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James G. Oxley
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Publications
- 2023
- [j141]Manoel Lemos, James G. Oxley:
An Upper Bound for the Circumference of a 3-Connected Binary Matroid. Electron. J. Comb. 30(1) (2023) - [j140]James G. Oxley, Jagdeep Singh:
Generalizing Cographs to 2-Cographs. Electron. J. Comb. 30(1) (2023) - [j139]Nick Brettell, James G. Oxley, Charles Semple, Geoff Whittle:
The excluded minors for 2- and 3-regular matroids. J. Comb. Theory, Ser. B 163: 133-218 (2023) - [j138]Nick Brettell, James G. Oxley, Charles Semple, Geoff Whittle:
Excluded minors are almost fragile II: Essential elements. J. Comb. Theory, Ser. B 163: 272-307 (2023) - 2022
- [j137]James G. Oxley, Simon Pfeil:
Unbreakable matroids. Adv. Appl. Math. 141: 102404 (2022) - [j134]Carolyn Chun, James G. Oxley, Kristen Wetzler:
The binary matroids with no odd circuits of size exceeding five. J. Comb. Theory, Ser. B 152: 80-120 (2022) - [j132]James G. Oxley, Jagdeep Singh:
The Smallest Classes of Binary and Ternary Matroids Closed under Direct Sums and Complements. SIAM J. Discret. Math. 36(3): 2051-2072 (2022) - 2021
- [j130]James G. Oxley, Jagdeep Singh:
Complementation, local complementation, and switching in binary matroids. Adv. Appl. Math. 126: 102041 (2021) - [j129]Ben Clark, Kevin Grace, James G. Oxley, Stefan H. M. van Zwam:
On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids. SIAM J. Discret. Math. 35(2): 1356-1380 (2021) - 2020
- [j128]Rutger Campbell, Kevin Grace, James G. Oxley, Geoff Whittle:
On Density-Critical Matroids. Electron. J. Comb. 27(2): 2 (2020) - [j127]George Drummond, Tara Fife, Kevin Grace, James G. Oxley:
Circuit-Difference Matroids. Electron. J. Comb. 27(3): 3 (2020) - [j126]Nick Brettell, Ben Clark, James G. Oxley, Charles Semple, Geoff Whittle:
Excluded minors are almost fragile. J. Comb. Theory, Ser. B 140: 263-322 (2020) - [j125]Tara Fife, Dillon Mayhew, James G. Oxley, Charles Semple:
The Unbreakable Frame Matroids. SIAM J. Discret. Math. 34(3): 1522-1537 (2020) - 2019
- [j124]Carolyn Chun, James G. Oxley:
Towards a splitter theorem for internally 4-connected binary matroids VII. Adv. Appl. Math. 104: 14-74 (2019) - [j123]James G. Oxley, Simon Pfeil, Charles Semple, Geoff Whittle:
Matroids with many small circuits and cocircuits. Adv. Appl. Math. 105: 1-24 (2019) - [j122]Carolyn Chun, James G. Oxley:
Internally 4-Connected Binary Matroids with Every Element in Three Triangles. Comb. 39(4): 825-845 (2019) - [j121]James G. Oxley, Charles Semple, Geoff Whittle:
A Splitter Theorem for 3-Connected 2-Polymatroids. Electron. J. Comb. 26(2): 2 (2019) - [j118]Tara Fife, James G. Oxley:
Generalized laminar matroids. Eur. J. Comb. 79: 111-122 (2019) - 2018
- [j115]Carolyn Chun, James G. Oxley:
Towards a splitter theorem for internally 4-connected binary matroids VI. Adv. Appl. Math. 101: 100-167 (2018) - [j114]Ben Clark, James G. Oxley, Stefan H. M. van Zwam:
Relaxations of GF(4)-Representable Matroids. Electron. J. Comb. 25(2): 2 (2018) - 2017
- [j113]Carolyn Chun, Dillon Mayhew, James G. Oxley:
Towards a splitter theorem for internally 4-connected binary matroids VIII: Small matroids. Adv. Appl. Math. 85: 12-30 (2017) - [j112]Tara Fife, James G. Oxley:
Laminar matroids. Eur. J. Comb. 62: 206-216 (2017) - 2016
