prime fields.
J. Comb. Theory B, 2010

2009
On excluded minors for real-representability.
J. Comb. Theory B, 2009

Growth rates of minor-closed classes of matroids.
J. Comb. Theory B, 2009

Tangles, tree-decompositions and grids in matroids.
J. Comb. Theory B, 2009

Addendum to matroid tree-width.
Eur. J. Comb., 2009

2008
A chain theorem for matroids.
J. Comb. Theory B, 2008

Wild triangles in 3-connected matroids.
J. Comb. Theory B, 2008

Maintaining 3-connectivity relative to a fixed basis.
Adv. Appl. Math., 2008

2007
Excluding a planar graph from GF(q)-representable matroids.
J. Comb. Theory B, 2007

The structure of the 3-separations of 3-connected matroids II.
Eur. J. Comb., 2007

2006
Matroid $T$-Connectivity.
SIAM J. Discret. Math., 2006

On Rota's conjecture and excluded minors containing large projective geometries.
J. Comb. Theory B, 2006

Obstructions to branch-decomposition of matroids.
J. Comb. Theory B, 2006

Matroid tree-width.
Eur. J. Comb., 2006

2005
Recent work in matroid representation theory.
Discret. Math., 2005

2004
Bridging Separations in Matroids.
SIAM J. Discret. Math., 2004

The structure of the 3-separations of 3-connected matroids.
J. Comb. Theory B, 2004

A short proof of non-GF(5)-representability of matroids.
J. Comb. Theory B, 2004

Inequivalent representations of matroids having no U<sub>3, 6</sub>-minor.
J. Comb. Theory B, 2004

Fork-decompositions of matroids.
Adv. Appl. Math., 2004

2003
Cliques in dense GF(q)-representable matroids.
J. Comb. Theory B, 2003

Disjoint cocircuits in matroids with large rank.
J. Comb. Theory B, 2003

On the excluded minors for the matroids of branch-width <i>k</i>.
J. Comb. Theory B, 2003

2002
On Matroids of Branch-Width Three.
J. Comb. Theory B, 2002

Branch-Width and Rota's Conjecture.
J. Comb. Theory B, 2002

Totally Free Expansions of Matroids.
J. Comb. Theory B, 2002

Branch-Width and Well-Quasi-Ordering in Matroids and Graphs.
J. Comb. Theory B, 2002

Infinite antichains of matroids with characteristic set {<i>p</i>}.
Discret. Math., 2002

2001
Matroid 4-Connectivity: A Deletion-Contraction Theorem.
J. Comb. Theory B, 2001

2000
On the Excluded Minors for Quaternary Matroids.
J. Comb. Theory B, 2000

On the non-uniqueness of <i>q</i>-cones of matroids.
Discret. Math., 2000

1999
The Parametrized Complexity of Some Fundamental Problems in Coding Theory.
SIAM J. Comput., 1999

Stabilizers of Classes of Representable Matroids.
J. Comb. Theory B, 1999

1998
On Maximum-Sized Near-Regular and <sup>6</sup>Ö{1}-Matroids.
Graphs Comb., 1998

On Weak Maps of Ternary Matroids.
Eur. J. Comb., 1998

1997
A 2-Isomorphism Theorem for Hypergraphs.
J. Comb. Theory B, 1997

1996
On Inequivalent Representations of Matroids over Finite Fields.
J. Comb. Theory B, 1996

Inequivalent representations of ternary matroids.
Discret. Math., 1996

1995
A Characterization of the Matroids Representable over <i>GF</i>(3) and the Rationals.
J. Comb. Theory B, 1995

1994
Oriented Matroids (A. Bjorner, M. Las Vergnas, B. Sturmfels, N. White, and G. Ziegler).
SIAM Rev., 1994

1993
A Characterization of Tutte Invariants of 2-Polymatroids.
J. Comb. Theory B, 1993

Recognizing Polymatroids Associated with Hypergraphs.
Comb. Probab. Comput., 1993

Some exluded-minor theorems for a class of polymatroids.
Comb., 1993

1992
Connectivity of submodular functions.
Discret. Math., 1992

Duality in Polymatroids and Set Functions.
Comb. Probab. Comput., 1992

1991
A Note on the Non-spanning Circuits of a Matroid.
Eur. J. Comb., 1991

Tuttle invariants for 2-polymatroids.
Proceedings of the Graph Structure Theory, 1991

1990
Quotients of dilworth truncations.
J. Comb. Theory B, 1990

1989
Dowling group geometries and the critical problem.
J. Comb. Theory B, 1989

1987
Modularity of tangential <i>k</i>-blocks.
J. Comb. Theory B, 1987

1985
An elementary proof that every matroid is an intersection of principal transversal matroids.
Discret. Math., 1985

1984
On the critical exponent of transversal matroids.
J. Comb. Theory B, 1984


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