References¶
S. Alireza Motevallian, Changbin Yu, and Brian D.O. Anderson. On the robustness to multiple agent losses in 2d and 3d formations. International Journal of Robust and Nonlinear Control, 25(11):1654–1687, 2014. doi:10.1002/rnc.3167.
Bill Jackson and Tibor Jordán. Connected rigidity matroids and unique realizations of graphs. Journal of Combinatorial Theory, Series B, 94(1):1–29, 2005. doi:10.1016/j.jctb.2004.11.002.
Tibor Jordán. Combinatorial Rigidity: Graphs and Matroids in the Theory of Rigid Frameworks, pages 33–112. The Mathematical Society of Japan, 2016. doi:10.2969/msjmemoirs/03401c020.
Tibor Jordán. Minimum size highly redundantly rigid graphs in the plane. Graphs and Combinatorics, 37(4):1415–1431, 2021. doi:10.1007/s00373-021-02327-4.
Tibor Jordán, Christopher Poston, and Ryan Roach. Extremal families of redundantly rigid graphs in three dimensions. Discrete Applied Mathematics, 322:448–464, 2022. doi:10.1016/j.dam.2022.03.006.
Viktória E. Kaszanitzky and Csaba Király. On minimally highly vertex-redundantly rigid graphs. Graphs and Combinatorics, 32(1):225–240, 2015. doi:10.1007/s00373-015-1560-3.
Gerard Laman. On graphs and rigidity of plane skeletal structures. Journal of Engineering Mathematics, 4:331–340, 1970. doi:10.1007/BF01534980.
Audrey Lee and Ileana Streinu. Pebble game algorithms and sparse graphs. Discrete Mathematics, 308(8):1425–1437, 2008. doi:10.1016/j.disc.2007.07.104.
Brigitte Servatius. Birigidity in the plane. SIAM Journal on Discrete Mathematics, 2(4):582–589, 1989. doi:10.1137/0402050.
Tyler H. Summers, Changbin Yu, and Brian D.O. Anderson. Addressing agent loss in vehicle formations and sensor networks. International Journal of Robust and Nonlinear Control, 19(15):1673–1696, 2008. doi:10.1002/rnc.1400.
Hilda Pollaczek-Geiringer. Über die Gliederung ebener Fachwerke. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 7:58–72, 1927. doi:10.1002/zamm.19270070107.