James Grieve Oxley

James Grieve Oxley's AcademicInfluence.com Rankings

James Grieve Oxley

Mathematics

#6946

World Rank

#9532

Historical Rank

Combinatorics

#83

World Rank

#90

Historical Rank

Measure Theory

#1743

World Rank

#2140

Historical Rank

mathematics Degrees

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Mathematics

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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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James Grieve Oxley's Academic­Influence.com Rankings

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James Grieve Oxley's Published Works

Published Works

James Grieve Oxley's AcademicInfluence.com Rankings