- [j111]James G. Oxley, Kristen Wetzler:
The binary matroids whose only odd circuits are triangles. Adv. Appl. Math. 76: 34-38 (2016) - [j110]James G. Oxley, Charles Semple, Geoff Whittle:
Determining a Binary Matroid from its Small Circuits. Electron. J. Comb. 23(1): 1 (2016) - [j108]Carolyn Chun, Dillon Mayhew, James G. Oxley:
Towards a splitter theorem for internally 4-connected binary matroids IX: The theorem. J. Comb. Theory, Ser. B 121: 2-67 (2016) - [j107]James G. Oxley, Charles Semple, Geoff Whittle:
A Wheels-and-Whirls Theorem for 3-Connected 2-Polymatroids. SIAM J. Discret. Math. 30(1): 493-524 (2016) - [j106]Carolyn Chun, Guoli Ding, Dillon Mayhew, James G. Oxley:
Unavoidable Connected Matroids Retaining a Specified Minor. SIAM J. Discret. Math. 30(3): 1590-1606 (2016) - 2014
- [j105]Carolyn Chun, Dillon Mayhew, James G. Oxley:
Towards a splitter theorem for internally 4-connected binary matroids IV. Adv. Appl. Math. 52: 1-59 (2014) - [j104]Carolyn Chun, Dillon Mayhew, James G. Oxley:
Towards a splitter theorem for internally 4-connected binary matroids V. Adv. Appl. Math. 52: 60-81 (2014) - [j102]Carolyn Chun, Dillon Mayhew, James G. Oxley:
Towards a splitter theorem for internally 4-connected binary matroids II. Eur. J. Comb. 36: 550-563 (2014) - 2013
- [j101]Dillon Mayhew, James G. Oxley, Charles Semple:
Special issue in honor of Geoff Whittle. Adv. Appl. Math. 50(1): 1-5 (2013) - [j100]Carolyn Chun, Dillon Mayhew, James G. Oxley:
Constructing internally 4-connected binary matroids. Adv. Appl. Math. 50(1): 16-45 (2013) - [j99]Lisa Lowrance, James G. Oxley, Charles Semple, Dominic Welsh:
On properties of almost all matroids. Adv. Appl. Math. 50(1): 115-124 (2013) - [j98]Deborah Chun, James G. Oxley:
Capturing two elements in unavoidable minors of 3-connected binary matroids. Adv. Appl. Math. 50(1): 155-175 (2013) - [j97]James G. Oxley, Charles Semple:
Constructing a 3-tree for a 3-connected matroid. Adv. Appl. Math. 50(1): 176-200 (2013) - [j96]Carolyn Chun, Dillon Mayhew, James G. Oxley:
Towards a splitter theorem for internally 4-connected binary matroids III. Adv. Appl. Math. 51(2): 309-344 (2013) - 2012
- [j95]Jeremy Aikin, James G. Oxley:
The structure of the 4-separations in 4-connected matroids. Adv. Appl. Math. 48(1): 1-24 (2012) - [j94]Deborah Chun, James G. Oxley, Geoff Whittle:
Capturing matroid elements in unavoidable 3-connected minors. Eur. J. Comb. 33(6): 1100-1112 (2012) - [j93]James G. Oxley, Charles Semple, Geoff Whittle:
An upgraded Wheels-and-Whirls Theorem for 3-connected matroids. J. Comb. Theory, Ser. B 102(3): 610-637 (2012) - [j92]Carolyn Chun, Dillon Mayhew, James G. Oxley:
Towards a splitter theorem for internally 4-connected binary matroids. J. Comb. Theory, Ser. B 102(3): 688-700 (2012) - 2011
- [j91]James G. Oxley, Charles Semple, Geoff Whittle:
Exposing 3-separations in 3-connected matroids. Adv. Appl. Math. 47(3): 463-508 (2011) - [j89]Carolyn Chun, James G. Oxley:
Unavoidable parallel minors of regular matroids. Eur. J. Comb. 32(6): 762-774 (2011) - [j88]Dillon Mayhew, Bogdan Oporowski, James G. Oxley, Geoff Whittle:
The excluded minors for the class of matroids that are binary or ternary. Eur. J. Comb. 32(6): 891-930 (2011) - [j86]Carolyn Chun, Dillon Mayhew, James G. Oxley:
A chain theorem for internally 4-connected binary matroids. J. Comb. Theory, Ser. B 101(3): 141-189 (2011) - 2008
