Garamvölgyi, Dániel; Jordán, Tibor; Király, Csaba Count and cofactor matroids of highly connected graphs. (English) Zbl 07818609 J. Comb. Theory, Ser. B 166, 1-29 (2024). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05B35 05C40 52C25 PDFBibTeX XMLCite \textit{D. Garamvölgyi} et al., J. Comb. Theory, Ser. B 166, 1--29 (2024; Zbl 07818609) Full Text: DOI arXiv
Cruickshank, James; Mohammadi, Fatemeh; Motwani, Harshit J.; Nixon, Anthony; Tanigawa, Shin-ichi Global rigidity of line constrained frameworks. (English) Zbl 07809679 SIAM J. Discrete Math. 38, No. 1, 743-763 (2024). MSC: 52C25 05C10 PDFBibTeX XMLCite \textit{J. Cruickshank} et al., SIAM J. Discrete Math. 38, No. 1, 743--763 (2024; Zbl 07809679) Full Text: DOI arXiv
Jordán, Tibor; Huang, Robin; Simmons, Henry; Weatherspoon, Kaylee; Zheng, Zeyu Four-regular graphs with extremal rigidity properties. (English) Zbl 07806366 Discrete Math. 347, No. 4, Article ID 113833, 11 p. (2024). MSC: 05C10 52C25 PDFBibTeX XMLCite \textit{T. Jordán} et al., Discrete Math. 347, No. 4, Article ID 113833, 11 p. (2024; Zbl 07806366) Full Text: DOI
Gkioulekas, Ioannis; Gortler, Steven J.; Theran, Louis; Zickler, Todd Trilateration using unlabeled path or loop lengths. (English) Zbl 07802595 Discrete Comput. Geom. 71, No. 2, 399-441 (2024). MSC: 52C25 05C10 05C12 94A12 PDFBibTeX XMLCite \textit{I. Gkioulekas} et al., Discrete Comput. Geom. 71, No. 2, 399--441 (2024; Zbl 07802595) Full Text: DOI arXiv OA License
Liu, Shiping; Münch, Florentin; Peyerimhoff, Norbert Rigidity properties of the hypercube via Bakry-Émery curvature. (English) Zbl 07802392 Math. Ann. 388, No. 2, 1225-1259 (2024). MSC: 05C65 05C10 52C25 PDFBibTeX XMLCite \textit{S. Liu} et al., Math. Ann. 388, No. 2, 1225--1259 (2024; Zbl 07802392) Full Text: DOI arXiv OA License
Jordán, Tibor Ear-decompositions, minimally connected matroids and rigid graphs. (English) Zbl 07796978 J. Graph Theory 105, No. 3, 451-467 (2024). MSC: 05B35 52B40 05C10 52C25 PDFBibTeX XMLCite \textit{T. Jordán}, J. Graph Theory 105, No. 3, 451--467 (2024; Zbl 07796978) Full Text: DOI OA License
Grasegger, Georg; El Hilany, Boulos; Lubbes, Niels Coupler curves of moving graphs and counting realizations of rigid graphs. (English) Zbl 1525.05030 Math. Comput. 93, No. 345, 459-504 (2024). MSC: 05C10 14C20 52C25 PDFBibTeX XMLCite \textit{G. Grasegger} et al., Math. Comput. 93, No. 345, 459--504 (2024; Zbl 1525.05030) Full Text: DOI arXiv
Dewar, Sean; Hewetson, John; Nixon, Anthony Coincident-point rigidity in normed planes. (English) Zbl 1522.52040 Ars Math. Contemp. 24, No. 1, Paper No. 10, 17 p. (2024). MSC: 52C25 05C10 52B40 46B20 PDFBibTeX XMLCite \textit{S. Dewar} et al., Ars Math. Contemp. 24, No. 1, Paper No. 10, 17 p. (2024; Zbl 1522.52040) Full Text: DOI arXiv
Power, S. C. Equilibrium stresses and rigidity for infinite tensegrities and frameworks. (English) Zbl 07739961 J. Math. Anal. Appl. 529, No. 1, Article ID 127655, 17 p. (2024). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 52C25 05C62 70B15 70C20 PDFBibTeX XMLCite \textit{S. C. Power}, J. Math. Anal. Appl. 529, No. 1, Article ID 127655, 17 p. (2024; Zbl 07739961) Full Text: DOI arXiv
Chen, Qianfan; Jajodia, Siddhant; Jordán, Tibor; Perkins, Kate Redundantly globally rigid braced triangulations. (English) Zbl 1522.52039 Ars Math. Contemp. 24, No. 1, Paper No. 3, 13 p. (2024). MSC: 52C25 05C10 PDFBibTeX XMLCite \textit{Q. Chen} et al., Ars Math. Contemp. 24, No. 1, Paper No. 3, 13 p. (2024; Zbl 1522.52039) Full Text: DOI
Dewar, Sean; Grasegger, Georg; Nixon, Anthony; Rosen, Zvi; Sims, William; Sitharam, Meera; Urizar, David Angular constraints on planar frameworks. arXiv:2403.16145 Preprint, arXiv:2403.16145 [math.CO] (2024). MSC: 52C25 05C10 52C35 BibTeX Cite \textit{S. Dewar} et al., ``Angular constraints on planar frameworks'', Preprint, arXiv:2403.16145 [math.CO] (2024) Full Text: arXiv OA License
Blåsten, Emilia; Isozaki, Hiroshi; Lassas, Matti; Lu, Jinpeng Gelfand’s inverse problem for the graph Laplacian. (English) Zbl 1526.05088 J. Spectr. Theory 13, No. 1, 1-45 (2023). MSC: 05C50 52C25 05C22 PDFBibTeX XMLCite \textit{E. Blåsten} et al., J. Spectr. Theory 13, No. 1, 1--45 (2023; Zbl 1526.05088) Full Text: DOI arXiv
Grasegger, Georg; Guler, Hakan; Jackson, Bill; Nixon, Anthony Corrigendum to: “Flexible circuits in the \(d\)-dimensional rigidity matroid”. (English) Zbl 07749413 J. Graph Theory 103, No. 2, 307-308 (2023). MSC: 52C25 05B35 05C10 PDFBibTeX XMLCite \textit{G. Grasegger} et al., J. Graph Theory 103, No. 2, 307--308 (2023; Zbl 07749413) Full Text: DOI
