Researcher Profile

Professor Gordon Royle

Gordon Royle
Gordon Royle

Phone: +61 8 6488 3460

Research Expertise:
  • Combinatorial algorithms
  • Discrete mathematics
  • Finite geometry
  • Graph theory
  • Java programming
  • Matroid theory
  1. 2016
  2. 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

  3. 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

  4. 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

  5. 2015
  6. Linear bound in terms of maxm axflow 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

  7. 2014
  8. 1

    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

  9. 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

  10. 2013
  11. 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

  12. 2012
  13. 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

  14. 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

  15. 2011
  16. 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

  17. Cores of Geometric Graphs

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

    Research output: Contribution to journalArticle

  18. 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

  19. 2010
  20. Computing Tutte Polynomials

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

    Research output: Contribution to journalArticle

  21. 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

  22. 2009
  23. 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

  24. 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

  25. 2008
  26. 1
  27. 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

  28. 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

  29. 2007
  30. Graphs and Multigraphs

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

    Research output: Chapter in Book/Conference paperChapter (peer-reviewed)

  31. 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

  32. 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

  33. 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

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Most frequent journals
  • Journal of Combinatorial Theory: Series B

    ISSNs: 0095-8956, 1096-0902

    Additional searchable ISSN (Electronic): 1096-0902

    Academic Press

    Scopus rating (2016): CiteScore 1.13 SJR 1.965 SNIP 1.959

    Journal: ERA2015

  • Designs, Codes and Cryptography

    ISSNs: 0925-1022, 1573-7586

    Springer Netherlands

    Scopus rating (2016): CiteScore 1.09 SJR 0.64 SNIP 1.393

    Journal: ERA2015

  • SIAM Journal on Discrete Mathematics

    ISSNs: 0895-4801, 1095-7146

    Society for Industrial and Applied Mathematics Publications

    Scopus rating (2016): CiteScore 1.08 SJR 1.097 SNIP 1.431

    Journal: ERA2015

  • Journal of Geometry

    ISSNs: 0047-2468, 1420-8997

    Birkhauser Verlag Basel

    Scopus rating (2016): CiteScore 0.36 SJR 0.329 SNIP 0.83

    Journal: ERA2015

  • Journal of Graph Theory

    ISSNs: 0364-9024, 1097-0118, 1063-8539, 1520-6610

    Wiley-Liss

    Scopus rating (2016): CiteScore 0.71 SJR 0.877 SNIP 1.695

    Journal: ERA2015

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