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

Characterizing minimally flat symmetric hypergraphs
Kaszanitzky, V.E., Schulze, B. 6/12/2017 In: Discrete Applied Mathematics.
Journal article

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