Professor Iain Moffatt

  1. 2021
  2. Forthcoming

    From matrix pivots to graphs in surfaces: exploring combinatorics through partial duals

    Moffatt, I., 2 Oct 2021, (Accepted/In press) European Congress of Mathematics Portorož, 20–26 June.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  3. Published

    A 2-isomorphism theorem for delta-matroids

    Moffatt, I. & Oh, J., May 2021, In: Advances in applied mathematics. 126, 102133.

    Research output: Contribution to journalArticlepeer-review

  4. 2020
  5. Published

    Types of embedded graphs and their Tutte polynomials

    Huggett, S. & Moffatt, I., Sep 2020, In: Mathematical Proceedings of the Cambridge Philosophical Society. 169, 2, p. 255-297 43 p.

    Research output: Contribution to journalArticlepeer-review

  6. 2019
  7. Published

    Matroids, delta-matroids and embedded graphs

    Chun, C., Moffatt, I., Noble, S. & Rueckriemen, R., Oct 2019, In: Journal of Combinatorial Theory, Series A. 167, p. 7-59 53 p.

    Research output: Contribution to journalArticlepeer-review

  8. Published

    An Introduction to Quantum and Vassiliev Knot Invariants

    Moffatt, I. & Jackson, D. M., 19 Jun 2019, Springer International Publishing. 422 p. (CMS Books in Mathematics)

    Research output: Book/ReportBook

  9. Published

    On the interplay between embedded graphs and delta-matroids

    Chun, C., Moffatt, I., Noble, S. & Rueckriemen, R., Mar 2019, In: Proceedings of the London Mathematical Society. 118, 3, p. 675-700 26 p.

    Research output: Contribution to journalArticlepeer-review

  10. Published

    Delta-matroids for graph theorists

    Moffatt, I., 2019, Surveys in combinatorics 2019. Cambridge University Press, p. 167-220 (London Math. Soc. Lecture Note Ser.; vol. 446).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  11. 2018
  12. Published

    Matroidal frameworks for topological Tutte polynomials

    Moffatt, I. & Smith, B., Nov 2018, In: Journal of Combinatorial Theory, Series B. 133, p. 1-31 31 p.

    Research output: Contribution to journalArticlepeer-review

  13. Published

    Edge colourings and topological graph polynomials

    Ellis-Monaghan, J. A., Kauffman, L. H. & Moffatt, I., Oct 2018, In: Australasian Journal of Combinatorics. 72, 2, p. 290-305 16 p.

    Research output: Contribution to journalArticlepeer-review

  14. Published

    Hopf algebras and Tutte polynomials

    Krajewski, T., Moffatt, I. & Tanasa, A., Apr 2018, In: Advances in applied mathematics. 95, p. 271-330 60 p.

    Research output: Contribution to journalArticlepeer-review

  15. Published

    The Structure of Delta-Matroids with Width One Twists

    Chun, C., Hall, R., Merino, C., Moffatt, I. & Noble, S., 12 Jan 2018, In: The Electronic Journal of Combinatorics. 25, 1, p. 1-12 12 p.

    Research output: Contribution to journalArticlepeer-review

  16. 2017
  17. Published

    Handle slides for delta-matroids

    Moffatt, I. & eunice.mphako-banda@wits.ac.za, E., Jan 2017, In: European Journal of Combinatorics. 59, p. 23-33 11 p.

    Research output: Contribution to journalArticlepeer-review

  18. 2016
  19. Published

    Ribbon Graph Minors and Low-Genus Partial Duals

    Moffatt, I., Jun 2016, In: Annals of combinatorics. 20, 2, p. 373-378 6 p.

    Research output: Contribution to journalArticlepeer-review

  20. Published

    Excluded Minors and the Ribbon Graphs of Knots

    Moffatt, I., Apr 2016, In: Journal of Graph Theory. 81, 4, p. 329–341 13 p.

    Research output: Contribution to journalArticlepeer-review

  21. 2015
  22. Published

    On the ribbon graphs of links in real projective space

    Moffatt, I. & Strömberg, J., 17 Dec 2015, In: Involve. 9, 1, p. 133-153 21 p.

    Research output: Contribution to journalArticlepeer-review

  23. Published

    DNA origami and the complexity of Eulerian circuits with turning costs

    A. Ellis-Monaghan, J., McDowell, A., Moffatt, I. & Pangborn, G., Sep 2015, In: Natural Computing. 14, 3, p. 491–503 13 p.

    Research output: Contribution to journalArticlepeer-review

  24. Published

    Evaluations of Topological Tutte Polynomials

    Ellis-Monaghan, J. A. & Moffatt, I., May 2015, In: Combinatorics, Probability and Computing. 24, 3, p. 556-583 28 p.

    Research output: Contribution to journalArticlepeer-review

  25. Published

    The Las Vergnas Polynomial for embedded graphs

    Ellis-Monaghan, J. A. & Moffatt, I., 2015, In: European Journal of Combinatorics. p. 97-114

    Research output: Contribution to journalArticlepeer-review

  26. 2014
  27. E-pub ahead of print

    A note on recognizing an old friend in a new place: list coloring and the zero-temperature Potts model

    A. Ellis-Monaghan, J. & Moffatt, I., 31 Dec 2014, (E-pub ahead of print) In: Annales de L’Institut Henri Poincaré D. 1, 4, p. 429–442 14 p.