Dewar, Sean Classifying the globally rigid edge-transitive graphs and distance-regular graphs in the plane. (English) Zbl 1522.05082 J. Graph Theory 103, No. 2, 175-185 (2023). MSC: 05C12 05C10 52C25 PDFBibTeX XMLCite \textit{S. Dewar}, J. Graph Theory 103, No. 2, 175--185 (2023; Zbl 1522.05082) Full Text: DOI arXiv
Lew, Alan; Nevo, Eran; Peled, Yuval; Raz, Orit E. On the \(d\)-dimensional algebraic connectivity of graphs. (English) Zbl 1522.05253 Isr. J. Math. 256, No. 2, 479-511 (2023). MSC: 05C40 05C50 05C10 15A18 52C25 PDFBibTeX XMLCite \textit{A. Lew} et al., Isr. J. Math. 256, No. 2, 479--511 (2023; Zbl 1522.05253) Full Text: DOI arXiv
Lew, Alan; Nevo, Eran; Peled, Yuval; Raz, Orit E. Sharp threshold for rigidity of random graphs. (English) Zbl 1519.05221 Bull. Lond. Math. Soc. 55, No. 1, 490-501 (2023). MSC: 05C80 05C10 52C25 PDFBibTeX XMLCite \textit{A. Lew} et al., Bull. Lond. Math. Soc. 55, No. 1, 490--501 (2023; Zbl 1519.05221) Full Text: DOI arXiv
Cioabă, Sebastian M.; Dewar, Sean; Grasegger, Georg; Gu, Xiaofeng Graph rigidity properties of Ramanujan graphs. (English) Zbl 1519.05151 Electron. J. Comb. 30, No. 3, Research Paper P3.12, 24 p. (2023). MSC: 05C50 05C40 52C25 15A18 PDFBibTeX XMLCite \textit{S. M. Cioabă} et al., Electron. J. Comb. 30, No. 3, Research Paper P3.12, 24 p. (2023; Zbl 1519.05151) Full Text: DOI arXiv
Novik, Isabella; Zheng, Hailun Reconstructing simplicial polytopes from their graphs and affine 2-stresses. (English) Zbl 1525.51014 Isr. J. Math. 255, No. 2, 891-910 (2023). Reviewer: Lionel Pournin (Paris) MSC: 51M20 52B05 52B11 05C65 52C25 PDFBibTeX XMLCite \textit{I. Novik} and \textit{H. Zheng}, Isr. J. Math. 255, No. 2, 891--910 (2023; Zbl 1525.51014) Full Text: DOI arXiv
Malić, Goran; Streinu, Ileana Computing circuit polynomials in the algebraic rigidity matroid. (English) Zbl 1521.68267 SIAM J. Appl. Algebra Geom. 7, No. 2, 345-385 (2023). MSC: 68W30 05B35 13P10 13P15 14Q20 52C25 68Q06 PDFBibTeX XMLCite \textit{G. Malić} and \textit{I. Streinu}, SIAM J. Appl. Algebra Geom. 7, No. 2, 345--385 (2023; Zbl 1521.68267) Full Text: DOI arXiv
Deshpande, Priyavrat; Manikandan, Naageswaran; Singh, Anurag On the topology of bi-cyclopermutohedra. (English) Zbl 1517.51010 Indian J. Pure Appl. Math. 54, No. 1, 159-181 (2023). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51M20 52C25 57R70 06A11 05B99 PDFBibTeX XMLCite \textit{P. Deshpande} et al., Indian J. Pure Appl. Math. 54, No. 1, 159--181 (2023; Zbl 1517.51010) Full Text: DOI arXiv
Lundqvist, Signe; Stokes, Klara; Öhman, Lars-Daniel Exploring the rigidity of planar configurations of points and rods. (English) Zbl 1515.05044 Discrete Appl. Math. 336, 68-82 (2023). MSC: 05B35 05B25 52C25 52C35 PDFBibTeX XMLCite \textit{S. Lundqvist} et al., Discrete Appl. Math. 336, 68--82 (2023; Zbl 1515.05044) Full Text: DOI
Fan, Dandan; Huang, Xueyi; Lin, Huiqiu Spectral radius conditions for the rigidity of graphs. (English) Zbl 1514.05096 Electron. J. Comb. 30, No. 2, Research Paper P2.14, 14 p. (2023). MSC: 05C50 05C62 05C40 52C25 PDFBibTeX XMLCite \textit{D. Fan} et al., Electron. J. Comb. 30, No. 2, Research Paper P2.14, 14 p. (2023; Zbl 1514.05096) Full Text: DOI
Raz, Orit E.; Solymosi, József Dense graphs have rigid parts. (English) Zbl 1514.05087 Discrete Comput. Geom. 69, No. 4, 1079-1094 (2023). MSC: 05C42 05C62 05B30 52C25 52C10 PDFBibTeX XMLCite \textit{O. E. Raz} and \textit{J. Solymosi}, Discrete Comput. Geom. 69, No. 4, 1079--1094 (2023; Zbl 1514.05087) Full Text: DOI arXiv
Chudnovsky, Maria; Nevo, Eran Stable sets in flag spheres. (English) Zbl 1512.05107 Eur. J. Comb. 110, Article ID 103699, 9 p. (2023). MSC: 05C10 52C25 05C35 PDFBibTeX XMLCite \textit{M. Chudnovsky} and \textit{E. Nevo}, Eur. J. Comb. 110, Article ID 103699, 9 p. (2023; Zbl 1512.05107) Full Text: DOI arXiv
Crespo, Ruiz Luis; Santos, Francisco Bar-and-joint rigidity on the moment curve coincides with cofactor rigidity on a conic. (English) Zbl 1511.52020 Comb. Theory 3, No. 1, Paper No. 15, 13 p. (2023). MSC: 52C25 52B40 05C20 PDFBibTeX XMLCite \textit{R. L. Crespo} and \textit{F. Santos}, Comb. Theory 3, No. 1, Paper No. 15, 13 p. (2023; Zbl 1511.52020) Full Text: DOI arXiv
