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Geometric Rigidity

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  1. 2024
  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. Published

    Equilibrium stresses and rigidity for infinite tensegrities and frameworks

    Power, S., 1/01/2024, In: Journal of Mathematical Analysis and Applications. 529, 1, 127655.

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

  9. Published

    Symmetric Frameworks on Surfaces

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

    Research output: Thesis › Doctoral Thesis

  10. 2023
  11. 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

  12. 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

  13. Forthcoming

    Rigidity of frameworks on spheres

    Nixon, A. & Hewetson, J., 10/08/2023, (Accepted/In press) 19th Cologne-Twente Workshop on Graphs and Combinatorial Optimization (CTW 2023).

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

  14. 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

  15. Published

    Recursive combinatorial constructions and rigidity of frameworks

    Hewetson, J., 2023, Lancaster University. 192 p.

    Research output: Thesis › Doctoral Thesis

  16. 2022
  17. 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

  18. 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

  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

    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

  22. 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

  23. 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

  24. 2021
  25. 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

  26. Published

    The first-order flexibility of a crystallographic framework

    Kastis, E. & Power, S., 1/12/2021, In: Journal of Mathematical Analysis and Applications. 504, 1, 16 p., 125404.

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

  27. 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

  28. E-pub ahead of print

    Crystal flex bases and the RUM spectrum

    Badri, G., Kitson, D. & Power, S., 24/11/2021, (E-pub ahead of print) In: Proceedings of the Edinburgh Mathematical Society. 64, 4, p. 735-761 27 p.

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

  29. Published

    Parallelogram Frameworks and Flexible Quasicrystals

    Power, S., 31/08/2021, In: Mathematical Proceedings of the Royal Irish Academy. 121A, 1, p. 9-31 23 p.

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

  30. Published

    Symbol functions for symmetric frameworks

    Kastis, E., Kitson, D. & McCarthy, J., 15/05/2021, In: Journal of Mathematical Analysis and Applications. 497, 2, 24 p., 124895.

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

  31. 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

  32. Published

    Equivalence of Continuous, Local and Infinitesimal Rigidity in Normed Spaces

    Dewar, S., 30/04/2021, In: Discrete and Computational Geometry. 65, p. 655–679 25 p.

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

  33. Published

    Rado's criterion over squares and higher powers

    Chow, S., Lindqvist, S. & Prendiville, S., 16/02/2021, In: Journal of the European Mathematical Society. 23, 6, p. 1925-1997 73 p.

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

  34. 2020
  35. 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

  36. Published

    Graph rigidity for unitarily invariant matrix norms

    Kitson, D. & Levene, R. H., 15/11/2020, In: Journal of Mathematical Analysis and Applications. 491, 2, 30 p., 124353.

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

  37. 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

  38. Published

    Non-Euclidean braced grids

    Power, S., 31/10/2020, In: Mathematical Proceedings of the Royal Irish Academy. 120A, 2, p. 43-57 15 p., PRIA.2020.120.06.

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

  39. 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

  40. Published

    Constructing isostatic frameworks for the ℓ1and ℓ∞-plane

    Clinch, K. & Kitson, D., 12/06/2020, In: The Electronic Journal of Combinatorics . 27, 2, 21 p., P2.49.

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

  41. 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

  42. Published

    Isotopy classes for 3-periodic net embeddings

    Power, S., Baburin, I. & Proserpio, D., 1/05/2020, In: Acta Crystallographica Section A: Foundations and Advances. 76, 3, p. 275-301 27 p.

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

  43. 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/Magazine › Journal article › peer-review

  44. 2019
  45. Published

    Coboundary operators for infinite frameworks

    Kastis, E., Kitson, D. & Power, S., 4/11/2019, In: Mathematical Proceedings of the Royal Irish Academy. 119A, 2, p. 93-110 18 p.

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

  46. Published

    Algebraic spectral synthesis and crystal rigidity

    Kastis, E. M. & Power, S. C., 1/11/2019, In: Journal of Pure and Applied Algebra. 223, 11, p. 4954-4965 12 p.

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

  47. 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/Magazine › Journal article › peer-review

  48. Published

    The rigidity of a partially triangulated torus

    Cruickshank, J., Kitson, D. & Power, S. C., 1/05/2019, In: Proceedings of the London Mathematical Society. 118, 5, p. 1277-1304 31 p.

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

  49. Published

    Quantitative bounds in the non-linear Roth theorem

    Peluse, S. & Prendiville, S., 6/03/2019, In: arXiv.

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

  50. Published

    The norm closed triple semigroup algebra

    Kastis, E., 1/03/2019, In: Israel Journal of Mathematics. 230, 2, p. 855–894 40 p.

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

  51. Published

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

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

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

  52. 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/Magazine › Journal article › peer-review

  53. Published

    Rigidity of frameworks with coordinated constraint relaxations

    Serocold, H., 2019, Lancaster University. 250 p.

