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Dr Bernd Schulze

Reader in Mathematics

  1. 2023
  2. Published

    Graphic Statics and Symmetry

    Schulze, B. & Millar, C., 1/11/2023, In: International Journal of Solids and Structures. 283, 16 p., 112492.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  3. 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/MagazineJournal articlepeer-review

  4. Forthcoming

    Symmetry and the design of self-stressed structures

    Millar, C., Schulze, B., Mazurek, A. & Baker, W., 12/06/2023, (Accepted/In press) In: International Journal of Space Structures.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  5. Forthcoming

    Symmetry-extended mobility counting for plate-bar systems, with applications to rod-bar and rod-clamp frameworks

    Schulze, B., Fowler, P. & Guest, S., 15/05/2023, (Accepted/In press) In: International Journal of Solids and Structures.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  6. Published

    Sufficient connectivity conditions for rigidity of symmetric frameworks

    Kaszanitzky, V. & Schulze, B., 31/03/2023, In: European Journal of Combinatorics. 109, 15 p., 103639.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  7. Forthcoming

    Stabilization of Symmetric Formations

    Zelazo, D., Schulze, B. & Tanigawa, S., 3/03/2023, (Accepted/In press)

    Research output: Book/Report/ProceedingsProceedings

  8. 2022
  9. Published

    Frameworks with coordinated edge motions

    Schulze, B., Serocold, H. & Theran, L., 31/12/2022, In: SIAM Journal on Discrete Mathematics. 36, 4, p. 2602-2618 17 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  10. Published

    States of self-stress in symmetric frameworks and applications

    Schulze, B., Miller, C., Mazurek, A. & Baker, W., 31/01/2022, In: International Journal of Solids and Structures. 234-235, 111238.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  11. Published

    Sufficient Conditions for the Global Rigidity of Periodic Graphs

    Kaszanitzky, V., Kiraly, C. & Schulze, B., 31/01/2022, In: Discrete and Computational Geometry. 67, p. 1-16 16 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  12. 2021
  13. Published

    Scene analysis with symmetry

    Jackson, B., Kaszanitzky, V. & Schulze, B., 31/12/2021, Conference on Developments in Computer Science. Csuhaj-Varju, E. & Sziklai, P. (eds.). Budapest: Eotvos Lorand University, p. 83-86 4 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

  14. 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

  15. Published

    Global Rigidity of Periodic Graphs under Fixed-lattice Representations

    Kaszanitzky, V., Schulze, B. & Tanigawa, S., 1/01/2021, In: Journal of Combinatorial Theory, Series B. 146, p. 176-218 43 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  16. 2020
  17. 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

  18. 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

  19. 2019
  20. 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

  21. 2018
  22. 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

  23. Published

    Mobility of symmetric block-and-hole polyhedra

    Guest, S., Fowler, P. & Schulze, B., 1/10/2018, In: International Journal of Solids and Structures. 150, p. 40-51 12 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  24. 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/MagazineJournal articlepeer-review

  25. Published

    Combinatorial rigidity of symmetric and periodic frameworks

    Schulze, B., 19/07/2018, Handbook of Geometric Constraint Systems Principles. Sitharam, M., St. John, A. & Sidman, J. (eds.). Chapman and Hall/CRC Press, (Discrete Mathematics and Its Applications).

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

  26. 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 paperpeer-review

  27. 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/ISSNConference contribution/Paperpeer-review

  28. 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/MagazineJournal articlepeer-review

  29. 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/MagazineJournal articlepeer-review

  30. 2017
  31. Published

    Rigidity and scene analysis

    Schulze, B. & Whiteley, W., 9/11/2017, Handbook of Discrete and Computational Geometry. Toth, C. D., O'Rourke, J. & Goodman, J. E. (eds.). 3rd ed. Chapman and Hall/CRC Press, (Discrtete Mathematics and Its Applications).

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

  32. Published

    Rigidity of symmetric frameworks

    Schulze, B. & Whiteley, W., 9/11/2017, Handbook of Discrete and Computational Geometry. Toth, C. D., O'Rourke, J. & Goodman, J. E. (eds.). 3rd ed. Chapman and Hall/CRC Press, (Discrete Mathematics and Its Applications).

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

  33. 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/MagazineJournal articlepeer-review

  34. 2016
  35. 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/MagazineJournal articlepeer-review

  36. 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

  37. 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/MagazineJournal articlepeer-review

  38. 2015
  39. 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/MagazineJournal articlepeer-review

  40. Published

    Infinitesimal rigidity of symmetric bar-joint frameworks

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

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  41. 2014
  42. Published

    Linking rigid bodies symmetrically

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

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  43. 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

  44. 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/MagazineJournal articlepeer-review

  45. 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/ISSNChapter (peer-reviewed)

  46. 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/MagazineJournal articlepeer-review

  47. 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/ISSNConference contribution/Paperpeer-review

  48. 2012
  49. 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/MagazineJournal articlepeer-review

  50. 2011
  51. Published

    The orbit rigidity matrix of a symmetric framework

    Schulze, B. & Whiteley, W., 10/2011, In: Discrete and Computational Geometry. 46, 3, p. 561-598 38 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  52. Published

    Finite motions from periodic frameworks with added symmetry

    Ross, E., Schulze, B. & Whiteley, W., 1/06/2011, In: International Journal of Solids and Structures. 48, 11-12, p. 1711-1729 19 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  53. Published

    On the area discrepancy of triangulations of squares and trapezoids

    Schulze, B., 2011, In: The Electronic Journal of Combinatorics . 18 , 1, 16 p., P137.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  54. Published

    Protein flexibility of dimers: do symmetric motions play a role in allosteric interactions?

    Schulze, B., Sljoka, A. & Whiteley, W., 2011, AIP Conference Proceedings of Advances in Mathematical and Computational Methods : Addressing Modern Challenges of Science, Technology, and Society 2011. American Institute of Physics, Vol. 1368. p. 135-138 4 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

  55. 2010
  56. Published

    Symmetric Versions of Laman's Theorem

    Schulze, B., 12/2010, In: Discrete and Computational Geometry. 44, 4, p. 946-972 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  57. Published

    When is a symmetric body-bar structure isostatic?

    Guest, S., Schulze, B. & Whiteley, W., 1/10/2010, In: International Journal of Solids and Structures. 47, 20, p. 2745-2754 10 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  58. Published

    Block-diagonalized rigidity matrices of symmetric frameworks and applications

    Schulze, B., 2010, In: Contributions to Algebra and Geometry. 51, 2, p. 427-466 40 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  59. Published

    Injective and non-injective realizations with symmetry

    Schulze, B., 2010, In: Contributions to Discrete Mathematics. 5, 1, p. 59-89 31 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  60. Published

    Symmetric Laman theorems for the groups C_2 and C_s

    Schulze, B., 2010, In: The Electronic Journal of Combinatorics . 17, 1, 61 p., R154.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  61. Published

    Symmetry as a sufficient condition for a finite flex

    Schulze, B., 2010, In: SIAM Journal on Discrete Mathematics. 24, 4, p. 1291-1312 22 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  62. 2009
  63. Published

    When is a symmetric pin-jointed framework isostatic?

    Connelly, R., Fowler, P., Guest, S., Schulze, B. & Whiteley, W., 02/2009, In: International Journal of Solids and Structures. 46, 3-4, p. 762-773 12 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

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