Items where Author is "Nixon, Anthony"

Journal Article

Dewar, Sean and Grasegger, Georg and Kubjas, Kaie and Mohammadi, Fatemeh and Nixon, Anthony (2025) On the uniqueness of collections of pennies and marbles. Examples and Counterexamples, 7: 100181. ISSN 2666-657X

Nixon, Anthony and Schulze, Bernd and Wall, Joe (2025) Rigidity of Symmetric Frameworks on the Cylinder. Discrete and Computational Geometry, 73. pp. 629-673. ISSN 0179-5376

Dewar, Sean and Grasegger, Georg and Kubjas, Kaie and Mohammadi, Fatemeh and Nixon, Anthony (2025) Single-cell 3D genome reconstruction in the haploid setting using rigidity theory. Journal of Mathematical Biology, 90 (4): 45. ISSN 0303-6812

Dewar, Sean and Nixon, Anthony and Sainsbury, Andrew (2025) Rigid frameworks with dilation constraints. Discrete Mathematics, 348 (2): 114304. ISSN 0012-365X

Nixon, Anthony and Schulze, Bernd and Wall, Joe (2025) Rigidity of symmetric linearly constrained frameworks in the plane. Discrete Applied Mathematics, 361. pp. 370-388. ISSN 0166-218X

Dewar, Sean and Hewetson, John and Nixon, Anthony (2024) Uniquely realisable graphs in analytic normed planes. International Mathematics Research Notices, 2024 (17). pp. 12269-12302. ISSN 1073-7928

Chen, Bryan and Connelly, Robert and Gortler, Steven and Nixon, Anthony and Theran, Louis (2024) Universal rigidity of ladders on the line. Studia Scientiarum Mathematicarum Hungarica: Combinatorics, Geometry and Topology. (In Press)

Bernstein, Daniel and Dewar, Sean and Gortler, Steven and Nixon, Anthony and Sitharam, Meera and Theran, Louis (2024) Maximum likelihood thresholds via graph rigidity. Annals of Applied Probability, 34 (3). pp. 3288-3319. ISSN 1050-5164

Dewar, Sean and Grasegger, Georg and Kastis, Eleftherios and Nixon, Anthony (2024) Quotient graphs of symmetrically rigid frameworks. Documenta Mathematica, 29 (3). pp. 561-595. ISSN 1431-0635

Cruickshank, James and Mohammadi, Fatemeh and Motwani, Harshit and Nixon, Anthony and Tanigawa, Shinichi (2024) Global Rigidity of Line Constrained Frameworks. SIAM Journal on Discrete Mathematics, 38 (1). ISSN 0895-4801

Bernstein, Daniel and Dewar, Sean and Gortler, Steven and Nixon, Anthony and Sitharam, Meera and Theran, Louis (2023) Computing maximum likelihood thresholds using graph rigidity. Algebraic Statistics, 14 (2). pp. 287-305. ISSN 2693-3004

Dewar, Sean and Hewetson, John and Nixon, Anthony (2023) Coincident-point rigidity in normed planes. Ars Mathematica Contemporanea, 24 (1). ISSN 1855-3966

Grasegger, Georg and Guler, Hakan and Jackson, Bill and Nixon, Anthony (2023) Corrigendum to : Flexible circuits in the d-dimensional rigidity matroid (Journal of Graph Theory, (2022), 100, 2, (315-330), 10.1002/jgt.22780). Journal of Graph Theory, 103 (2). pp. 307-308. ISSN 0364-9024

Dewar, Sean and Nixon, Anthony (2022) Generalised rigid body motions in non-Euclidean planes with applications to global rigidity. Journal of Mathematical Analysis and Applications, 514 (1): 126259. ISSN 0022-247X

Grasegger, Georg and Guler, Hakan and Jackson, Bill and Nixon, Anthony (2022) Flexible circuits in the d-dimensional rigidity matroid. Journal of Graph Theory, 100 (2). pp. 315-360. ISSN 0364-9024

Dewar, Sean and Kitson, Derek and Nixon, Anthony (2022) Which graphs are rigid in l_p^d? Journal of Global Optimization, 83 (1). pp. 49-71. ISSN 0925-5001

Nixon, Anthony and Schulze, Bernd and Whiteley, Walter (2021) Rigidity through a Projective Lens. Applied Science, 11 (24): e11946.

