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Dr Anthony Nixon

Senior Lecturer in Pure Mathematics

  1. 2022
  2. Published

    Flexible circuits in the d-dimensional rigidity matroid

    Grasegger, G., Guler, H., Jackson, B. & Nixon, A., 30/06/2022, In: Journal of Graph Theory. 100, 2, p. 315-360 16 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  3. Published

    Surveys in Combinatorics 2022

    Nixon, A. & Prendiville, S., 31/05/2022, Cambridge University Press. 259 p. (London Mathematical Society Lecture Note Series; vol. 481)

    Research output: Book/Report/ProceedingsBook

  4. Published

    Which graphs are rigid in l_p^d?

    Dewar, S., Kitson, D. & Nixon, A., 31/05/2022, In: Journal of Global Optimization. 83, 1, p. 49-71 23 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  5. E-pub ahead of print

    Generalised rigid body motions in non-Euclidean planes with applications to global rigidity

    Dewar, S. & Nixon, A., 1/10/2022, In: Journal of Mathematical Analysis and Applications. 514, 1, 31 p., 126259.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  6. 2021
  7. Published

    Rigidity through a Projective Lens

    Nixon, A., Schulze, B. & Whiteley, W., 15/12/2021, In: Applied Science. 11, 24, 105 p., e11946.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  8. Published

    Global rigidity of 2D linearly constrained frameworks

    Guler, H., Jackson, B. & Nixon, A., 30/11/2021, In: International Mathematics Research Notices. 2021, 22, p. 16811-16858 48 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  9. Published

    An improved bound for the rigidity of linearly constrained frameworks

    Jackson, B., Nixon, A. & Tanigawa, S-I., 4/05/2021, In: SIAM Journal on Discrete Mathematics. 35, 2, p. 928–933 6 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  10. 2020
  11. Published

    Rigidity of symmetric frameworks in normed spaces

    Kitson, D., Nixon, A. & Schulze, B., 15/12/2020, In: Linear Algebra and its Applications. 607, p. 231-285 49 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  12. Published

    Assur decompositions of direction-length frameworks

    Nixon, A., 9/11/2020, Graphs and Combinatorial Optimization : from Theory to Applications : CTW2020 Proceedings. Gentile, C., Stecca, G. & Ventura, P. (eds.). Cham: Springer, p. 131-143 12 p. (AIRO Springer).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

  13. Published

    Pairing symmetries for Euclidean and spherical frameworks

    Clinch, K., Nixon, A., Schulze, B. & Whiteley, W., 1/09/2020, In: Discrete and Computational Geometry. 64, p. 483–518 36 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  14. Published

    Rigidity of linearly constrained frameworks

    Cruickshank, J., Guler, H., Jackson, B. & Nixon, A. K., 1/06/2020, In: International Mathematics Research Notices. 2020, 12, p. 3824-3840 17 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  15. Published

    Double-distance frameworks and mixed sparsity graphs

    Nixon, A. & Power, S., 31/03/2020, In: Discrete and Computational Geometry. 63, 2, p. 294-318 25 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  16. 2019
  17. Published

    Global rigidity of generic frameworks on the cylinder

    Jackson, B. & Nixon, A. K., 1/11/2019, In: Journal of Combinatorial Theory, Series B. 139, p. 193-229 37 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  18. Published

    Point-hyperplane frameworks, slider joints, and rigidity preserving transformations

    Eftekhari, Y., Jackson, B., Nixon, A. K., Schulze, B., Tanigawa, S. & Whiteley, W., 03/2019, In: Journal of Combinatorial Theory, Series B. 135, p. 44-74 31 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  19. Published

    Rigid cylindrical frameworks with two coincident points

    Jackson, B., Kaszanitzky, V. & Nixon, A. K., 01/2019, In: Graphs and Combinatorics. 35, 1, p. 141-168 28 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  20. 2018
  21. Published

    Rigidity of frameworks on expanding spheres

    Schulze, B., Nixon, A., Tanigawa, S. & Whiteley, W., 15/11/2018, In: SIAM Journal on Discrete Mathematics. 32, 4, p. 2591-2611 21 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  22. Published