- [j84]James G. Oxley, Charles Semple, Geoff Whittle:
Maintaining 3-connectivity relative to a fixed basis. Adv. Appl. Math. 41(1): 1-9 (2008) - [j83]Jeremy Aikin, James G. Oxley:
The structure of crossing separations in matroids. Adv. Appl. Math. 41(1): 10-26 (2008) - [j81]James G. Oxley, Charles Semple, Geoff Whittle:
Wild triangles in 3-connected matroids. J. Comb. Theory, Ser. B 98(2): 291-323 (2008) - [j80]James G. Oxley, Charles Semple, Geoff Whittle:
A chain theorem for matroids. J. Comb. Theory, Ser. B 98(3): 447-483 (2008) - 2007
- [j79]Rhiannon Hall, James G. Oxley, Charles Semple:
The structure of 3-connected matroids of path width three. Eur. J. Comb. 28(3): 964-989 (2007) - [j78]James G. Oxley, Charles Semple, Geoff Whittle:
The structure of the 3-separations of 3-connected matroids II. Eur. J. Comb. 28(4): 1239-1261 (2007) - 2006
- [j77]Manoel Lemos, James G. Oxley:
Matroid packing and covering with circuits through an element. J. Comb. Theory, Ser. B 96(1): 135-158 (2006) - 2005
- [j76]Rhiannon Hall, James G. Oxley, Charles Semple:
The structure of equivalent 3-separations in a 3-connected matroid. Adv. Appl. Math. 35(2): 123-181 (2005) - 2004
- [j73]Rhiannon Hall, James G. Oxley, Charles Semple, Geoff Whittle:
Fork-decompositions of matroids. Adv. Appl. Math. 32(3): 523-575 (2004) - [j72]Manoel Lemos, James G. Oxley:
On the minor-minimal 2-connected graphs having a fixed minor. Discret. Math. 280(1-3): 77-118 (2004) - [j71]James G. Oxley, Haidong Wu:
The 3-Connected Graphs with Exactly Three Non-Essential Edges. Graphs Comb. 20(2): 233-246 (2004) - [j70]James F. Geelen, James G. Oxley, Dirk Vertigan, Geoff Whittle:
A short proof of non-GF(5)-representability of matroids. J. Comb. Theory, Ser. B 91(1): 105-121 (2004) - [j69]James G. Oxley, Charles Semple, Geoff Whittle:
The structure of the 3-separations of 3-connected matroids. J. Comb. Theory, Ser. B 92(2): 257-293 (2004) - 2003
- [j66]Manoel Lemos, James G. Oxley:
On the minor-minimal 3-connected matroids having a fixed minor. Eur. J. Comb. 24(8): 1097-1123 (2003) - [j65]Manoel Lemos, James G. Oxley:
On removable cycles through every edge. J. Graph Theory 42(2): 155-164 (2003) - 2002
- [j64]James G. Oxley, Dominic J. A. Welsh:
Chromatic, Flow And Reliability Polynomials: The Complexity Of Their Coefficients. Comb. Probab. Comput. 11(4): 403-426 (2002) - [j63]James G. Oxley, Charles Semple, Dirk L. Vertigan, Geoffrey P. Whittle:
Infinite antichains of matroids with characteristic set {p}. Discret. Math. 242(1-3): 175-185 (2002) - [j62]James F. Geelen, James G. Oxley, Dirk Vertigan, Geoffrey P. Whittle:
Totally Free Expansions of Matroids. J. Comb. Theory, Ser. B 84(1): 130-179 (2002) - [j61]Rhiannon Hall, James G. Oxley, Charles Semple, Geoffrey P. Whittle:
On Matroids of Branch-Width Three. J. Comb. Theory, Ser. B 86(1): 148-171 (2002) - 2000
- [j60]Manoel Lemos, James G. Oxley:
On the 3-connected matroids that are minimal having a fixed spanning restriction. Discret. Math. 218(1-3): 131-165 (2000) - [j59]James G. Oxley, Geoffrey P. Whittle:
On the non-uniqueness of q-cones of matroids. Discret. Math. 218(1-3): 271-275 (2000) - [j58]Manoel Lemos, James G. Oxley:
On size, circumference and circuit removal in 3-connected matroids. Discret. Math. 220(1-3): 145-157 (2000) - [j57]James G. Oxley, Haidong Wu:
