Gordon Royle

Gordon Royle's AcademicInfluence.com Rankings

Gordon Royle

Mathematics

#656

World Rank

#1207

Historical Rank

Graph Theory

#15

World Rank

#20

Historical Rank

Combinatorics

#52

World Rank

#58

Historical Rank

Measure Theory

#1815

World Rank

#2221

Historical Rank

mathematics Degrees

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Mathematics

Why Is Gordon Royle Influential?

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According to Wikipedia, Gordon F. Royle is a professor at the School of Mathematics and Statistics at The University of Western Australia. Royle is the co-author of the book Algebraic Graph Theory . Royle is also known for his research into the mathematics of Sudoku and his search for the Sudoku puzzle with the smallest number of entries that has a unique solution.

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Gordon Royle'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

Algebraic Graph Theory (2001) (9011)
Location of Zeros of Chromatic and Related Polynomials of Graphs (1994) (84)
Sets of type (m, n) in the affine and projective planes of order nine (1995) (74)
Flocks and ovals (1996) (70)
Matroids with nine elements (2007) (66)
Small graphs with chromatic number 5: A computer search (1995) (61)
Acyclic Digraphs and Eigenvalues of O,1 Matrices (2003) (51)
The Brown-Colbourn conjecture on zeros of reliability polynomials is false (2003) (48)
An orderly algorithm and some applications in finite geometry (1998) (47)
The Transitive Graphs with at Most 26 Vertices (1990) (47)
Symmetric squares of graphs (2005) (45)
Computing Tutte Polynomials (2010) (45)
The Rank of a Cograph (2003) (42)
Hyperovals in the Known Projective Planes of Order 16 (1996) (38)
Java as a teaching language—opportunities, pitfalls and solutions (1998) (37)
A Characterization of Well-covered Cubic Graphs (1993) (37)
The Transitive Groups of Degree Twelve (1987) (35)
Every flock generalized quadrangle has a hemisystem (2009) (35)
Cores of Geometric Graphs (2008) (34)
Classification of ovoids inPG(3, 32) (1994) (32)
Chromatic Number and the 2-Rank of a Graph (2001) (32)
A Conjecture on the Maximum Value of the Principal Eigenvalue of a Planar Graph (2010) (30)
The internally 4-connected binary matroids with no M(K3,3)-minor (2009) (27)
Constructing the Vertex-Transitive Graphs of Order 24 (1989) (27)
A census of small transitive groups and vertex-transitive graphs (2018) (26)
The translation planes of order 49 (1995) (26)
Classification of hyperovals inPG(2,32) (1994) (23)
Optimal semi-Latin squares with side six and block size two (1997) (22)
On hyperovals in small projective planes (1995) (21)
Planar Triangulations with Real Chromatic Roots Arbitrarily Close to 4 (2005) (21)
Second neighbourhoods of strongly regular graphs (1992) (21)
Generalised quadrangles with a group of automorphisms acting primitively on points and lines (2011) (18)
Colouring lines in projective space (2005) (17)
Surveys in Combinatorics 2009: Recent results on chromatic and flow roots of graphs and matroids (2009) (16)
Efficient Algorithms for Listing Combinatorial Structures (1995) (15)
The Laplacian of a Graph (2001) (15)
Constructive enumeration of graphs (1988) (13)
BLT-sets over small fields (1998) (13)
The Merino-Welsh conjecture holds for series-parallel graphs (2013) (13)
Counting Set Covers and Split Graphs (2000) (13)
Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5 (2016) (12)
Building a Cyclic q -clan (1997) (11)
Graph Domination, Tabu Search and the Football Pool Problem (1997) (11)
Hemisystems of small flock generalized quadrangles (2010) (11)
Vertex-switching reconstruction of subgraph numbers and triangle-free graphs (1992) (11)
Linear Bound in Terms of Maxmaxflow for the Chromatic Roots of Series-Parallel Graphs (2013) (11)
Hajós constructions of critical graphs (1999) (11)
A family of resolvable regular graph designs (1996) (10)
Maximum Size Binary Matroids with no AG(3, 2)-Minor are Graphic (2013) (10)
Primitive groups, graph endomorphisms and synchronization (2016) (10)
STRONGLY REGULAR GRAPHS (2001) (10)
Sets of type (m,n) in affine and projective planes of order 9 (1994) (9)
A NORMAL NON-CAYLEY-INVARIANT GRAPH FOR THE ELEMENTARY ABELIAN GROUP OF ORDER 64 (2008) (9)