    Research output: Thesis › Doctoral Thesis

  54. Published

    The rigidity of countable frameworks in normed spaces

    Dewar, S., 2019, Lancaster University. 243 p.

    Research output: Thesis › Doctoral Thesis

  55. 2018
  56. Published

    Rigidity of frameworks on expanding spheres

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

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

  57. 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/Magazine › Journal article › peer-review

  58. Published

    The rigidity of infinite graphs

    Kitson, D. & C. Power, S., 10/2018, In: Discrete and Computational Geometry. 60, 3, p. 531-557 27 p.

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

  59. Published

    Motions of grid-like reflection frameworks

    Kitson, D. & Schulze, B., 09/2018, In: Journal of Symbolic Computation. 88, p. 47-66 20 p.

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

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

  61. Published

    Rigidity with polyhedral norms

    Kitson, D., 25/07/2018, Handbook of Geometric Constraint Solving Principles. Sitharam, M., St. John, A. & Sidman, J. (eds.). CRC Press, 20 p.

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

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

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

  64. Published

    Rigidity of 1-coordinated frameworks in 2 dimensions: 16th Cologne-Twente Workshop on Graphs and Combinatorial Optimization, CTW 2018 - Proceedings of the Workshop

    Schulze, B., Serocold, H. & Theran, L., 20/06/2018, p. 60-63. 4 p.

    Research output: Contribution to conference - Without ISBN/ISSN › Conference paper › peer-review

  65. Published

    Persistent multi-robot formations with redundancy

    Burns, A., Schulze, B. & St. John, A., 31/03/2018, Distributed Autonomous Robotic Systems. Groß , R. (ed.). Springer, p. 133-146 14 p.

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

  66. Published

    Characterizing minimally flat symmetric hypergraphs

    Kaszanitzky, V. E. & Schulze, B., 19/02/2018, In: Discrete Applied Mathematics. 236, p. 256-269 14 p.

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

  67. Published

    String-node nets and meshes

    Power, S. C. & Schulze, B., 01/2018, In: Discrete and Computational Geometry. 59, 1, p. 31-58 28 p.

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

  68. 2017
  69. Published

    The parabolic algebra on Lp spaces

    Kastis, E. M., 1/11/2017, In: Journal of Mathematical Analysis and Applications. 455, 1, p. 698-713 16 p.

    Research output: Contribution to Journal/Magazine › Journal article

  70. Published

    Four variants of the Fourier-analytic transference principle

    Prendiville, S., 1/09/2017, In: Online Journal of Analytic Combinatorics. 12, 25 p.

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

  71. Published

    Elementary proofs of Kempe universality

    Power, S. C., 1/05/2017, In: Mathematical Proceedings of the Royal Irish Academy. 117A, 1, p. 23-37 15 p.

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

  72. Published

    The generic rigidity of triangulated spheres with blocks and holes

    Cruickshank, J., Kitson, D. & Power, S., 01/2017, In: Journal of Combinatorial Theory, Series B. 122, p. 550-577 28 p.

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

  73. Published

    A transference approach to a Roth-type theorem in the squares

    Prendiville, S. & Browning, T. D., 2017, In: International Mathematics Research Notices. 2017, 7, p. 2219–2248 30 p.

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

  74. Published

    Commutants of weighted shift directed graph operator algebras

    Levene, R., Kribs, D. & Power, S. C., 2017, In: Proceedings of the American Mathematical Society. 145, p. 3465-3480 16 p.

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

  75. Published

    Improvements in Birch's theorem on forms in many variables

    Browning, T. D. & Prendiville, S., 2017, In: Journal für die reine und angewandte Mathematik (Crelle's Journal). 2017, 731, p. 203–234 32 p.

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

  76. Published

    Lifting symmetric pictures to polyhedral scenes

    Kaszanitzky, V. E. & Schulze, B., 2017, In: Ars Mathematica Contemporanea. 13, 1, p. 31-47 17 p.

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

  77. Published

    Non-selfadjoint operator algebras generated by unitary semigroups

    Kastis, E. M., 2017, Lancaster University. 172 p.

    Research output: Thesis › Doctoral Thesis

  78. 2016
  79. Published

    Symmetric isostatic frameworks with l^1 or l^\infty distance constraints

    Kitson, D. & Schulze, B., 10/11/2016, In: The Electronic Journal of Combinatorics . 23, 4, 23 p., #P4.23.

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

  80. 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/Magazine › Journal article › peer-review

  81. Published

    Mobility of a class of perforated polyhedra

    Fowler, P., Guest, S. & Schulze, B., 15/05/2016, In: International Journal of Solids and Structures. 85-86, p. 105-113 9 p.

