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Dr Bernd Schulze

Senior Lecturer in Pure Mathematics

  1. 2019
  2. 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 journalJournal article

  3. 2018
  4. 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 journalJournal article

  5. 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 journalJournal article

  6. 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 journalJournal article

  7. 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)

  8. 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

  9. 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/Paper

  10. 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 journalJournal article

  11. 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 journalJournal article

  12. 2017
  13. 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)

  14. 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)

  15. 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 journalJournal article

  16. 2016
  17. 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 journalJournal article

  18. 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 journalJournal article

  19. 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 journalJournal article

  20. 2015
  21. 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 journalJournal article

  22. 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 journalJournal article

  23. 2014
  24. 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 journalJournal article

  25. 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 journalJournal article

  26. 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 journalJournal article

  27. 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)

  28. 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 journalJournal article

  29. 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/Paper

  30. 2012
  31. 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 journalJournal article

  32. 2011
  33. 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 journalJournal article

  34. 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 journalJournal article

  35. 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 journalJournal article

  36. 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/Paper

  37. 2010
  38. 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 journalJournal article

  39. 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 journalJournal article

  40. 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 journalJournal article

  41. 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 journalJournal article

  42. 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 journalJournal article

  43. 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 journalJournal article

  44. 2009
  45. 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 journalJournal article

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