Cruickshank, James; Jackson, Bill; Tanigawa, Shin-ichi Vertex splitting, coincident realisations, and global rigidity of braced triangulations. (English) Zbl 1508.52011 Discrete Comput. Geom. 69, No. 1, 192-208 (2023). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 52C25 05C10 05C75 PDFBibTeX XMLCite \textit{J. Cruickshank} et al., Discrete Comput. Geom. 69, No. 1, 192--208 (2023; Zbl 1508.52011) Full Text: DOI arXiv
Bartzos, Evangelos; Emiris, Ioannis Z.; Tzamos, Charalambos An asymptotic upper bound for graph embeddings. (English) Zbl 1506.05141 Discrete Appl. Math. 327, 157-177 (2023). MSC: 05C60 05C10 52C25 PDFBibTeX XMLCite \textit{E. Bartzos} et al., Discrete Appl. Math. 327, 157--177 (2023; Zbl 1506.05141) Full Text: DOI
Kaszanitzky, Viktória E.; Schulze, Bernd Sufficient connectivity conditions for rigidity of symmetric frameworks. (English) Zbl 1505.05077 Eur. J. Comb. 109, Article ID 103639, 16 p. (2023). MSC: 05C40 05C10 52C25 PDFBibTeX XMLCite \textit{V. E. Kaszanitzky} and \textit{B. Schulze}, Eur. J. Comb. 109, Article ID 103639, 16 p. (2023; Zbl 1505.05077) Full Text: DOI arXiv
Guler, Hakan A sufficient connectivity condition for rigidity and global rigidity of linearly constrained frameworks in \(\mathbb{R}^2\). (English) Zbl 1504.05071 Discrete Appl. Math. 326, 37-46 (2023). MSC: 05C10 05C62 52C25 05B35 PDFBibTeX XMLCite \textit{H. Guler}, Discrete Appl. Math. 326, 37--46 (2023; Zbl 1504.05071) Full Text: DOI arXiv
Maffucci, Riccardo W. Self-dual polyhedra of given degree sequence. (English) Zbl 1502.05234 Art Discrete Appl. Math. 6, No. 1, Paper No. P1.04, 12 p. (2023). MSC: 05C85 05C07 05C35 05C10 52B05 52B10 52C25 PDFBibTeX XMLCite \textit{R. W. Maffucci}, Art Discrete Appl. Math. 6, No. 1, Paper No. P1.04, 12 p. (2023; Zbl 1502.05234) Full Text: DOI arXiv
Clinch, Katie Global rigidity of 2-dimensional direction-length frameworks with connected rigidity matroids. (English) Zbl 1504.05070 Discrete Appl. Math. 325, 241-261 (2023). MSC: 05C10 52C25 05B35 52B40 PDFBibTeX XMLCite \textit{K. Clinch}, Discrete Appl. Math. 325, 241--261 (2023; Zbl 1504.05070) Full Text: DOI arXiv
Garamvölgyi, Dániel; Jordán, Tibor Minimally globally rigid graphs. (English) Zbl 1504.05197 Eur. J. Comb. 108, Article ID 103626, 19 p. (2023). MSC: 05C62 05C42 05C10 52C25 PDFBibTeX XMLCite \textit{D. Garamvölgyi} and \textit{T. Jordán}, Eur. J. Comb. 108, Article ID 103626, 19 p. (2023; Zbl 1504.05197) Full Text: DOI arXiv
Dewar, Sean; Legerský, Jan Flexing infinite frameworks with applications to braced Penrose tilings. (English) Zbl 1503.05026 Discrete Appl. Math. 324, 1-17 (2023). MSC: 05C10 05C63 52C25 PDFBibTeX XMLCite \textit{S. Dewar} and \textit{J. Legerský}, Discrete Appl. Math. 324, 1--17 (2023; Zbl 1503.05026) Full Text: DOI arXiv
Nixon, Anthony; Schulze, Bernd; Wall, Joseph Rigidity of symmetric linearly constrained frameworks in the plane. arXiv:2312.12158 Preprint, arXiv:2312.12158 [math.CO] (2023). MSC: 52C25 05C70 20C35 BibTeX Cite \textit{A. Nixon} et al., ``Rigidity of symmetric linearly constrained frameworks in the plane'', Preprint, arXiv:2312.12158 [math.CO] (2023) Full Text: arXiv OA License
Karpenkov, Oleg; Mohammadi, Fatemeh; Müller, Christian; Schulze, Bernd A differential approach to Maxwell-Cremona liftings. arXiv:2312.09891 Preprint, arXiv:2312.09891 [math.MG] (2023). MSC: 05C10 52C25 57Q99 BibTeX Cite \textit{O. Karpenkov} et al., ``A differential approach to Maxwell-Cremona liftings'', Preprint, arXiv:2312.09891 [math.MG] (2023) Full Text: arXiv OA License
Krivelevich, Michael; Lew, Alan; Michaeli, Peleg Rigid partitions: from high connectivity to random graphs. arXiv:2311.14451 Preprint, arXiv:2311.14451 [math.CO] (2023). MSC: 05C10 52C25 05C40 05C80 05C50 BibTeX Cite \textit{M. Krivelevich} et al., ``Rigid partitions: from high connectivity to random graphs'', Preprint, arXiv:2311.14451 [math.CO] (2023) Full Text: arXiv OA License
Nagaraju, Mohith Raju Conformal Tilings, Combinatorial Curvature, and the Type Problem. arXiv:2311.08233 Preprint, arXiv:2311.08233 [math.CV] (2023). MSC: 52C26 30F45 52C25 52C20 05C10 52B70 BibTeX Cite \textit{M. R. Nagaraju}, ``Conformal Tilings, Combinatorial Curvature, and the Type Problem'', Preprint, arXiv:2311.08233 [math.CV] (2023) Full Text: arXiv OA License
Dewar, Sean; Grasegger, Georg The number of realisations of a rigid graph in Euclidean and spherical geometries. arXiv:2309.16416 Preprint, arXiv:2309.16416 [math.CO] (2023). MSC: 52C25 05C30 68R10 68R12 BibTeX Cite \textit{S. Dewar} and \textit{G. Grasegger}, ``The number of realisations of a rigid graph in Euclidean and spherical geometries'', Preprint, arXiv:2309.16416 [math.CO] (2023) Full Text: arXiv OA License
