• The University of Western Australia (M019), 35 Stirling Highway,

    6009 Perth

    Australia

  • 423 Citations
  • 14 h-Index
1992 …2022

Research output per year

If you made any changes in Pure these will be visible here soon.

Research Output

2019

A census of small transitive groups and vertex-transitive graphs

Holt, D. & Royle, G., 27 Jun 2019, In : Journal of Symbolic Computation.

Research output: Contribution to journalArticle

File
177 Downloads (Pure)

Highly-connected planar cubic graphs with few or many Hamilton cycles

Pivotto, I. & Royle, G., Dec 2019, In : Discrete Mathematics. 342, 12, 15 p., 111608.

Research output: Contribution to journalArticle

Structure of cubic lehman matrices

Mayhew, D., Royle, G. & Pivotto, I., Sep 2019, In : Electronic Journal of Combinatorics. 26, 3, P3.54.

Research output: Contribution to journalArticle

Open Access
File
122 Downloads (Pure)

The Möbius matroids

Pivotto, I. & Royle, G., 11 Jul 2019, In : Advances in Applied Mathematics.

Research output: Contribution to journalArticle

2018

On regular induced subgraphs of generalized polygons

Bamberg, J., Bishnoi, A. & Royle, G. F., 1 Aug 2018, In : Journal of Combinatorial Theory. Series A. 158, p. 254-275 22 p.

Research output: Contribution to journalArticle

Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5

Fawcett, J. B., Giudici, M., Li, C. H., Praeger, C. E., Royle, G. & Verret, G., 1 Jul 2018, In : Journal of Combinatorial Theory. Series A. 157, p. 247-266 20 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2017

Excluding Kuratowski graphs and their duals from binary matroids

Mayhew, D., Royle, G. & Whittle, G., 1 Jul 2017, In : Journal of Combinatorial Theory. Series B. 125, p. 95-113 19 p.

Research output: Contribution to journalArticle

2016

16,051 formulas for Ottaviani's invariant of cubic threefolds

Abdesselam, A., Ikenmeyer, C. & Royle, G., 1 Feb 2016, In : Journal of Algebra. 447, p. 649-663

Research output: Contribution to journalArticle

1 Citation (Scopus)

Primitive groups, graph endomorphisms and synchronization

Aroújo, J., Bentz, W., Cameron, P. J., Royle, G. & Schaefer, A., 2016, In : Proceedings of the London Mathematical Society. 113, 6, p. 829-867

Research output: Contribution to journalArticle

3 Citations (Scopus)

Quartic Graphs with Every Edge in a Triangle

Pfender, F. & Royle, G., 2016, In : Journal of Graph Theory. 82, 2, p. 154-164

Research output: Contribution to journalArticle

2015

Linear bound in terms of maxmaxflow for the chromatic roots of series-parallel graphs

Royle, G. & Sokal, A. D., 2015, In : SIAM Journal on Discrete Mathematics. 29, 4, p. 2117-2159

Research output: Contribution to journalArticle

3 Citations (Scopus)
2 Downloads (Pure)
2014

Maximum size binary matroids with no AG(3, 2)-minor are graphic

Kung, J., Mayhew, D., Pivotto, I. & Royle, G., Sep 2014, In : SIAM Journal on Discrete Mathematics. 28, 3, p. 1559-1577

Research output: Contribution to journalArticle

Open Access
File
3 Citations (Scopus)
194 Downloads (Pure)

The Merino-Welsh conjecture holds for series-parallel graphs

Noble, S. D. & Royle, G., 2014, In : European Journal of Combinatorics. 38, p. 24-35

Research output: Contribution to journalArticle

4 Citations (Scopus)
2013

Hemisystems of small flock generalized quadrangles

Bamberg, J., Giudici, M. & Royle, G., 2013, In : Designs Codes and Cryptography. 67, p. 137-157

Research output: Contribution to journalArticle

4 Citations (Scopus)
2012

Generalised quadrangles with a group of automorphisms acting primitively on points and lines

Bamberg, J., Giudici, M., Morris, J., Royle, G. & Spiga, P., 2012, In : Journal of Combinatorial Theory Series A. 119, 7, p. 1479-1499

Research output: Contribution to journalArticle

Open Access
9 Citations (Scopus)
13 Downloads (Pure)

Set-homogeneous directed graphs

Gray, R., Macpherson, D., Praeger, C. & Royle, G., 2012, In : Journal of combinatorial Theory Series B. 102, 2, p. 474-520