On the Structure of 3-connected Matroids and Graphs. Eur. J. Comb. 21(5): 667-688 (2000) - [j56]James G. Oxley, Haidong Wu:
Matroids and Graphs with Few Non-Essential Elements. Graphs Comb. 16(2): 199-229 (2000) - [j55]Manoel Lemos, James G. Oxley, Talmage James Reid:
On the 3-Connected Matroids That are Minimal Having a Fixed Restriction. Graphs Comb. 16(3): 285-318 (2000) - [j54]James G. Oxley, Charles Semple, Dirk L. Vertigan:
Generalized Delta?-Y Exchange and k-Regular Matroids. J. Comb. Theory, Ser. B 79(1): 1-65 (2000) - [j53]James F. Geelen, James G. Oxley, Dirk Vertigan, Geoffrey P. Whittle:
On the Excluded Minors for Quaternary Matroids. J. Comb. Theory, Ser. B 80(1): 57-68 (2000) - 1999
- [j51]Manoel Lemos, James G. Oxley:
On removable circuits in graphs and matroids. J. Graph Theory 30(1): 51-66 (1999) - 1998
- [j48]Manoel Lemos, James G. Oxley:
On packing minors into connected matroids. Discret. Math. 189(1-3): 283-289 (1998) - [j47]James G. Oxley, Geoffrey P. Whittle:
On Weak Maps of Ternary Matroids. Eur. J. Comb. 19(3): 377-389 (1998) - [j46]James G. Oxley, Dirk L. Vertigan, Geoff Whittle:
On Maximum-Sized Near-Regular and 6Ö{1}-Matroids. Graphs Comb. 14(2): 163-179 (1998) - 1997
- [j44]Guoli Ding, Bogdan Oporowski, James G. Oxley, Dirk L. Vertigan:
Unavoidable Minors of Large 3-Connected Matroids. J. Comb. Theory, Ser. B 71(2): 244-293 (1997) - 1996
- [j43]Sandra R. Kingan, James G. Oxley:
On the matroids in which all hyperplanes are binary. Discret. Math. 160(1-3): 265-271 (1996) - [j42]Guoli Ding, Bogdan Oporowski, James G. Oxley, Dirk Vertigan:
Unavoidable Minors of Large 3-Connected Binary Matroids. J. Comb. Theory, Ser. B 66(2): 334-360 (1996) - [j41]James G. Oxley, Dirk L. Vertigan, Geoffrey P. Whittle:
On Inequivalent Representations of Matroids over Finite Fields. J. Comb. Theory, Ser. B 67(2): 325-343 (1996) - 1995
- [j40]James G. Oxley, Haidong Wu:
On matroid connectivity. Discret. Math. 146(1-3): 321-324 (1995) - [j39]Guoli Ding, Bogdan Oporowski, James G. Oxley:
On Infinite Antichains of Matroids. J. Comb. Theory, Ser. B 63(1): 21-40 (1995) - 1993
- [j38]James G. Oxley, Geoff Whittle:
Some exluded-minor theorems for a class of polymatroids. Comb. 13(4): 467-476 (1993) - [j36]Bogdan Oporowski, James G. Oxley, Robin Thomas:
Typical Subgraphs of 3- and 4-Connected Graphs. J. Comb. Theory, Ser. B 57(2): 239-257 (1993) - [j35]James G. Oxley, Geoffrey P. Whittle:
A Characterization of Tutte Invariants of 2-Polymatroids. J. Comb. Theory, Ser. B 59(2): 210-244 (1993) - 1992
- [j34]James G. Oxley, Geoff Whittle:
Connectivity of submodular functions. Discret. Math. 105(1-3): 173-184 (1992) - [j33]James G. Oxley, Dominic J. A. Welsh:
Tutte polynomials computable in polynomial time. Discret. Math. 109(1-3): 185-192 (1992) - 1991
- [j30]James G. Oxley, Geoff Whittle:
A Note on the Non-spanning Circuits of a Matroid. Eur. J. Comb. 12(3): 259-261 (1991) - [c1]James G. Oxley, Geoff Whittle:
Tuttle invariants for 2-polymatroids. Graph Structure Theory 1991: 9-19 - 1990
- [j26]James G. Oxley, Talmage James Reid:
The Smallest Rounded Sets of Binary Matroids. Eur. J. Comb. 11(1): 47-56 (1990) - 1988
- [j19]Joseph P. S. Kung, James G. Oxley:
Combinatorial geometries representable over GF(3) and GF(q). II. Dowling geometries. Graphs Comb. 4(1): 323-332 (1988)
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