Chen, Bryan Gin-ge; Cruickshank, James; Kitson, Derek Block-and-hole graphs: Constructibility and \((3,0)\)-sparsity. arXiv:2309.06804 Preprint, arXiv:2309.06804 [math.CO] (2023). MSC: 52C25 05C10 BibTeX Cite \textit{B. G. g. Chen} et al., ``Block-and-hole graphs: Constructibility and $(3,0)$-sparsity'', Preprint, arXiv:2309.06804 [math.CO] (2023) Full Text: arXiv OA License
Maffucci, Riccardo W. On self-duality and unigraphicity for \(3\)-polytopes. arXiv:2308.12853 Preprint, arXiv:2308.12853 [math.CO] (2023). MSC: 05C85 05C07 05C76 05C62 05C10 52B05 52B10 52C25 BibTeX Cite \textit{R. W. Maffucci}, ``On self-duality and unigraphicity for $3$-polytopes'', Preprint, arXiv:2308.12853 [math.CO] (2023) Full Text: arXiv OA License
Cho, Yunhi; Kim, Seonhwa Rigidity of nonconvex polyhedra with respect to edge lengths and dihedral angles. arXiv:2307.14769 Preprint, arXiv:2307.14769 [math.GT] (2023). MSC: 52B10 52C25 05C10 BibTeX Cite \textit{Y. Cho} and \textit{S. Kim}, ``Rigidity of nonconvex polyhedra with respect to edge lengths and dihedral angles'', Preprint, arXiv:2307.14769 [math.GT] (2023) Full Text: arXiv OA License
Dewar, Sean; Grasegger, Georg; Kubjas, Kaie; Mohammadi, Fatemeh; Nixon, Anthony On the uniqueness of collections of pennies and marbles. arXiv:2307.03525 Preprint, arXiv:2307.03525 [math.CO] (2023). MSC: 05C10 52C25 52C17 BibTeX Cite \textit{S. Dewar} et al., ``On the uniqueness of collections of pennies and marbles'', Preprint, arXiv:2307.03525 [math.CO] (2023) Full Text: arXiv OA License
Murai, Satoshi; Novik, Isabella; Zheng, Hailun Affine stresses, inverse systems, and reconstruction problems. arXiv:2306.09816 Preprint, arXiv:2306.09816 [math.CO] (2023). MSC: 13F55 05E45 52C25 52B05 BibTeX Cite \textit{S. Murai} et al., ``Affine stresses, inverse systems, and reconstruction problems'', Preprint, arXiv:2306.09816 [math.CO] (2023) Full Text: arXiv OA License
Dewar, Sean; Kitson, Derek Rigid graphs in cylindrical normed spaces. arXiv:2305.08421 Preprint, arXiv:2305.08421 [math.MG] (2023). MSC: 52C25 52A21 05C50 BibTeX Cite \textit{S. Dewar} and \textit{D. Kitson}, ``Rigid graphs in cylindrical normed spaces'', Preprint, arXiv:2305.08421 [math.MG] (2023) Full Text: arXiv OA License
Grasegger, Georg; Legerský, Jan Flexibility and rigidity of frameworks consisting of triangles and parallelograms. arXiv:2305.01570 Preprint, arXiv:2305.01570 [math.CO] (2023). MSC: 52C25 05C70 05B45 BibTeX Cite \textit{G. Grasegger} and \textit{J. Legerský}, ``Flexibility and rigidity of frameworks consisting of triangles and parallelograms'', Preprint, arXiv:2305.01570 [math.CO] (2023) Full Text: arXiv OA License
Winter, Martin Rigidity, Tensegrity and Reconstruction of Polytopes under Metric Constraints. arXiv:2302.14194 Preprint, arXiv:2302.14194 [math.CO] (2023). MSC: 51M20 52B11 52C25 05C50 BibTeX Cite \textit{M. Winter}, ``Rigidity, Tensegrity and Reconstruction of Polytopes under Metric Constraints'', Preprint, arXiv:2302.14194 [math.CO] (2023) Full Text: arXiv OA License
Dewar, Sean Identifying contact graphs of sphere packings with generic radii. arXiv:2302.12588 Preprint, arXiv:2302.12588 [math.CO] (2023). MSC: 05B40 52C17 52C25 BibTeX Cite \textit{S. Dewar}, ``Identifying contact graphs of sphere packings with generic radii'', Preprint, arXiv:2302.12588 [math.CO] (2023) Full Text: arXiv OA License
Grasegger, Georg; Guler, Hakan; Jackson, Bill; Nixon, Anthony Flexible circuits in the \(d\)-dimensional rigidity matroid. (English) Zbl 1523.52032 J. Graph Theory 100, No. 2, 315-330 (2022); corrigendum ibid. 103, No. 2, 307-308 (2023). MSC: 52C25 05B35 05C10 PDFBibTeX XMLCite \textit{G. Grasegger} et al., J. Graph Theory 100, No. 2, 315--330 (2022; Zbl 1523.52032) Full Text: DOI arXiv
Guler, Hakan; Jackson, Bill A necessary condition for generic rigidity of bar-and-joint frameworks in \(d\)-space. (English) Zbl 1522.05064 J. Graph Theory 99, No. 2, 231-239 (2022). MSC: 05C10 05C62 05B35 52C25 PDFBibTeX XMLCite \textit{H. Guler} and \textit{B. Jackson}, J. Graph Theory 99, No. 2, 231--239 (2022; Zbl 1522.05064) Full Text: DOI arXiv