Research output: Contribution to journalArticle

Open Access
1 Citation (Scopus)
11 Downloads (Pure)

The internally 4-connected binary matroids with no M(K5\e)-Minor

Mayhew, D. & Royle, G., 2012, In : SIAM Journal on Discrete Mathematics. 26, 2, p. 755-767

Research output: Contribution to journalArticle

4 Citations (Scopus)
2011

Chromatic Roots of a Ring of Four Cliques

Dong, F. M., Royle, G. & Wagner, D., 2011, In : The Electronic Journal of Combinatorics. 18, p. 13pp

Research output: Contribution to journalArticle

2 Citations (Scopus)

Cores of Geometric Graphs

Godsil, C. & Royle, G., 2011, In : Annals of Combinatorics. 15, p. 267-276

Research output: Contribution to journalArticle

16 Citations (Scopus)

Graphs whose flow polynomials have only integral roots

Kung, J. P. S. & Royle, G., 2011, In : European Journal of Combinatorics. 32, p. 831-840

Research output: Contribution to journalArticle

Open Access
2 Citations (Scopus)
2010

Computing Tutte Polynomials

Haggard, G., Pearce, D. J. & Royle, G., 2010, In : ACM Transactions on Mathematical Software . 37, p. -

Research output: Contribution to journalArticle

20 Citations (Scopus)

Every flock generalized quadrangle has a hemisystem

Bamberg, J., Giudici, M. & Royle, G., 2010, In : Bulletin of the London Mathematical Society. 42, p. 795-810

Research output: Contribution to journalArticle

15 Citations (Scopus)

The Internally 4-Connected Binary Matroids with No M(K3,3)-Minor

Mayhew, D., Royle, G. & Whittle, G., 2010, Providence, Rhode Island: American Mathematical Society.

Research output: Book/ReportBook

2009

Designs from matroids

Britz, T., Royle, G. & Shiromoto, K., 2009, In : SIAM Journal on Discrete Mathematics. 23, 2, p. 1082-1099

Research output: Contribution to journalArticle

1 Citation (Scopus)

Edge-selection Heuristics for Computing Tutte Polynomials

Pearce, D. J., Haggard, G. & Royle, G., 2009, Theory of Computing 2009 Proceedings of the Fifteenth Computing: The Australasian Theory Symposium. Downey, R. & Manyem, P. (eds.). Wellington, New Zealand ed. Australia: Australian Computer Society, Vol. 94. p. 153-162

Research output: Chapter in Book/Conference paperConference paper

2008
File
4 Citations (Scopus)
242 Downloads (Pure)

Matroids with nine elements

Royle, G. & Mayhew, D., 2008, In : Journal of combinatorial Theory Series B. 98, 2, p. 415-431

Research output: Contribution to journalArticle

27 Citations (Scopus)

Planar Triangulations with Real Chromatic Roots Arbitrarily Close to 4

Royle, G., 2008, In : Annals of Combinatorics. 12, 2, p. 195-210

Research output: Contribution to journalArticle

10 Citations (Scopus)
2007

Graphs and Multigraphs

Royle, G., 2007, Handbook of Combinatorial Designs. Colbourn, C. J. & Dinitz, J. H. (eds.). Florida: Taylor & Francis, p. 731-740

Research output: Chapter in Book/Conference paperChapter

Graphs with chromatic roots in the interval (1,2)

Royle, G., 2007, In : Electronic Journal of Combinatorics. 14, 1, p. online - approx 5-20pp

Research output: Contribution to journalArticle

3 Citations (Scopus)

Symmetric squares of graphs

Audenaert, K., Godsil, C., Royle, G. & Rudolph, T., 2007, In : Journal of combinatorial Theory Series B. 97, 1, p. 74-90

Research output: Contribution to journalArticle

17 Citations (Scopus)

The chromatic number and rank of the complements of the Kasami graphs

Roy, A. & Royle, G., 2007, In : Discrete Mathematics. 307, 1, p. 132-136

Research output: Contribution to journalArticle

1 Citation (Scopus)
2006

Colouring lines in projective space

Chowdhury, A., Godsil, C. & Royle, G., 2006, In : Journal of Combinatorial Theory Series A. 113, 1, p. 39-52

