James Grieve Oxley
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Combinatorics
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Mathematics
Why Is James Grieve Oxley Influential?
(Suggest an Edit or Addition)James Grieve Oxley's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Matroid theory (1992) (2658)
- Matroid Applications: The Tutte Polynomial and Its Applications (1992) (342)
- Matroid Theory (Oxford Graduate Texts in Mathematics) (2006) (221)
- Homogeneous multivariate polynomials with the half-plane property (2002) (193)
- On weakly symmetric graphs of order twice a prime (1987) (183)
- Typical Subgraphs of 3- and 4-Connected Graphs (1993) (98)
- On Inequivalent Representations of Matroids over Finite Fields (1996) (64)
- The structure of the 3-separations of 3-connected matroids (2004) (62)
- The binary matroids with no 4-wheel minor (1987) (57)
- On nonbinary 3-connected matroids (1987) (48)
- On the Structure of 3-connected Matroids and Graphs (2000) (47)
- WHAT IS A MATROID (2014) (41)
- Unavoidable Minors of Large 3-Connected Binary Matroids (1996) (40)
- Tutte polynomials computable in polynomial time (1992) (39)
- COLOURING, PACKING AND THE CRITICAL PROBLEM (1978) (38)
- On connectivity in matroids and graphs (1981) (36)
- Unavoidable Minors of Large 3-Connected Matroids (1997) (36)
- A Characterization of Tutte Invariants of 2-Polymatroids (1993) (34)
- Chromatic, Flow and Reliability Polynomials: The Complexity of their Coefficients (2002) (33)
- A characterization of the ternary matroids with no M(K4)-minor (1987) (31)
- The Broken-circuit Complex: Its Structure and Factorizations (1981) (29)
- Generalized Delta?-Y Exchange and k-Regular Matroids (2000) (29)
- Totally Free Expansions of Matroids (2002) (29)
- A sharp bound on the size of a connected matroid (2001) (28)
- On the interplay between graphs and matroids (2005) (25)
- On Crapo's Beta Invariant for Matroids (1982) (25)
- The regular matroids with no 5-wheel minor (1989) (25)
- Weak Maps and Stabilizers of Classes of Matroids (1998) (25)
- Some Local Extremal Connectivity Results for Matroids (1993) (24)
- A chain theorem for internally 4-connected binary matroids (2011) (22)
- On 3-Connected Matroids (1981) (22)
- Several identities for the characteristic polynomial of a combinatorial geometry (1980) (21)
- Combinatorial geometries representable over GF(3) and GF(q). II. Dowling geometries (1988) (21)
- A Characterization of Certain Excluded-Minor Classes of Matroids (1989) (19)
- On removable circuits in graphs and matroids (1999) (19)
- Theory of Matroids: Graphs and Series-Parallel Networks (1986) (18)
- On Maximum-Sized Near-Regular and -Matroids (1998) (18)
- Matroids whose ground sets are domains of functions (1982) (18)
- Extensions of Tutte's wheels-and-whirls theorem (1992) (18)
- Cocircuit coverings and packings for binary matroids (1978) (17)
- A characterization of a class of non-binary matroids (1990) (17)
- The structure of the 3-separations of 3-connected matroids II (2007) (17)
- On matroid connectivity (1981) (17)
- The structure of crossing separations in matroids (2008) (17)
- Asymptotic properties of random subsets of projective spaces (1982) (17)
- Maintaining 3-connectivity relative to a fixed basis (2008) (17)
- On the intersections of circuits and cocircuits in matroids (1984) (17)
- On Weak Maps of Ternary Matroids (1998) (16)
- On Maximum-Sized Near-Regular and 16 p-Matroids (1998) (16)
- Matroid Applications: Infinite Matroids (1992) (16)
- On size, circumference and circuit removal in 3-connected matroids (2000) (16)
- On a matroid generalization of graph connectivity (1981) (15)
- Wild triangles in 3-connected matroids (2008) (14)
- On packing minors into connected matroids (1998) (14)
- The Smallest Rounded Sets of Binary Matroids (1990) (14)
- The structure of 3-connected matroids of path width three (2007) (14)
- On some percolation results of J. M. Hammersley (1979) (13)
- On a packing problem for infinite graphs and independence spaces (1979) (13)
- On Matroids of Branch-Width Three (2002) (12)
- On some extremal connectivity results for graphs and matroids (1982) (12)
- Towards a splitter theorem for internally 4-connected binary matroids III (2013) (12)
- Towards a splitter theorem for internally 4-connected binary matroids (2012) (11)
- Laminar matroids (2016) (11)
- On Infinite Antichains of Matroids (1995) (11)
- The structure of equivalent 3-separations in a 3-connected matroid (2005) (10)