    Research output: Contribution to journalArticlepeer-review

  28. E-pub ahead of print

    The Potts model and chromatic functions of graphs

    Klazar, M., Loebl, M. & Moffatt, I., 4 Feb 2014, (E-pub ahead of print) In: Annales de L’Institut Henri Poincaré D. 1, 1, p. 47–60 14 p.

    Research output: Contribution to journalArticlepeer-review

  29. 2013
  30. Published

    Bipartite partial duals and circuits in medial graphs

    Huggett, S. & Moffatt, I., Apr 2013, In: Combinatorica. 33, 2, p. 231-252

    Research output: Contribution to journalArticlepeer-review

  31. Published

    Bipartite partial duals and circuits in medial graphs

    Huggett, S. & Moffatt, I., Apr 2013, In: Combinatorica. 33, 2, p. 231-252 22 p.

    Research output: Contribution to journalArticlepeer-review

  32. Published

    A Penrose polynomial for embedded graphs

    A. Ellis-Monaghan, J. & Moffatt, I., 2013, In: European Journal of Combinatorics. 34, 2, p. 424-445

    Research output: Contribution to journalArticlepeer-review

  33. Published

    Graphs on Surfaces: Dualities, Polynomials, and Knots

    Moffatt, I. & Ellis-Monaghan, J. A., 2013, Springer.

    Research output: Book/ReportBook

  34. 2012
  35. Published

    On the Seifert graphs of a link diagram and its parallels

    Huggett, S., Moffatt, I. & Virdee, N., Jul 2012, In: Mathematical Proceedings of the Cambridge Philosophical Society. 153, p. 123-145 23 p.

    Research output: Contribution to journalArticlepeer-review

  36. Published

    Partial duals of plane graphs, separability and the graphs of knots

    Moffatt, I., 19 May 2012, In: Algebraic and geometric topology. 12, 2, p. 1099-1136 38 p.

    Research output: Contribution to journalArticlepeer-review

  37. Published

    On the Potts Model Partition Function in an External Field

    McDonald, L. M. & Moffatt, I., Mar 2012, In: Journal of Statistical Physics. 146, 6, p. 1288-1302 15 p.

    Research output: Contribution to journalArticlepeer-review

  38. Published

    Twisted Duality for Embedded Graphs

    Ellis-Monaghan, J. A. & Moffatt, I., Mar 2012, In: Transactions of the American Mathematical Society. 364, 3, p. 1529-1569 41 p.

    Research output: Contribution to journalArticlepeer-review

  39. Published

    Separability and the genus of a partial dual

    Moffatt, I., 2012, In: European Journal of Combinatorics. 34, 2, p. 355-378

    Research output: Contribution to journalArticlepeer-review

  40. 2011
  41. Published

    A permanent formula for the Jones polynomial

    Loebl, M. & Moffatt, I., Oct 2011, In: Advances in applied mathematics. 47, 4, p. 659-667 9 p.

    Research output: Contribution to journalArticlepeer-review

  42. Published

    Expansions for the Bollobas-Riordan Polynomial of Separable Ribbon Graphs

    Huggett, S. & Moffatt, I., Oct 2011, In: Annals of combinatorics. 15, 4, p. 675-706 32 p.

    Research output: Contribution to journalArticlepeer-review

  43. Published

    The Tutte-Potts connection in the presence of an external magnetic field

    Ellis-Monaghan, J. A. & Moffatt, I., Oct 2011, In: Advances in applied mathematics. 47, 4, p. 772-782 11 p.

    Research output: Contribution to journalArticlepeer-review

  44. Published

    A Characterization of Partially Dual Graphs

    Moffatt, I., Jul 2011, In: Journal of Graph Theory. 67, 3, p. 198-217 20 p.

    Research output: Contribution to journalArticlepeer-review

  45. Published

    Unsigned State Models for the Jones Polynomial

    Moffatt, I., Mar 2011, In: Annals of combinatorics. 15, 1, p. 127-146 20 p.

    Research output: Contribution to journalArticlepeer-review

  46. 2010
  47. Published

    A NEW PROOF THAT ALTERNATING LINKS ARE NON-TRIVIAL

    Moffatt, I., Jun 2010, In: Journal of knot theory and its ramifications. 19, 6, p. 821-828 8 p.

    Research output: Contribution to journalArticlepeer-review

  48. Published

    Partial duality and Bolloba's and Riordan's ribbon graph polynomial

    Moffatt, I., 6 Jan 2010, In: Discrete Mathematics. 310, 1, p. 174-183 10 p.

    Research output: Contribution to journalArticlepeer-review

  49. 2008
  50. Published

    The chromatic polynomial of fatgraphs and its categorification

    Loebl, M. & Moffatt, I., 1 Mar 2008, In: Advances in Mathematics. 217, 4, p. 1558-1587 30 p.

    Research output: Contribution to journalArticlepeer-review

  51. 2007
  52. Published

    On the group-like behavior of the Le-Murakami-Ohtsuki invariant

    Jackson, D. M., Moffatt, I. & Morales, A., Aug 2007, In: Journal of knot theory and its ramifications. 16, 6, p. 699-718 20 p.

    Research output: Contribution to journalArticlepeer-review

  53. 2006
  54. Published

    The Arhus integral and the mu-invariants

    Moffatt, I., Mar 2006, In: Journal of knot theory and its ramifications. 15, 3, p. 361-377 17 p.

    Research output: Contribution to journalArticlepeer-review

  55. 2005
  56. Published

    The Aarhus integral and the mu-invariants

    Moffatt, I., 17 Nov 2005, In: J. Knot Theory Ramifications.

    Research output: Contribution to journalArticlepeer-review