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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. Forthcoming

    Competing types in preferential attachment graphs with community structure

    Haslegrave, J., 5/05/2025, (Accepted/In press) In: Electronic Journal of Probability.

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

  4. Forthcoming

    Dissipative particle systems on expanders

    Haslegrave, J. & Keevash, P., 3/05/2025, (Accepted/In press) In: Probability Theory and Related Fields.

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

  5. Forthcoming

    Fishing for complements

    Angeleri Hugel, L., Pauksztello, D. & Vitoria, J., 2/05/2025, (Accepted/In press) In: Nagoya Mathematical Journal.

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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 2024
  11. E-pub ahead of print

    Geometry of tropical extensions of hyperfields

    Maxwell, J. & Smith, B., 26/11/2024, (E-pub ahead of print) In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 42 p.

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

  12. Published

    On complete classes of valuated matroids

    Husic, E., Loho, G., Smith, B. & Vegh, L. A., 18/11/2024, In: TheoretiCS. 3, 10755.

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

  13. 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

  14. Forthcoming

    Root polytopes, tropical types, and toric edge ideals

    Almousa, A., Dochtermann, A. & Smith, B., 29/09/2024, (Accepted/In press) In: Algebraic Combinatorics.

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

  15. Forthcoming

    Boundary rigidity of 3D CAT(0) cube complexes

    Haslegrave, J., Scott, A., Tamitegama, Y. & Tan, J., 19/09/2024, (Accepted/In press) In: European Journal of Combinatorics.

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

  16. 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

  17. 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

  18. 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

  19. Published

    Tight Bounds on the Chromatic Edge Stability Index of Graphs

    Akbari, S., Haslegrave, J., Javadi, M., Nahvi, N. & Niaparast, H., 30/04/2024, In: Discrete Mathematics. 347, 4, 113850.

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

  20. Published

    Dissipative particle systems on expanders

    Haslegrave, J. & Keevash, P., 25/04/2024, Arxiv.

    Research output: Working paper

  21. Forthcoming

    The extremal generalised Randić index for a given degree range

    Haslegrave, J., 15/03/2024, (Accepted/In press) In: The Art of Discrete and Applied Mathematics.

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

  22. Unpublished

    A geometric model for the module category of a string algebra

    Baur, K. & Coelho Guardado Simoes, R., 12/03/2024, (Unpublished) Arxiv, 33 p.

    Research output: Working paper › Preprint

  23. Published

    The parabolic algebra revisited

    Kastis, E. & Power, S., 1/03/2024, In: Israel Journal of Mathematics. 259, 2, p. 559-587 29 p.

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

  24. 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

  25. 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

  26. Published

    When removing an independent set is optimal for reducing the chromatic number

    Cambie, S., Haslegrave, J. & Kang, R., 31/01/2024, In: European Journal of Combinatorics. 115, 113781.

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

  27. Unpublished

    Simple tilts of length hearts and simple-minded mutation

    Broomhead, N., Coelho Guardado Simoes, R., Pauksztello, D. & Woolf, J., 01/2024, (Unpublished).

    Research output: Working paper › Preprint

  28. Published

    Symmetric Frameworks on Surfaces

    Wall, J., 2024, Lancaster University. 187 p.

    Research output: Thesis › Doctoral Thesis

  29. 2023
  30. 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

  31. Published

    Ramsey numbers of cycles versus general graphs

    Haslegrave, J., Hyde, J., Kim, J. & Liu, H., 31/12/2023, In: Forum of Mathematics, Sigma. 11, e10.

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

  32. Published

    Monitoring edge-geodetic sets: Hardness and graph products

    Haslegrave, J., 15/12/2023, In: Discrete Applied Mathematics. 340, p. 79-84 6 p.

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

  33. Published

    Determining triangulations and quadrangulations by boundary distances

    Haslegrave, J., 30/11/2023, In: Journal of Combinatorial Theory, Series B. 163, p. 233-255 23 p.

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

  34. Published

    Face Posets of Tropical Polyhedra and Monomial Ideals

    Loho, G. & Smith, B., 20/10/2023, In: The Electronic Journal of Combinatorics. 30, 4, 57 p., P4.11.

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

  35. 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

  36. Forthcoming

    Braced triangulations and rigidity

    Cruickshank, J., Kastis, E., Kitson, D. & Schulze, B., 2/07/2023, (Accepted/In press) In: Discrete and Computational Geometry.

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

  37. 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

  38. Published

    Convergent Hahn Series and Tropical Geometry of Higher Rank

    Joswig, M. & Smith, B., 30/04/2023, In: Journal of the London Mathematical Society. 107, 4, p. 1450-1481 32 p.

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

  39. Published

    Simple-mindedness: tilting, reduction, mutation

    Pauksztello, D., 17/04/2023, Oberwolfach Workshop Reports: Representation Theory of Quivers and Finite-Dimensional Algebras.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper

  40. Published

    Sum Index, Difference Index and Exclusive Sum Number of Graphs

    Haslegrave, J., 1/04/2023, In: Graphs and Combinatorics. 39, 2, 32.

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

  41. Published

    An Updated Show of Hands

    Barnett, H., Karapiperi, A. & Kastis, E., 6/03/2023, In: MSOR Connections. 21, 1, p. 18-22 5 p.

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

  42. 2022
  43. Published

    Crux and Long Cycles in Graphs

    Haslegrave, J., Hu, J., Kim, J., Liu, H., Luan, B. & Wang, G., 31/12/2022, In: SIAM Journal on Discrete Mathematics. 36, 4, p. 2942-2958 17 p., 4.

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

  44. Published

    Measurable equidecompositions for group actions with an expansion property

    Grabowski, Ł., Máthé, A. & Pikhurko, O., 31/12/2022, In: Journal of the European Mathematical Society. 24, 12, p. 4277–4326 50 p.

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

  45. Published

    Linear zero mode spectra for quasicrystals

    Power, S., 15/12/2022, In: Journal of Mathematical Analysis and Applications. 516, 2, 19 p., 126534.

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

  46. Published

    Extremal density for sparse minors and subdivisions

    Haslegrave, J., Kim, J. & Liu, H., 31/10/2022, In: International Mathematics Research Notices. 2022, 20, p. 15505-15548 44 p.

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

  47. Published

    Topological inductive constructions for tight surface graphs

    Cruickshank, J., Kitson, D., Power, S. & Shakir, Q., 12/10/2022, In: Graphs and Combinatorics. 38, 31 p., 169.

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

  48. 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

  49. 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

  50. Published

    The Rigidity of Infinite Graphs II

    Kitson, D. & Power, S., 30/06/2022, In: Graphs and Combinatorics. 38, 3, 83.

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

  51. 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

  52. 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

  53. Published

    A polylogarithmic bound in the nonlinear Roth theorem

    Peluse, S. & Prendiville, S., 30/04/2022, In: International Mathematics Research Notices. 8, p. 5658-5684 27 p.

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

  54. Published

    On directed analogues of expander and hyperfinite graph sequences

    Csóka, E. & Grabowski, Ł., 31/03/2022, In: Combinatorics, Probability and Computing. 31, 2, p. 184-197 14 p.

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

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