Dr Bernd Schulze

Lecturer in Pure Mathematics

Research Overview

Discrete and computational geometry

Rigidity and flexibility of discrete structures

Combinatorics

Graph Theory

Algebraic and analytic methods in discrete mathematics

String-node nets and meshes
Power, S.C., Schulze, B. 27/09/2017 In: Discrete and Computational Geometry. 28 p.
Journal article

Lifting symmetric pictures to polyhedral scenes
Kaszanitzky, V.E., Schulze, B. 2017 In: Ars Mathematica Contemporanea. 13, 1, p. 31-47. 17 p.
Journal article

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.
Journal article

Symmetry-forced rigidity of frameworks on surfaces
Nixon, A., Schulze, B. 06/2016 In: Geometriae Dedicata. 182, 1, p. 163-201. 39 p.
Journal article

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.
Journal article

Persistent multi-robot formations with redundancy
Burns, A., Schulze, B., St. John, A. 2016
Conference paper

Motions of grid-like reflection frameworks
Kitson, D., Schulze, B. 16/12/2015 In: Journal of Symbolic Computation. 20 p.
Journal article

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.
Journal article

Infinitesimal rigidity of symmetric bar-joint frameworks
Schulze, B., Tanigawa, S. 30/07/2015 In: SIAM Journal on Discrete Mathematics. 29, 3, p. 1259-1286. 28 p.
Journal article

Linking rigid bodies symmetrically
Schulze, B., Tanigawa, S. 11/2014 In: European Journal of Combinatorics. 42, p. 145-166. 22 p.
Journal article

Symmetry adapted Assur decompositions
Nixon, A., Schulze, B., Sljoka, A., Whiteley, W. 27/06/2014 In: Symmetry. 6, 3, p. 516-550. 35 p.
Journal article

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.
Journal article

Mobility of symmetry-regular bar-and-joint frameworks
Fowler, P., Guest, S., Schulze, B. 06/2014 In: Rigidity and symmetry. New York : Springer p. 117-130. 14 p.
Chapter (peer-reviewed)

How does symmetry impact the flexibility of proteins?
Schulze, B., Sljoka, A., Whiteley, W. 02/2014 In: Philosophical Transactions A: Mathematical, Physical and Engineering Sciences . 372, 2008, 20 p.
Journal article

On the symmetric molecular conjectures
Porta, J., Ros, L., Schulze, B., Sljoka, A., Whiteley, W. 2014 In: Computational Kinematics. Berlin : Springer Verlag p. 175-184. 10 p.
Paper

Coning, symmetry, and spherical frameworks
Schulze, B., Whiteley, W. 1/10/2012 In: Discrete and Computational Geometry. 48, 3, p. 622-657. 36 p.
Journal article

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.
Journal article

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.
Journal article

On the area discrepancy of triangulations of squares and trapezoids
Schulze, B. 2011 In: The Electronic Journal of Combinatorics . 18 , 1, 16 p.
Journal article

Protein flexibility of dimers: do symmetric motions play a role in allosteric interactions?
Schulze, B., Sljoka, A., Whiteley, W. 2011 In: AIP Conference Proceedings of Advances in Mathematical and Computational Methods : Addressing Modern Challenges of Science, Technology, and Society 2011. American Institute of Physics p. 135-138. 4 p.
Paper

Symmetric Versions of Laman's Theorem
Schulze, B. 12/2010 In: Discrete and Computational Geometry. 44, 4, p. 946-972. 27 p.
Journal article

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.
Journal article

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.
Journal article

Injective and non-injective realizations with symmetry
Schulze, B. 2010 In: Contributions to Discrete Mathematics. 5, 1, p. 59-89. 31 p.
Journal article

Symmetric Laman theorems for the groups C_2 and C_s
Schulze, B. 2010 In: The Electronic Journal of Combinatorics . 17, 1, 61 p.
Journal article

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.
Journal article

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.
Journal article