Primitive groups and synchronization (2015) (8)
Graphs and Multigraphs (2007) (8)
The Internally 4-Connected Binary Matroids with No $M(K_{5}\backslash e)$-Minor (2012) (7)
Graphs with Chromatic Roots in the Interval (1, 2) (2007) (6)
Edge-Selection Heuristics for Computing Tutte Polynomials (2009) (6)
Chromatic Roots of a Ring of Four Cliques (2011) (6)
The transitive groups of degree 48 and some applications (2021) (6)
On regular induced subgraphs of generalized polygons (2017) (5)
Supports of (ν,4,2) designs (1991) (5)
Inversive Planes of Odd Order (1989) (5)
An 11-vertex theorem for 3-connected cubic graphs (1988) (5)
Graphs whose flow polynomials have only integral roots (2009) (5)
Set-homogeneous directed graphs (2010) (5)
On the flip graphs on perfect matchings of complete graphs and signed reversal graphs (2020) (4)
16,051 formulas for Ottaviani's invariant of cubic threefolds (2014) (4)
Quartic Graphs with Every Edge in a Triangle (2013) (4)
Constructing Bridge Club Designs (1994) (4)
Spreads of T2(o), α-flocks and Ovals (2004) (4)
Regular vertex diameter critical graphs (2002) (3)
Vertex-transitive Graphs On Fewer Than 48 Vertices (2020) (3)
The classification of spreads of T2() andα-flocks over small fields (2008) (3)
Cores of cubelike graphs (2018) (3)
Designs from Matroids (2009) (3)
Highly-connected planar cubic graphs with few or many Hamilton cycles (2019) (2)
Some Structural Properties of Unitary Addition Cayley Graphs (2020) (2)
On the p-rank of incidence matrices and a bound of Bruen and Ott (1992) (2)
Cuts and Flows (2001) (2)
There are only a finite number of excluded minors for the class of bicircular matroids (2021) (2)
Chromatic roots at 2 and at the Beraha number $B_{10}$ (2018) (1)
Arc-Transitive Graphs (2001) (1)
Innovations in Incidence Geometry (2009) (1)
Synchronising primitive groups of diagonal type exist (2021) (1)
The chromatic number and rank of the complements of the Kasami graphs (2007) (1)
The Beraha number $B_{10}$ is a chromatic root (2016) (1)
Line Graphs and Eigenvalues (2001) (1)
Generalized Polygons and Moore Graphs (2001) (0)
Code that enumerates q-regular subgraphs of symplectic generalised quadrangles (2017) (0)
Transversal polynomial of r-fold covers (2019) (0)
The 2-rotational Steiner triple systems of order 25 (1991) (0)
CORR 99-28 Counting Set Covers and Split Graphs (1999) (0)
The binary $q$-analogue of the Fano plane has a trivial automorphism group (2017) (0)
Orbits of Sylow subgroups of finite permutation groups (2021) (0)
Symmetric designs, polarities and sub-designs (1988) (0)
Tournaments and even graphs are equinumerous (2022) (0)
Structure of Cubic Lehman Matrices (2018) (0)
Groups generated by derangements (2020) (0)
C O ] 6 A ug 2 01 8 Cores of Cubelike Graphs (2018) (0)
Enumeration of small nonisomorphic 1-rotational twofold triple systems (1992) (0)
Knots and Eulerian Cycles (2001) (0)
C O ] 1 2 O ct 2 01 9 Transversal polynomial of r-fold covers (2019) (0)
Gavin Brown Best Paper Prize for 2020 (2020) (0)
Constructing the vertex-transitive graphs on 24 vertices (1991) (0)
The Möbius matroids (2019) (0)
Hemisystems of small flock generalized quadrangles (2011) (0)
Separating rank 3 graphs (2022) (0)
2022 Transversal polynomials of covers of graphs (2022) (0)
Education Issues Paper (2009) (0)
Structure of Cubic Lehman Matrices Dillon Mayhew School of Mathematics and Statistics Victoria University of Wellington dillon (0)
Spectral graph theory and random walks on graphs (2014) (0)
The Rank Polynomial (2001) (0)
THERE ARE 2834 SPREADS OF LINES IN PG(3, 8) (2014) (0)
The cyclic q-clans with q F 2 e (2003) (0)
Excluding Kuratowski graphs and their duals from binary matroids (2009) (0)
Chromatic roots at 2 and the Beraha number B10 (2020) (0)
Designs in Finite Geometry (2020) (0)
ON THE SURJECTIVITY OF ULTRA-DELIGNE, SMOOTHLY CO-ARITHMETIC HULLS (2012) (0)

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What Schools Are Affiliated With Gordon Royle?

Gordon Royle is affiliated with the following schools:

University of Western Australia

Gordon Royle's Academic­Influence.com Rankings

Why Is Gordon Royle Influential?

Gordon Royle's Published Works

Published Works

Other Resources About Gordon Royle

What Schools Are Affiliated With Gordon Royle?

Gordon Royle's AcademicInfluence.com Rankings