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

  82. 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/Magazine › Journal article › peer-review

  83. 2015
  84. 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/Magazine › Journal article › peer-review

  85. 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/Magazine › Journal article › peer-review

  86. Published

    The operator algebra generated by the translation, dilation and multiplication semigroups

    Kastis, L. & Power, S., 27/09/2015, In: Journal of Functional Analysis. 269, p. 3316-3335 19 p.

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

  87. Published

    Maxwell-Laman counts for bar-joint frameworks in normed spaces

    Kitson, D. & Schulze, B., 15/09/2015, In: Linear Algebra and its Applications. 481, p. 313-329 17 p.

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

  88. Published

    Finite and infinitesimal rigidity with polyhedral norms

    Kitson, D., 09/2015, In: Discrete and Computational Geometry. 54, 2, p. 390-411 22 p.

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

  89. Published

    Infinitesimal rigidity of symmetric bar-joint frameworks

    Schulze, B. & Tanigawa, S.-I., 2015, In: SIAM Journal on Discrete Mathematics. 29, 3, p. 1259-1286 28 p.

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

  90. Published

    Matrix progressions in multidimensional sets of integers

    Prendiville, S., 2015, In: Mathematika. 61, 1, p. 14-48 35 p.

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

  91. 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/Magazine › Journal article › peer-review

  92. Published

    Rigidity operators and the flexibility of infinite bar-joint frameworks

    Badri, G., 2015, Lancaster University. 246 p.

    Research output: Thesis › Doctoral Thesis

  93. 2014
  94. 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/Magazine › Journal article › peer-review

  95. Published

    Linking rigid bodies symmetrically

    Schulze, B. & Tanigawa, S.-I., 11/2014, In: European Journal of Combinatorics. 42, p. 145-166 22 p.

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

  96. 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/Magazine › Journal article › peer-review

  97. Published

    Crystal frameworks, symmetry and affinely periodic flexes

    Power, S., 31/07/2014, In: New York Journal of Mathematics. 20, p. 665-693 28 p.

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

  98. 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/Magazine › Journal article › peer-review

  99. Published

    When is a symmetric body-hinge structure isostatic?

    Schulze, B., Guest, S. & Fowler, P., 1/06/2014, In: International Journal of Solids and Structures. 51, 11-12, p. 2157-2166 10 p.

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

  100. Published

    Mobility of symmetry-regular bar-and-joint frameworks

    Fowler, P., Guest, S. & Schulze, B., 06/2014, Rigidity and symmetry. Connell, R., Weiss , A. I. & Whiteley, W. (eds.). New York: Springer, p. 117-130 14 p. (Fields Institute Communications; vol. 70).

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

  101. Published

    The almost periodic rigidity of crystallographic bar-joint frameworks

    Badri, G., Kitson, D. & Power, S., 24/04/2014, In: Symmetry. 6, 2, p. 308-328 21 p.

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

  102. Published

    How does symmetry impact the flexibility of proteins?

    Schulze, B., Sljoka, A. & Whiteley, W., 02/2014, In: Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences. 372, 2008, 20 p., 20120041.

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

  103. 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/Magazine › Journal article › peer-review

  104. 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/Magazine › Journal article › peer-review

  105. Published

    Crystal frameworks, matrix-valued functions and rigidity operators

    Power, S., 2014, Concrete operators, spectral theory, operators in harmonic analysis and approximation: 22nd International Workshop in Operator Theory and its Applications, Sevilla, July 2011. Boiso, M. C., Hedenmalm, H., Kaashoek, M. A., Rodríguez, A. M. & Treil, S. (eds.). Basel: Springer, p. 405-420 16 p. (Operator Theory: Advances and Applications; vol. 236).

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

  106. Published

    Infinitesimal rigidity for non-Euclidean bar-joint frameworks

    Kitson, D. & Power, S., 2014, In: Bulletin of the London Mathematical Society. 46, 4, p. 685-697 13 p.

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

  107. Published

    On the symmetric molecular conjectures

    Porta, J., Ros, L., Schulze, B., Sljoka, A. & Whiteley, W., 2014, Computational Kinematics: Proceedings of the 6th International Workshop on Computational Kinematics (CK2013). Thomas, F. & Gracia, A. P. (eds.). Berlin: Springer Verlag, p. 175-184 10 p. (Mechanisms and Machine Science; vol. 15).

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

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

  109. 2013
  110. Published

    Solution-free sets for sums of binary forms

    Prendiville, S., 1/08/2013, In: Proceedings of the London Mathematical Society. 107, 2, p. 267-302 36 p.

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

  111. Published

    Near-optimal mean value estimates for multidimensional Weyl sums

    Parsell, S. T., Prendiville, S. & Wooley, T. D., 2013, In: Geom. Funct. Anal.. 23, 6, p. 1962–2024 63 p.

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

  112. 2012
  113. Published

    Coning, symmetry, and spherical frameworks

    Schulze, B. & Whiteley, W., 1/10/2012, In: Discrete and Computational Geometry. 48, 3, p. 622-657 36 p.

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

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