Guler, Hakan and Jackson, Bill and Nixon, Anthony (2021) Global rigidity of 2D linearly constrained frameworks. International Mathematics Research Notices, 2021 (22). pp. 16811-16858. ISSN 1073-7928

Jackson, Bill and Nixon, Anthony and Tanigawa, Shin-Ichi (2021) An improved bound for the rigidity of linearly constrained frameworks. SIAM Journal on Discrete Mathematics, 35 (2). 928–933. ISSN 0895-4801

Kitson, Derek and Nixon, Anthony and Schulze, Bernd (2020) Rigidity of symmetric frameworks in normed spaces. Linear Algebra and its Applications, 607. pp. 231-285. ISSN 0024-3795

Clinch, Katherine and Nixon, Anthony and Schulze, Bernd and Whiteley, Walter (2020) Pairing symmetries for Euclidean and spherical frameworks. Discrete and Computational Geometry, 64. 483–518. ISSN 0179-5376

Nixon, Anthony and Power, Stephen (2020) Double-distance frameworks and mixed sparsity graphs. Discrete and Computational Geometry, 63 (2). pp. 294-318. ISSN 0179-5376

Schulze, Bernd and Nixon, Anthony and Tanigawa, Shin-ichi and Whiteley, Walter (2018) Rigidity of frameworks on expanding spheres. SIAM Journal on Discrete Mathematics, 32 (4). pp. 2591-2611. ISSN 0895-4801

Nixon, Anthony and Schulze, Bernd (2016) Symmetry-forced rigidity of frameworks on surfaces. Geometriae Dedicata, 182 (1). pp. 163-201. ISSN 0046-5755

Jackson, Bill and Nixon, Anthony (2015) Stress matrices and global rigidity of frameworks on surfaces. Discrete and Computational Geometry, 54 (3). pp. 586-609. ISSN 0179-5376

Nixon, Anthony and Ross, Elissa (2015) Periodic rigidity on a variable torus using inductive constructions. The Electronic Journal of Combinatorics, 22 (1): P1.

Nixon, Anthony (2014) A constructive characterisation of circuits in the simple (2,2)-sparsity matroid. European Journal of Combinatorics, 42. pp. 92-106. ISSN 0195-6698

Jackson, Bill and McCourt, Tom and Nixon, Anthony (2014) Necessary conditions for the generic global rigidity of frameworks on surfaces. Discrete and Computational Geometry, 52 (2). pp. 344-360. ISSN 0179-5376

Nixon, Anthony and Schulze, Bernd and Sljoka, Adnan and Whiteley, Walter (2014) Symmetry adapted Assur decompositions. Symmetry, 6 (3). pp. 516-550. ISSN 2073-8994

Nixon, Anthony and Owen, John and Power, Stephen (2014) A characterization of generically rigid frameworks on surfaces of revolution. SIAM Journal on Discrete Mathematics, 28 (4). pp. 2008-2028. ISSN 0895-4801

Nixon, Anthony and Owen, John (2014) An inductive construction of (2,1)-tight graphs. Contributions to Discrete Mathematics, 9 (2). pp. 1-16. ISSN 1715-0868

Nixon, Anthony and Owen, J. C. and Power, Stephen (2012) Rigidity of frameworks supported on surfaces. SIAM Journal on Discrete Mathematics, 26 (4). pp. 1733-1757. ISSN 0895-4801

Contribution in Book/Report/Proceedings

Nixon, Anthony and Hewetson, John (2023) Rigidity of frameworks on spheres. In: 19th Cologne-Twente Workshop on Graphs and Combinatorial Optimization (CTW 2023) :. UNSPECIFIED. (In Press)

Nixon, Anthony (2020) Assur decompositions of direction-length frameworks. In: Graphs and Combinatorial Optimization : from Theory to Applications : CTW2020 Proceedings. AIRO Springer . Springer, Cham, pp. 131-143. ISBN 9783030630713

Nixon, Anthony and Ross, Elissa (2014) One brick at a time : a survey of inductive constructions in rigidity theory. In: Rigidity and symmetry :. Fields Institute Communications . Springer, New York, pp. 303-324. ISBN 9781493907809

Book/Report/Proceedings

Nixon, Anthony and Prendiville, Sean (2022) Surveys in Combinatorics 2022. London Mathematical Society Lecture Note Series . Cambridge University Press. ISBN 9781009096225

Thesis

Wall, Joe and Nixon, Anthony and Schulze, Bernd (2024) Symmetric Frameworks on Surfaces. PhD thesis, Lancaster University.

Hewetson, John and Nixon, Anthony (2023) Recursive combinatorial constructions and rigidity of frameworks. PhD thesis, Lancaster University.