Clinch, Katie; Jackson, Bill; Tanigawa, Shin-ichi Abstract 3-rigidity and bivariate \(C_2^1\)-splines. I: Whiteley’s maximality conjecture. (English) Zbl 1506.05040 Discrete Anal. 2022, Paper No. 2, 50 p. (2022). MSC: 05B35 05C10 52C25 PDFBibTeX XMLCite \textit{K. Clinch} et al., Discrete Anal. 2022, Paper No. 2, 50 p. (2022; Zbl 1506.05040) Full Text: DOI arXiv
Clinch, Katie; Jackson, Bill; Tanigawa, Shin-ichi Abstract 3-rigidity and bivariate \(C_2^1\)-splines. II: Combinatorial characterization. (English) Zbl 1503.05017 Discrete Anal. 2022, Paper No. 3, 32 p. (2022). MSC: 05B35 05C10 52C25 52B40 41A15 PDFBibTeX XMLCite \textit{K. Clinch} et al., Discrete Anal. 2022, Paper No. 3, 32 p. (2022; Zbl 1503.05017) Full Text: DOI arXiv
Schulze, Bernd; Serocold, Hattie; Theran, Louis Frameworks with coordinated edge motions. (English) Zbl 1501.52013 SIAM J. Discrete Math. 36, No. 4, 2602-2618 (2022). MSC: 52C25 05B35 68R10 PDFBibTeX XMLCite \textit{B. Schulze} et al., SIAM J. Discrete Math. 36, No. 4, 2602--2618 (2022; Zbl 1501.52013) Full Text: DOI arXiv
Király, Csaba; Mihálykó, András Globally rigid augmentation of rigid graphs. (English) Zbl 1501.05002 SIAM J. Discrete Math. 36, No. 4, 2473-2496 (2022). MSC: 05C10 05C40 68R10 52C25 90C27 PDFBibTeX XMLCite \textit{C. Király} and \textit{A. Mihálykó}, SIAM J. Discrete Math. 36, No. 4, 2473--2496 (2022; Zbl 1501.05002) Full Text: DOI
Servatius, Brigitte \(k\)-plane matroids and Whiteley’s flattening conjectures. (English) Zbl 1500.05014 Hoffman, Frederick (ed.), Combinatorics, graph theory and computing. Proceedings of the 51st southeastern international conference, SEICCGTC 2020, Boca Raton, USA, March 9–13, 2020. Cham: Springer. Springer Proc. Math. Stat. 388, 109-115 (2022). MSC: 05B35 52B40 52C25 PDFBibTeX XMLCite \textit{B. Servatius}, Springer Proc. Math. Stat. 388, 109--115 (2022; Zbl 1500.05014) Full Text: DOI
Jordán, Tibor; Poston, Christopher; Roach, Ryan Extremal families of redundantly rigid graphs in three dimensions. (English) Zbl 1498.05143 Discrete Appl. Math. 322, 448-464 (2022). MSC: 05C35 05C75 05C10 52C25 PDFBibTeX XMLCite \textit{T. Jordán} et al., Discrete Appl. Math. 322, 448--464 (2022; Zbl 1498.05143) Full Text: DOI
Bernstein, Daniel Irving; Gortler, Steven J. \(K_{5, 5}\) is fully reconstructible in \(\mathbb{C}^3\). (English) Zbl 1498.05187 Discrete Appl. Math. 322, 442-447 (2022). MSC: 05C60 52C25 51K99 05C10 PDFBibTeX XMLCite \textit{D. I. Bernstein} and \textit{S. J. Gortler}, Discrete Appl. Math. 322, 442--447 (2022; Zbl 1498.05187) Full Text: DOI arXiv
Jordán, Tibor; Tanigawa, Shin-ichi Rigidity of random subgraphs and eigenvalues of stiffness matrices. (English) Zbl 1498.05242 SIAM J. Discrete Math. 36, No. 3, 2367-2392 (2022). MSC: 05C80 05C50 05D40 15B52 15A18 52C25 PDFBibTeX XMLCite \textit{T. Jordán} and \textit{S.-i. Tanigawa}, SIAM J. Discrete Math. 36, No. 3, 2367--2392 (2022; Zbl 1498.05242) Full Text: DOI
Bartzos, Evangelos; Emiris, Ioannis Z.; Vidunas, Raimundas New upper bounds for the number of embeddings of minimally rigid graphs. (English) Zbl 1497.05180 Discrete Comput. Geom. 68, No. 3, 796-816 (2022). MSC: 05C60 05C30 14N10 52C25 PDFBibTeX XMLCite \textit{E. Bartzos} et al., Discrete Comput. Geom. 68, No. 3, 796--816 (2022; Zbl 1497.05180) Full Text: DOI arXiv
Guler, Hakan; Jackson, Bill Coincident rigidity of 2-dimensional frameworks. (English) Zbl 1494.05030 Graphs Comb. 38, No. 4, Paper No. 128, 24 p. (2022). MSC: 05C10 05B35 52C25 PDFBibTeX XMLCite \textit{H. Guler} and \textit{B. Jackson}, Graphs Comb. 38, No. 4, Paper No. 128, 24 p. (2022; Zbl 1494.05030) Full Text: DOI arXiv
Garamvölgyi, Dániel; Gortler, Steven J.; Jordán, Tibor Globally rigid graphs are fully reconstructible. (English) Zbl 1494.05074 Forum Math. Sigma 10, Paper No. e51, 27 p. (2022). MSC: 05C60 05B35 52C25 PDFBibTeX XMLCite \textit{D. Garamvölgyi} et al., Forum Math. Sigma 10, Paper No. e51, 27 p. (2022; Zbl 1494.05074) Full Text: DOI arXiv
Dewar, Sean; Nixon, Anthony Generalised rigid body motions in non-Euclidean planes with applications to global rigidity. (English) Zbl 1491.52019 J. Math. Anal. Appl. 514, No. 1, Article ID 126259, 31 p. (2022). MSC: 52C25 05C69 52A21 PDFBibTeX XMLCite \textit{S. Dewar} and \textit{A. Nixon}, J. Math. Anal. Appl. 514, No. 1, Article ID 126259, 31 p. (2022; Zbl 1491.52019) Full Text: DOI arXiv
Bernstein, Daniel Irving Generic symmetry-forced infinitesimal rigidity: translations and rotations. (English) Zbl 1487.52028 SIAM J. Appl. Algebra Geom. 6, No. 2, 190-215 (2022). MSC: 52C25 05B35 14T20 PDFBibTeX XMLCite \textit{D. I. Bernstein}, SIAM J. Appl. Algebra Geom. 6, No. 2, 190--215 (2022; Zbl 1487.52028) Full Text: DOI arXiv
