Dr Anthony Nixon

Lecturer in Pure Mathematics

Research Interests

  • Combinatorial rigidity
  • Graphs and matroids
  • Discrete and computational geometry
  • Algebraic and geometric techniques in discrete mathematics

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

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.
Journal article

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.
Journal article

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.
Journal article

Periodic rigidity on a variable torus using inductive constructions
Nixon, A., Ross, E. 2015 In: The Electronic Journal of Combinatorics . 22, 1, 30 p.
Journal article

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.
Journal article

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.
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

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.
Journal article

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.
Journal article

One brick at a time: a survey of inductive constructions in rigidity theory
Nixon, A., Ross, E. 2014 In: Rigidity and symmetry. New York : Springer p. 303-324. 22 p. ISBN: 9781493907809. Electronic ISBN: 9781493907816.
Chapter

Rigidity of frameworks supported on surfaces
Nixon, A., Owen, J.C., Power, S. 2012 In: SIAM Journal on Discrete Mathematics. 26, 4, p. 1733-1757. 25 p.
Journal article