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. 2018
  2. 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

  3. 2016
  4. 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

  5. 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

  6. 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

  7. 2015
  8. 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

  9. 2014
  10. 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

  11. 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

  12. 2013
  13. 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

  14. 2012
  15. 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

  16. 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

  17. 2011
  18. 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

  19. Cores of Geometric Graphs

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

    Research output: Contribution to journalArticle

  20. 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

  21. 2010
  22. Computing Tutte Polynomials

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

    Research output: Contribution to journalArticle

  23. 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

  24. 2009
  25. 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

  26. 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

  27. 2008
  28. 1
  29. 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

  30. 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

  31. 2007
  32. 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 (peer-reviewed)

  33. 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

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