Jordán, Tibor; Tanigawa, Shin-ichi Globally rigid powers of graphs. (English) Zbl 1487.05185 J. Comb. Theory, Ser. B 155, 111-140 (2022). MSC: 05C62 52C25 05C10 92E10 05C92 PDFBibTeX XMLCite \textit{T. Jordán} and \textit{S.-i. Tanigawa}, J. Comb. Theory, Ser. B 155, 111--140 (2022; Zbl 1487.05185) Full Text: DOI
Dewar, Sean; Kitson, Derek; Nixon, Anthony Which graphs are rigid in \(\ell_p^d\)? (English) Zbl 1487.05156 J. Glob. Optim. 83, No. 1, 49-71 (2022). MSC: 05C50 05B35 52B40 52C25 PDFBibTeX XMLCite \textit{S. Dewar} et al., J. Glob. Optim. 83, No. 1, 49--71 (2022; Zbl 1487.05156) Full Text: DOI arXiv
Biswas, Arindam Flexibility and movability in Cayley graphs. (English) Zbl 1487.05111 Ann. Comb. 26, No. 1, 205-220 (2022). MSC: 05C25 05C76 52C25 70B15 05C15 05C38 51K99 PDFBibTeX XMLCite \textit{A. Biswas}, Ann. Comb. 26, No. 1, 205--220 (2022; Zbl 1487.05111) Full Text: DOI arXiv
Kitson, D.; Power, S. C. The rigidity of infinite graphs. II. (English) Zbl 1486.05211 Graphs Comb. 38, No. 3, Paper No. 83, 23 p. (2022). MSC: 05C63 05C30 52C25 PDFBibTeX XMLCite \textit{D. Kitson} and \textit{S. C. Power}, Graphs Comb. 38, No. 3, Paper No. 83, 23 p. (2022; Zbl 1486.05211) Full Text: DOI
Mc Glue, Ciaran; Stokes, Klara Generating all rigidity circuits on at most 10 vertices and all Assur graphs on at most 11 vertices. (English) Zbl 1482.05162 J. Integer Seq. 25, No. 1, Article 22.1.3, 22 p. (2022). MSC: 05C30 05C62 52C25 70B15 PDFBibTeX XMLCite \textit{C. Mc Glue} and \textit{K. Stokes}, J. Integer Seq. 25, No. 1, Article 22.1.3, 22 p. (2022; Zbl 1482.05162) Full Text: Link
Kaszanitzky, Viktória E.; Király, Csaba; Schulze, Bernd Sufficient conditions for the global rigidity of periodic graphs. (English) Zbl 1480.52017 Discrete Comput. Geom. 67, No. 1, 1-16 (2022). MSC: 52C25 05B35 05C10 68R10 PDFBibTeX XMLCite \textit{V. E. Kaszanitzky} et al., Discrete Comput. Geom. 67, No. 1, 1--16 (2022; Zbl 1480.52017) Full Text: DOI arXiv
Connelly, Robert; Guest, Simon D. Frameworks, tensegrities, and symmetry. (English) Zbl 1524.74001 Cambridge: Cambridge University Press (ISBN 978-0-521-87910-1/hbk; 978-0-511-84329-7/ebook). xiv, 283 p. (2022). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 74-01 52-01 52C25 70B15 70C20 74E20 74K10 74K99 05C62 68U05 PDFBibTeX XMLCite \textit{R. Connelly} and \textit{S. D. Guest}, Frameworks, tensegrities, and symmetry. Cambridge: Cambridge University Press (2022; Zbl 1524.74001) Full Text: DOI
Garamvölgyi, Dániel Global rigidity of (quasi-)injective frameworks on the line. (English) Zbl 1477.52032 Discrete Math. 345, No. 2, Article ID 112687, 8 p. (2022). MSC: 52C25 05C78 68U05 PDFBibTeX XMLCite \textit{D. Garamvölgyi}, Discrete Math. 345, No. 2, Article ID 112687, 8 p. (2022; Zbl 1477.52032) Full Text: DOI
Nixon, Anthony; Schulze, Bernd; Wall, Joseph Rigidity of symmetric frameworks on the cylinder. arXiv:2210.06060 Preprint, arXiv:2210.06060 [math.CO] (2022). MSC: 52C25 05C70 20C35 BibTeX Cite \textit{A. Nixon} et al., ``Rigidity of symmetric frameworks on the cylinder'', Preprint, arXiv:2210.06060 [math.CO] (2022) Full Text: arXiv OA License
Dewar, Sean; Hewetson, John; Nixon, Anthony Uniquely realisable graphs in analytic normed planes. arXiv:2206.07426 Preprint, arXiv:2206.07426 [math.CO] (2022). MSC: 52C25 05C10 52A21 53A35 52B40 BibTeX Cite \textit{S. Dewar} et al., ``Uniquely realisable graphs in analytic normed planes'', Preprint, arXiv:2206.07426 [math.CO] (2022) Full Text: arXiv OA License
Cruickshank, James; Jackson, Bill; Tanigawa, Shin-ichi Global Rigidity of Triangulated Manifolds. arXiv:2204.02503 Preprint, arXiv:2204.02503 [math.CO] (2022). MSC: 52C25 05E45 52B05 05C10 BibTeX Cite \textit{J. Cruickshank} et al., ``Global Rigidity of Triangulated Manifolds'', Preprint, arXiv:2204.02503 [math.CO] (2022) Full Text: arXiv OA License
Dewar, Sean; Grasegger, Georg; Kastis, Eleftherios; Nixon, Anthony Quotient graphs of symmetrically rigid frameworks. arXiv:2202.09165 Preprint, arXiv:2202.09165 [math.CO] (2022). MSC: 52C25 05E18 05C10 60C05 BibTeX Cite \textit{S. Dewar} et al., ``Quotient graphs of symmetrically rigid frameworks'', Preprint, arXiv:2202.09165 [math.CO] (2022) Full Text: arXiv OA License