- THRESHOLD FUNCTIONS FOR SOME PROPERTIES OF RANDOM SUBSETS OF PROJECTIVE SPACES (1982) (10)
- A note on Negami's polynomial invariants for graphs (1989) (10)
- An upgraded Wheels-and-Whirls Theorem for 3-connected matroids (2012) (10)
- Dependencies Among Dependencies in Matroids (2019) (9)
- When excluding one matroid prevents infinite antichains (2010) (9)
- Tuttle invariants for 2-polymatroids (1991) (9)
- On properties of almost all matroids (2013) (9)
- On minor-minimally-connected matroids (1984) (9)
- Towards a splitter theorem for internally 4-connected binary matroids V (2014) (9)
- A chain theorem for matroids (2008) (8)
- Towards a splitter theorem for internally 4-connected binary matroids II (2012) (8)
- On inequivalent representations of matroids (1996) (8)
- A Note on the Non-spanning Circuits of a Matroid (1991) (8)
- On Random Representable Matroids (1984) (7)
- Some excluded-minor theorems for a class of polymatroids (1993) (7)
- Threshold distribution functions for some random representable matroids (1984) (7)
- A matroid generalization of a result of Dirac (1997) (7)
- Towards a splitter theorem for internally 4-connected binary matroids IV (2014) (7)
- On singleton 1-rounded sets of matroids (1984) (7)
- On series-parallel extensions of uniform matroids (2003) (7)
- On the Excluded Minors for Quaternary Matroids (2000) (7)
- Connectivity of submodular functions (1992) (7)
- Matroids and Graphs with Few Non-Essential Elements (2000) (7)
- Matroids with many small circuits and cocircuits (2019) (6)
- On the matroids representable over GF(4) (1986) (6)
- A Note on the Critical Problem for Matroids (1984) (6)
- Fork-decompositions of matroids (2004) (6)
- The structure of the 4-separations in 4-connected matroids (2012) (6)
- On a covering problem of Mullin and Stanton for binary matroids (1979) (6)
- Some extremal connectivity results for matroids (1991) (6)
- On a matroid identity (1983) (6)
- On removable cycles through every edge (2003) (6)
- Constructive characterizations of 3-connected matroids of path width three (2008) (5)
- Infinite graphs and bicircular matroids (1977) (5)
- On two classes of nearly binary matroids (2012) (5)
- Constructing internally 4-connected binary matroids (2013) (5)
- On the non-uniqueness of q-cones of matroids (2000) (5)
- The excluded minors for the class of matroids that are binary or ternary (2011) (5)
- Towards a splitter theorem for internally 4-connected binary matroids IX: The theorem (2016) (5)
- Ternary paving matroids (1991) (5)
- Constructing a 3-tree for a 3-connected matroid (2013) (4)
- On ternary transversal matroids (1986) (4)
- A generalization of a covering problem of mullin and stanton for matroids (1979) (4)
- A Splitter Theorem for 3-Connected 2-Polymatroids (2017) (4)
- A short proof of non-GF(5)-representability of matroids (2004) (4)
- Capturing two elements in unavoidable minors of 3-connected binary matroids (2013) (4)
- Unavoidable parallel minors of regular matroids (2011) (4)
- Exposing 3-separations in 3-connected matroids (2011) (4)
- On the minor-minimal 3-connected matroids having a fixed minor (2003) (4)
- On the 3-connected matroids that are minimal having a fixed spanning restriction (2000) (4)
- Excluded minors are almost fragile (2016) (3)
- On fixing elements in matroid minors (1989) (3)
- Capturing matroid elements in unavoidable 3-connected minors (2012) (3)
- On the 3-Connected Matroids That are Minimal Having a Fixed Restriction (2000) (3)
- The binary matroids whose only odd circuits are triangles (2016) (3)
- A notion of minor-based matroid connectivity (2017) (3)
- Generalized laminar matroids (2018) (3)
- On an excluded-minor class of matroids (1990) (3)
- A Wheels-and-Whirls Theorem for 3-Connected 2-Polymatroids (2016) (3)
- On the Numbers of Bases and Circuits in Simple Binary Matroids (1983) (3)
- Algebraic Graph Theory (2003) (3)
- Towards a splitter theorem for internally 4-connected binary matroids VI (2016) (3)
- On pancyclic representable matroids (2005) (2)
- The excluded minors for 2- and 3-regular matroids (2022) (2)
- The structure of a 3-connected matroid with a 3-separating set of essential elements (2003) (2)
- The Unbreakable Frame Matroids (2020) (2)
- A class of non-binary matroids with many binary minors (1999) (2)
- Internally 4-Connected Binary Matroids with Every Element in Three Triangles (2016) (2)
- Partial Support for the Twenty-Second Southeastern International Conference on Combinatorics, Graph Theory and Computing (1991) (2)
