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Research

Professor Anthony Nixon SFHEA

Professor in Mathematics

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  1. 2025
  2. Published

    On the uniqueness of collections of pennies and marbles

    Dewar, S., Grasegger, G., Kubjas, K., Mohammadi, F. & Nixon, A., 30/06/2025, In: Examples and Counterexamples. 7, 100181.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  3. Published

    Rigidity of Symmetric Frameworks on the Cylinder

    Nixon, A., Schulze, B. & Wall, J., 30/04/2025, In: Discrete and Computational Geometry. 73, p. 629-673 45 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  4. Published

    Single-cell 3D genome reconstruction in the haploid setting using rigidity theory

    Dewar, S., Grasegger, G., Kubjas, K., Mohammadi, F. & Nixon, A., 1/04/2025, In: Journal of Mathematical Biology. 90, 4, 45.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  5. Published

    Rigid frameworks with dilation constraints

    Dewar, S., Nixon, A. & Sainsbury, A., 28/02/2025, In: Discrete Mathematics. 348, 2, 114304.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  6. Published

    Rigidity of symmetric linearly constrained frameworks in the plane

    Nixon, A., Schulze, B. & Wall, J., 30/01/2025, In: Discrete Applied Mathematics. 361, p. 370-388 19 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  7. 2024
  8. Published

    Uniquely realisable graphs in analytic normed planes

    Dewar, S., Hewetson, J. & Nixon, A., 30/09/2024, In: International Mathematics Research Notices. 2024, 17, p. 12269-12302 33 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  9. Forthcoming

    Universal rigidity of ladders on the line

    Chen, B., Connelly, R., Gortler, S., Nixon, A. & Theran, L., 30/06/2024, (Accepted/In press) In: Studia Scientiarum Mathematicarum Hungarica: Combinatorics, Geometry and Topology.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  10. Published

    Maximum likelihood thresholds via graph rigidity

    Bernstein, D., Dewar, S., Gortler, S., Nixon, A., Sitharam, M. & Theran, L., 13/06/2024, In: Annals of Applied Probability. 34, 3, p. 3288-3319 32 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  11. Published

    Quotient graphs of symmetrically rigid frameworks

    Dewar, S., Grasegger, G., Kastis, E. & Nixon, A., 8/05/2024, In: Documenta Mathematica. 29, 3, p. 561-595 35 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  12. Published

    Rigidity of frameworks on spheres

    Hewetson, J. & Nixon, A., 23/02/2024, Graphs and Combinatorial Optimization: from Theory to Applications. CTW 2023. Brieden, A., Pickl, S. & Siegle, M. (eds.). Cham: Springer, p. 41-52 12 p. (AIRO Springer Series; vol. 13).

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

  13. Published

    Global Rigidity of Line Constrained Frameworks

    Cruickshank, J., Mohammadi, F., Motwani, H., Nixon, A. & Tanigawa, S., 6/02/2024, In: SIAM Journal on Discrete Mathematics. 38, 1

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  14. 2023
  15. Published

    Computing maximum likelihood thresholds using graph rigidity

    Bernstein, D., Dewar, S., Gortler, S., Nixon, A., Sitharam, M. & Theran, L., 31/12/2023, In: Algebraic Statistics. 14, 2, p. 287-305 19 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  16. Published

    Coincident-point rigidity in normed planes

    Dewar, S., Hewetson, J. & Nixon, A., 7/09/2023, In: Ars Mathematica Contemporanea. 24, 1, 17 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  17. Published

    Corrigendum to: Flexible circuits in the d-dimensional rigidity matroid (Journal of Graph Theory, (2022), 100, 2, (315-330), 10.1002/jgt.22780)

    Grasegger, G., Guler, H., Jackson, B. & Nixon, A., 30/06/2023, In: Journal of Graph Theory. 103, 2, p. 307-308 2 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  18. 2022
  19. Published

    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/Magazine › Journal article › peer-review

  20. 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/Magazine › Journal article › peer-review

  21. 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/Proceedings › Book

  22. 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/Magazine › Journal article › peer-review

  23. 2021
  24. 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/Magazine › Journal article › peer-review

  25. 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/Magazine › Journal article › peer-review

  26. 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/Magazine › Journal article › peer-review

  27. 2020
  28. 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/Magazine › Journal article › peer-review

  29. 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/ISSN › Chapter (peer-reviewed) › peer-review

  30. 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/Magazine › Journal article › peer-review

  31. 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/Magazine › Journal article › peer-review

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