Recski, András An analogy and several symmetries. (English) Zbl 1507.94077 Darvas, György (ed.), Complex symmetries. Cham: Birkhäuser. 95-104 (2021). MSC: 94C15 05B35 52C25 70C20 PDFBibTeX XMLCite \textit{A. Recski}, in: Complex symmetries. Cham: Birkhäuser. 95--104 (2021; Zbl 1507.94077) Full Text: DOI
Chatzikonstantinou, Nikolaos; Iosevich, Alex; Mkrtchyan, Sevak; Pakianathan, Jonathan Rigidity, graphs and Hausdorff dimension. (English) Zbl 07620490 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 73-106 (2021). Reviewer: Mikhail Kabenyuk (Kemerovo) MSC: 52C25 05C12 05C10 28A78 42C10 PDFBibTeX XMLCite \textit{N. Chatzikonstantinou} et al., Springer Proc. Math. Stat. 347, 73--106 (2021; Zbl 07620490) Full Text: DOI arXiv
Weydemann, Leonard; Clemenz, Christian; Preisinger, Clemens On the structural properties of Voronoi diagrams. (English) Zbl 1485.52016 KoG 25, 72-77 (2021). MSC: 52C25 05B45 PDFBibTeX XMLCite \textit{L. Weydemann} et al., KoG 25, 72--77 (2021; Zbl 1485.52016) Full Text: DOI
Greenfeld, Rachel; Tao, Terence The structure of translational tilings in \(\mathbb{Z}^d\). (English) Zbl 1482.05036 Discrete Anal. 2021, Paper No. 16, 28 p. (2021). MSC: 05B45 52C22 52C25 52C45 PDFBibTeX XMLCite \textit{R. Greenfeld} and \textit{T. Tao}, Discrete Anal. 2021, Paper No. 16, 28 p. (2021; Zbl 1482.05036) Full Text: DOI arXiv
Guler, Hakan; Jackson, Bill; Nixon, Anthony Global rigidity of 2D linearly constrained frameworks. (English) Zbl 1480.05096 Int. Math. Res. Not. 2021, No. 22, 16811-16858 (2021). MSC: 05C62 05C10 52C25 PDFBibTeX XMLCite \textit{H. Guler} et al., Int. Math. Res. Not. 2021, No. 22, 16811--16858 (2021; Zbl 1480.05096) Full Text: DOI arXiv Link
Dewar, Sean Flexible placements of periodic graphs in the plane. (English) Zbl 1478.05032 Discrete Comput. Geom. 66, No. 4, 1286-1329 (2021). MSC: 05C10 05C15 52C25 13A18 PDFBibTeX XMLCite \textit{S. Dewar}, Discrete Comput. Geom. 66, No. 4, 1286--1329 (2021; Zbl 1478.05032) Full Text: DOI arXiv
Gu, Xiaofeng; Meng, Wei; Rolek, Martin; Wang, Yue; Yu, Gexin Sufficient conditions for 2-dimensional global rigidity. (English) Zbl 1477.05096 SIAM J. Discrete Math. 35, No. 4, 2520-2534 (2021). MSC: 05C40 05C75 05C10 52C25 PDFBibTeX XMLCite \textit{X. Gu} et al., SIAM J. Discrete Math. 35, No. 4, 2520--2534 (2021; Zbl 1477.05096) Full Text: DOI arXiv
Ogievetsky, Oleg; Shlosman, Senya Platonic compounds of cylinders. (English) Zbl 1468.52013 Novikov, Sergey (ed.) et al., Integrability, quantization, and geometry II. Quantum theories and algebraic geometry. Dedicated to the memory of Boris Dubrovin 1950–2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 103, Part 2, 447-480 (2021). MSC: 52C17 05B40 52C25 PDFBibTeX XMLCite \textit{O. Ogievetsky} and \textit{S. Shlosman}, Proc. Symp. Pure Math. 103, 447--480 (2021; Zbl 1468.52013) Full Text: arXiv
Cioabă, Sebastian M.; Dewar, Sean; Gu, Xiaofeng Spectral conditions for graph rigidity in the Euclidean plane. (English) Zbl 1469.05102 Discrete Math. 344, No. 10, Article ID 112527, 9 p. (2021). MSC: 05C50 05C10 52C25 05C40 PDFBibTeX XMLCite \textit{S. M. Cioabă} et al., Discrete Math. 344, No. 10, Article ID 112527, 9 p. (2021; Zbl 1469.05102) Full Text: DOI arXiv
Garamvölgyi, Dániel On the global rigidity of tensegrity graphs. (English) Zbl 1469.05149 Discrete Appl. Math. 302, 114-122 (2021). MSC: 05C78 05C62 68Q25 52C25 51F99 PDFBibTeX XMLCite \textit{D. Garamvölgyi}, Discrete Appl. Math. 302, 114--122 (2021; Zbl 1469.05149) Full Text: DOI
Jordán, Tibor Minimum size highly redundantly rigid graphs in the plane. (English) Zbl 07375718 Graphs Comb. 37, No. 4, 1415-1431 (2021). MSC: 05C10 52C25 PDFBibTeX XMLCite \textit{T. Jordán}, Graphs Comb. 37, No. 4, 1415--1431 (2021; Zbl 07375718) Full Text: DOI
Garamvölgyi, Dániel; Jordán, Tibor Graph reconstruction from unlabeled edge lengths. (English) Zbl 1480.05095 Discrete Comput. Geom. 66, No. 1, 344-385 (2021). MSC: 05C62 05C60 05C12 52C25 PDFBibTeX XMLCite \textit{D. Garamvölgyi} and \textit{T. Jordán}, Discrete Comput. Geom. 66, No. 1, 344--385 (2021; Zbl 1480.05095) Full Text: DOI
Ogievetsky, Oleg; Shlosman, Senya Extremal cylinder configurations. I: Configuration \(C_{\mathfrak{m}} \). (English) Zbl 1468.52012 Discrete Comput. Geom. 66, No. 1, 140-164 (2021). Reviewer: Piotr Pokora (Kraków) MSC: 52C17 52C25 05B40 PDFBibTeX XMLCite \textit{O. Ogievetsky} and \textit{S. Shlosman}, Discrete Comput. Geom. 66, No. 1, 140--164 (2021; Zbl 1468.52012) Full Text: DOI arXiv