- The binary matroids with no odd circuits of size exceeding five (2022) (2)
- THE CONTRIBUTIONS OF DOMINIC WELSH TO MATROID THEORY (2007) (2)
- On Circuit Exchange Properties for Matroids (1988) (2)
- Matroid packing and covering with circuits through an element (2006) (2)
- The 3-Connected Graphs with Exactly Three Non-Essential Edges (2004) (2)
- Process-Selection Criteria (2015) (2)
- Circuit-Difference Matroids (2020) (1)
- Towards a splitter theorem for internally 4-connected binary matroids VIII: Small matroids (2017) (1)
- On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids (2019) (1)
- ON THE EXCLUDED MINORS FOR THE MATROIDS THATARE EITHER BINARY OR (1997) (1)
- On cographic regular matroids (1979) (1)
- On the cogirth of binary matroids (2021) (1)
- Towards a splitter theorem for internally 4-connected binary matroids VII (2019) (1)
- A Matroid Extension Result (2018) (1)
- On packing 3-connected restrictions into 3-connected matroids (1998) (1)
- Excluded minors are almost fragile II: essential elements (2022) (1)
- Proof of a conjecture of Kahn for non-binary matroids (1985) (1)
- Matroid theory : AMS-IMS-SIAM Joint Summer Research Conference on Matroid Theory, July 2-6, 1995, University of Washington, Seattle (1996) (1)
- A circuit covering result for matroids (1980) (1)
- A Note on the Connectivity of 2-Polymatroid Minors (2019) (1)
- On a class of nearly binary matroids (2012) (0)
- On 3-Connected Matroids and Graphs (2010) (0)
- On sign-representable matroids (1993) (0)
- On Density-Critical Matroids (2019) (0)
- Complementation, local complementation, and switching in binary matroids (2019) (0)
- Basic Definitions and Examples (2011) (0)
- Preface (2011) (0)
- Panelling Planar Graphs (1998) (0)
- BRIEFLY, WHAT IS A MATROID? (2018) (0)
- UNAVOIDABLE PARALLEL MINORS AND SERIES MINORS OF REGULAR MATROIDS (2009) (0)
- The Smallest Classes of Binary and Ternary Matroids Closed under Direct Sums and Complements (2022) (0)
- William T. Tutte (1917–2002), Volume 51, Number 3 (2004) (0)
- On Hartfiel and Maxson's definition of connected sets of a matroid (1980) (0)
- On the minor-minimal 2-connected graphs having a fixed minor (2004) (0)
- Determining a Binary Matroid from its Small Circuits (2016) (0)
- Excluded-Minor Theorems (2011) (0)
- Some problems in combinatorial geometry (1978) (0)
- Seymour's Decomposition Theorem (2011) (0)
- The Splitter Theorem (2011) (0)
- Excluded-minor Characterization of Apex-outerplanar Graphs List of Figures 2.1 Starting List of Excluded Minors for O (0)
- The smallest class of binary matroids closed under direct sums and complements (2021) (0)
- ODD CIRCUITS IN BINARY MATROIDS (2022) (0)
- Bounding the number of bases of a matroid (2022) (0)
- Unavoidable Minors of Large 2- and 3-Connected Matroids (2012) (0)
- Ordering Circuits of Matroids (2022) (0)
- On bipartite restrictions of binary matroids (2011) (0)
- On Minors Avoiding Elements in Matroids (1991) (0)
- Infinite anitchains of matroids with characteristics set {p} (2002) (0)
- Special issue in honor of Geoff Whittle (2013) (0)
- On the matroids in which all hyperplanes are binary (1996) (0)
- Integrating Research Into the Undergraduate Environmental Chemistry Curriculum (2005) (0)
- Relaxations of GF(4)-Representable Matroids (2017) (0)
- On Inequivalent Representations of Matroidsover Finite Fields (1996) (0)
- The Contributions of W.T. Tutte to Matroid Theory (2019) (0)
- Unbreakable matroids (2022) (0)
- 05B35 Combinatorial aspects of matroids and geometric lattices 05C31 Graph polynomials 52B40 Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (2021) (0)
- Small Cocircuits in Minimally Vertically 4-Connected Matroids (2021) (0)
- Matroidal Methods in Graph Theory (2013) (0)
- A splitter theorem for internally 4-connected binary matroids: small matroids (2015) (0)
- A note on half-planar geometries (1982) (0)
- Generalizing Cographs to 2-Cographs (2021) (0)
- On a covering problem of Mullin and Stanton for binary matroids (1980) (0)
- A matroid analogue of a theorem of Brooks for graphs (2016) (0)
- Regular combinatorial polyhedra (1975) (0)
- Infinite antichains of matroids with characteristic set {p} (2002) (0)
- Unavoidable Connected Matroids Retaining a Specified Minor (2016) (0)
- FORK-DECOMPOSITIONS OF ? (2015) (0)
- An Upper Bound for the Circumference of a 3-Connected Binary Matroid (2023) (0)
- Submodular Functions and Matroid Union (2011) (0)
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