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  1. Published

    Equivalence of Continuous, Local and Infinitesimal Rigidity in Normed Spaces

    Dewar, S., 30/04/2021, In: Discrete and Computational Geometry. 65, p. 655–679 25 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  2. Published

    Equilibrium stresses and rigidity for infinite tensegrities and frameworks

    Power, S., 1/01/2024, In: Journal of Mathematical Analysis and Applications. 529, 1, 127655.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  3. Published

    Elementary proofs of Kempe universality

    Power, S. C., 1/05/2017, In: Mathematical Proceedings of the Royal Irish Academy. 117A, 1, p. 23-37 15 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  4. Published

    Double-distance frameworks and mixed sparsity graphs

    Nixon, A. & Power, S., 31/03/2020, In: Discrete and Computational Geometry. 63, 2, p. 294-318 25 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  5. Published

    Crystal frameworks, symmetry and affinely periodic flexes

    Power, S., 31/07/2014, In: New York Journal of Mathematics. 20, p. 665-693 28 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  6. Published

    Crystal frameworks, matrix-valued functions and rigidity operators

    Power, S., 2014, Concrete operators, spectral theory, operators in harmonic analysis and approximation: 22nd International Workshop in Operator Theory and its Applications, Sevilla, July 2011. Boiso, M. C., Hedenmalm, H., Kaashoek, M. A., Rodríguez, A. M. & Treil, S. (eds.). Basel: Springer, p. 405-420 16 p. (Operator Theory: Advances and Applications; vol. 236).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

  7. E-pub ahead of print

    Crystal flex bases and the RUM spectrum

    Badri, G., Kitson, D. & Power, S., 24/11/2021, (E-pub ahead of print) In: Proceedings of the Edinburgh Mathematical Society. 64, 4, p. 735-761 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  8. Published

    Corrigendum to: Flexible circuits in the d-dimensional rigidity matroid (Journal of Graph Theory, (2022), 100, 2, (315-330), 10.1002/jgt.22780)

    Grasegger, G., Guler, H., Jackson, B. & Nixon, A., 30/06/2023, In: Journal of Graph Theory. 103, 2, p. 307-308 2 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  9. Published

    Convergent Hahn Series and Tropical Geometry of Higher Rank

    Joswig, M. & Smith, B., 30/04/2023, In: Journal of the London Mathematical Society. 107, 4, p. 1450-1481 32 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  10. Published

    Continuous curves from infinite Kempe linkages.

    Owen, J. C. & Power, S. C., 12/2009, In: Bulletin of the London Mathematical Society. 41, 6, p. 1105-1111 7 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  11. Published

    Constructing isostatic frameworks for the ℓ1and ℓ-plane

    Clinch, K. & Kitson, D., 12/06/2020, In: The Electronic Journal of Combinatorics . 27, 2, 21 p., P2.49.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  12. 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 Journal/MagazineJournal articlepeer-review

  13. Published

    Computing maximum likelihood thresholds using graph rigidity

    Bernstein, D., Dewar, S., Gortler, S., Nixon, A., Sitharam, M. & Theran, L., 31/12/2023, In: Algebraic Statistics. 14, 2, p. 287-305 19 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  14. Published

    Commutants of weighted shift directed graph operator algebras

    Levene, R., Kribs, D. & Power, S. C., 2017, In: Proceedings of the American Mathematical Society. 145, p. 3465-3480 16 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  15. Published

    Coincident-point rigidity in normed planes

    Dewar, S., Hewetson, J. & Nixon, A., 7/09/2023, In: Ars Mathematica Contemporanea. 24, 1, 17 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  16. Published

    Coboundary operators for infinite frameworks

    Kastis, E., Kitson, D. & Power, S., 4/11/2019, In: Mathematical Proceedings of the Royal Irish Academy. 119A, 2, p. 93-110 18 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  17. 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 Journal/MagazineJournal articlepeer-review

  18. Published

    Change of metrics in rigidity theory

    Nixon, A. K. & Whiteley, W., 25/07/2018, Handbook of Geometric Constraint Systems Principles. Sitharam, M., St. John, A. & Sidman, J. (eds.). CRC Press, 31 p. (Discrete Mathematics and Its Applications).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

  19. 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 Journal/MagazineJournal articlepeer-review

  20. Published

    Assur decompositions of direction-length frameworks

    Nixon, A., 9/11/2020, Graphs and Combinatorial Optimization : from Theory to Applications : CTW2020 Proceedings. Gentile, C., Stecca, G. & Ventura, P. (eds.). Cham: Springer, p. 131-143 12 p. (AIRO Springer).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

  21. Published

    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., 053306.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  22. Published

    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.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  23. Published

    An improved bound for the rigidity of linearly constrained frameworks

    Jackson, B., Nixon, A. & Tanigawa, S.-I., 4/05/2021, In: SIAM Journal on Discrete Mathematics. 35, 2, p. 928–933 6 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  24. Published

    Algebraic spectral synthesis and crystal rigidity

    Kastis, E. M. & Power, S. C., 1/11/2019, In: Journal of Pure and Applied Algebra. 223, 11, p. 4954-4965 12 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  25. Published

    A transference approach to a Roth-type theorem in the squares

    Prendiville, S. & Browning, T. D., 2017, In: International Mathematics Research Notices. 2017, 7, p. 2219–2248 30 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  26. Published

    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.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  27. Published

    A constructive characterisation of circuits in the simple (2,1)-sparse matroid

    McCourt, T. & Nixon, A. K., 10/2018, In: Journal of Graph Theory. 89, 2, p. 150-175 26 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  28. Published

    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.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

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