Jackson, Bill; Nixon, Anthony; Tanigawa, Shin-ichi An improved bound for the rigidity of linearly constrained frameworks. (English) Zbl 1464.52012 SIAM J. Discrete Math. 35, No. 2, 928-933 (2021). MSC: 52C25 05C10 53A05 PDFBibTeX XMLCite \textit{B. Jackson} et al., SIAM J. Discrete Math. 35, No. 2, 928--933 (2021; Zbl 1464.52012) Full Text: DOI arXiv
Jordán, Tibor A note on generic rigidity of graphs in higher dimension. (English) Zbl 1462.05259 Discrete Appl. Math. 297, 97-101 (2021). MSC: 05C62 52C25 05C35 05C42 PDFBibTeX XMLCite \textit{T. Jordán}, Discrete Appl. Math. 297, 97--101 (2021; Zbl 1462.05259) Full Text: DOI
Karpenkov, Oleg; Mueller, Christian Geometric criteria for realizability of tensegrities in higher dimensions. (English) Zbl 1462.05113 SIAM J. Discrete Math. 35, No. 2, 637-660 (2021). MSC: 05C10 52C25 53A70 51M20 05C62 PDFBibTeX XMLCite \textit{O. Karpenkov} and \textit{C. Mueller}, SIAM J. Discrete Math. 35, No. 2, 637--660 (2021; Zbl 1462.05113) Full Text: DOI arXiv
Belabbas, Mohamed-Ali; Chen, Xudong Triangulated Laman graphs, local stochastic matrices, and limits of their products. (English) Zbl 1462.15036 Linear Algebra Appl. 619, 176-209 (2021). MSC: 15B51 05C50 40A20 52C25 60J05 PDFBibTeX XMLCite \textit{M.-A. Belabbas} and \textit{X. Chen}, Linear Algebra Appl. 619, 176--209 (2021; Zbl 1462.15036) Full Text: DOI arXiv
Ogievetsky, Oleg; Shlosman, Senya The six cylinders problem: \(\mathbb{D}_3\)-symmetry approach. (English) Zbl 1458.05041 Discrete Comput. Geom. 65, No. 2, 385-404 (2021). MSC: 05B40 52C25 52C17 PDFBibTeX XMLCite \textit{O. Ogievetsky} and \textit{S. Shlosman}, Discrete Comput. Geom. 65, No. 2, 385--404 (2021; Zbl 1458.05041) Full Text: DOI arXiv
Bernstein, Daniel Irving; Dewar, Sean; Gortler, Steven J.; Nixon, Anthony; Sitharam, Meera; Theran, Louis Maximum likelihood thresholds via graph rigidity. arXiv:2108.02185 Preprint, arXiv:2108.02185 [math.CO] (2021). MSC: 05C75 62A99 52C25 62R01 90C25 BibTeX Cite \textit{D. I. Bernstein} et al., ``Maximum likelihood thresholds via graph rigidity'', Preprint, arXiv:2108.02185 [math.CO] (2021) Full Text: arXiv OA License
Cruickshank, James; Kastis, Eleftherios; Kitson, Derek; Schulze, Bernd Braced triangulations and rigidity. arXiv:2107.03829 Preprint, arXiv:2107.03829 [math.CO] (2021). MSC: 52C25 05C10 46B20 BibTeX Cite \textit{J. Cruickshank} et al., ``Braced triangulations and rigidity'', Preprint, arXiv:2107.03829 [math.CO] (2021) Full Text: arXiv OA License
Bartzos, Evangelos; Emiris, Ioannis Z.; Schicho, Josef On the multihomogeneous Bézout bound on the number of embeddings of minimally rigid graphs. (English) Zbl 1464.05266 Appl. Algebra Eng. Commun. Comput. 31, No. 5-6, 325-357 (2020). MSC: 05C60 05C10 14N10 52C25 PDFBibTeX XMLCite \textit{E. Bartzos} et al., Appl. Algebra Eng. Commun. Comput. 31, No. 5--6, 325--357 (2020; Zbl 1464.05266) Full Text: DOI arXiv
Power, Stephen C. Non-Euclidean braced grids. (English) Zbl 1459.52017 Math. Proc. R. Ir. Acad. 120A, No. 2, 43-57 (2020). MSC: 52C25 05C15 PDFBibTeX XMLCite \textit{S. C. Power}, Math. Proc. R. Ir. Acad. 120A, No. 2, 43--57 (2020; Zbl 1459.52017) Full Text: DOI arXiv
Kitson, D.; Nixon, A.; Schulze, B. Rigidity of symmetric frameworks in normed spaces. (English) Zbl 1461.52024 Linear Algebra Appl. 607, 231-285 (2020). Reviewer: Vladimir Mityushev (Kraków) MSC: 52C25 05C50 05B35 PDFBibTeX XMLCite \textit{D. Kitson} et al., Linear Algebra Appl. 607, 231--285 (2020; Zbl 1461.52024) Full Text: DOI arXiv
Adiprasito, Karim; Nevo, Eran Rigidity with few locations. (English) Zbl 1461.52023 Isr. J. Math. 240, No. 2, 711-723 (2020). MSC: 52C25 05A99 05B35 57Q15 05C62 PDFBibTeX XMLCite \textit{K. Adiprasito} and \textit{E. Nevo}, Isr. J. Math. 240, No. 2, 711--723 (2020; Zbl 1461.52023) Full Text: DOI arXiv
Grasegger, Georg; Legerský, Jan; Schicho, Josef On the classification of motions of paradoxically movable graphs. (English) Zbl 1503.05086 J. Comput. Geom. 11, No. 1, 548-575 (2020). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 05C62 05C85 52C25 68U05 70B15 PDFBibTeX XMLCite \textit{G. Grasegger} et al., J. Comput. Geom. 11, No. 1, 548--575 (2020; Zbl 1503.05086) Full Text: DOI arXiv
Clinch, Katie; Jackson, Bill; Keevash, Peter Global rigidity of direction-length frameworks. (English) Zbl 1451.52012 J. Comb. Theory, Ser. B 145, 145-168 (2020). MSC: 52C25 05C99 PDFBibTeX XMLCite \textit{K. Clinch} et al., J. Comb. Theory, Ser. B 145, 145--168 (2020; Zbl 1451.52012) Full Text: DOI arXiv Link