Research output: Contribution to journalArticle

9 Citations (Scopus)
2004

Acyclic Digraphs and Eigenvalues of (0,1) - Matrices

Royle, G., Mckay, B. D., Oggier, F. E., Sloane, N. J. A., Wanless, I. M. & Wilf, H. S., 2004, In : Journal of Integer Sequences. 7, 3, p. online - approx 5-20pp

Research output: Contribution to journalArticle

16 Citations (Scopus)

Spreads of T2(o), α-flocks and Ovals

Brown, M. R., O'Keefe, C. M., Payne, S. E., Penttila, T. & Royle, G., 2004, In : Designs Codes and Cryptography. 31, 3, p. 251-282

Research output: Contribution to journalArticle

The Brown-Colbourn conjecture on zeros of reliability polynomials is false

Royle, G. & Sokal, A. D., 2004, In : Journal of combinatorial Theory Series B. 91, 2, p. 345-360

Research output: Contribution to journalArticle

22 Citations (Scopus)
2003

The Rank of a Cograph

Royle, G., 2003, In : The Electronic Journal of Combinatorics. 10, p. online - approx 5-20pp

Research output: Contribution to journalArticle

16 Citations (Scopus)
2002

Regular vertex diameter critical graphs

Royle, G., 2002, In : Australasian Journal of Combinatics. 26, 1, p. 209-217

Research output: Contribution to journalArticle

1 Citation (Scopus)
2001

ALGEBRAIC GRAPH THEORY

Godsil, C., Royle, G. & AXLER, GEHRING. AND. RIBET. (ed.), 2001, NEW YORK: Springer.

Research output: Book/ReportBook

Chromatic Number and the 2-Rank of a Graph

Godsil, C. D. & Royle, G., 2001, In : Journal of combinatorial Theory Series B. 81, p. 142-149

Research output: Contribution to journalArticle

24 Citations (Scopus)
2000

Counting Set Covers and Split Graphs

Royle, G., 2000, In : Journal of Integer Sequences. 3, 2, p. 1-5

Research output: Contribution to journalArticle

9 Citations (Scopus)
1999

Hajos constructions of critical graphs

Jensen, T. R. & Royle, G., 1999, In : Journal of Graph Theory. 1, p. 37-50

Research output: Contribution to journalArticle

2 Citations (Scopus)
1998

An orderly algorithm and some applications in finite geometry

Royle, G., 1998, In : Journal of the American Mathematical Society. 185, 1-3, p. 105-115

Research output: Contribution to journalArticle

25 Citations (Scopus)

BLT-sets over small fields

Royle, G. & Penttila, T., 1998, In : Journal of American Mathematical Society. 17, p. 295-307

Research output: Contribution to journalArticle

11 Citations (Scopus)

Java as a Teaching Language - Opportunities, Pitfalls and Solutions

Clark, D., MacNish, C. & Royle, G., 1998, The Proceedings of the Third Australasian Conference on Computer Science Education. Strooper, P. (ed.). University of Queensland, Bris ed. New York, NY: Association for Computing Machinery (ACM), Vol. 1. p. 173-179

Research output: Chapter in Book/Conference paperConference paper

1 Citation (Scopus)
1997

Building a Cyclic q -clan

Payne, S. E., Penttila, T. & Royle, G., 1997, Mostly Finite Geometries. Johnson, N. (ed.). Uiversity of Iowa ed. New York: Marcel Dekker, Vol. 190. p. 365-378

Research output: Chapter in Book/Conference paperConference paper

Graph Domination, Tabu Search and the Football Pool Problem

Davies, R. & Royle, G., 1997, In : Discrete Applied Math. 74, p. 217-228

Research output: Contribution to journalArticle

6 Citations (Scopus)

Optimal semi-Latin squares with side six and block size two

Bailey, R. A. & Royle, G., 1997, In : Proceedings of the Royal Society of London, Series A. 453, p. 1903-1914

Research output: Contribution to journalArticle

9 Citations (Scopus)
1996

A family of resolvable regular graph designs

Kreher, D. L., Royle, G. & Wallis, W. D., 1996, In : Discrete Mathematics. 156, p. 269-275

Research output: Contribution to journalArticle

6 Citations (Scopus)

Hyperovals in the Known Projective Planes of Order 16

Penttila, T., Royle, G. & Simpson, M. K., 1996, In : Journal of Combinatorial Designs. 4, p. 59-65

Research output: Contribution to journalArticle

28 Citations (Scopus)