    A constructive characterisation of circuits in the simple (2,1)-sparse matroid

    McCourt, T. & Nixon, A. K., 10/2018, In: Journal of Graph Theory. 89, 2, p. 150-175 26 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  23. Published

    Change of metrics in rigidity theory

    Nixon, A. K. & Whiteley, W., 25/07/2018, Handbook of Geometric Constraint Systems Principles. Sitharam, M., St. John, A. & Sidman, J. (eds.). CRC Press, 31 p. (Discrete Mathematics and Its Applications).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

  24. Published

    Tensegrity

    Nixon, A. K. & Connelly, R., 25/07/2018, Handbook of Geometric Constraint Systems Principles. Sitharam, M., St. John, A. & Sidman, J. (eds.). CRC Press, 21 p. (Discrete Mathematics and Its Applications).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

  25. Published

    Inductive constructions for combinatorial local and global rigidity

    Nixon, A. K. & Ross, E., 20/07/2018, Handbook of Geometric Constraint Systems Principles. Sitharam, M., St. John, A. & Sidman, J. (eds.). CRC Press, 22 p. (Discrete Mathematics and Its Applications).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

  26. 2016
  27. Published

    Symmetry-forced rigidity of frameworks on surfaces

    Nixon, A. & Schulze, B., 06/2016, In: Geometriae Dedicata. 182, 1, p. 163-201 39 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  28. Published

    Generating groups using hypergraphs

    Gill, N., Gillespie, N., Nixon, A. K. & Semeraro, J., 7/03/2016, In: The Quarterly Journal of Mathematics. 67, 1, p. 29-52 24 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  29. 2015
  30. Published

    Anchored boundary conditions for locally isostatic networks

    Theran, L., Nixon, A. K., Ross, E., Sadjadi, M., Servatius, B. & Thorpe, M., 30/11/2015, In: Physical Review E. 92, 5, 9 p., 053306.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  31. Published

    Stress matrices and global rigidity of frameworks on surfaces

    Jackson, B. & Nixon, A., 10/2015, In: Discrete and Computational Geometry. 54, 3, p. 586-609 24 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  32. Published

    Periodic rigidity on a variable torus using inductive constructions

    Nixon, A. & Ross, E., 2015, In: The Electronic Journal of Combinatorics . 22, 1, 30 p., P1.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  33. 2014
  34. Published

    A constructive characterisation of circuits in the simple (2,2)-sparsity matroid

    Nixon, A., 11/2014, In: European Journal of Combinatorics. 42, p. 92-106 15 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  35. Published

    Necessary conditions for the generic global rigidity of frameworks on surfaces

    Jackson, B., McCourt, T. & Nixon, A., 09/2014, In: Discrete and Computational Geometry. 52, 2, p. 344-360 17 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  36. Published

    Symmetry adapted Assur decompositions

    Nixon, A., Schulze, B., Sljoka, A. & Whiteley, W., 27/06/2014, In: Symmetry. 6, 3, p. 516-550 35 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  37. Published

    A characterization of generically rigid frameworks on surfaces of revolution

    Nixon, A., Owen, J. & Power, S., 2014, In: SIAM Journal on Discrete Mathematics. 28, 4, p. 2008-2028 21 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  38. Published

    An inductive construction of (2,1)-tight graphs

    Nixon, A. & Owen, J., 2014, In: Contributions to Discrete Mathematics. 9, 2, p. 1-16 16 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  39. Published

    One brick at a time: a survey of inductive constructions in rigidity theory

    Nixon, A. & Ross, E., 2014, Rigidity and symmetry. Connelly, R., Weiss, A. & Whiteley, W. (eds.). New York: Springer, p. 303-324 22 p. (Fields Institute Communications; vol. 70).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

  40. 2012
  41. Published

    Rigidity of frameworks supported on surfaces

    Nixon, A., Owen, J. C. & Power, S., 2012, In: SIAM Journal on Discrete Mathematics. 26, 4, p. 1733-1757 25 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

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