RUS  ENG
Full version
JOURNALS // Sibirskii Matematicheskii Zhurnal

Sibirsk. Mat. Zh., 2005, Volume 46, Number 1, Pages 90–97 (Mi smj960)

The Cayley–Menger determinant is irreducible for $n\geqslant3$
C. D'Andrea, M. Sombra

This publication is cited in the following articles:
  1. Mario Gómez, Facundo Mémoli, “The Four Point Condition: An Elementary Tropicalization of Ptolemy's Inequality”, The American Mathematical Monthly, 131:3 (2024), 187  crossref
  2. Hiroshi Maehara, Horst Martini, Birkhäuser Advanced Texts Basler Lehrbücher, Circles, Spheres and Spherical Geometry, 2024, 239  crossref
  3. S. N. Mikhalev, “A metric description of flexible octahedra”, Sb. Math., 214:7 (2023), 952–981  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
  4. Daniel A. Klain, “Tetrahedra with Congruent Facet Pairs”, Math Intelligencer, 45:3 (2023), 251  crossref
  5. Christoph Dlapa, Martin Helmer, Georgios Papathanasiou, Felix Tellander, “Symbol alphabets from the Landau singular locus”, J. High Energ. Phys., 2023:10 (2023)  crossref
  6. John R. Kender, Parijat Dube, Zhengyang Han, Bishwaranjan Bhattacharjee, 2023 IEEE/CVF International Conference on Computer Vision Workshops (ICCVW), 2023, 1085  crossref
  7. Ron M. Roth, “Higher-Order MDS Codes”, IEEE Trans. Inform. Theory, 68:12 (2022), 7798  crossref
  8. Patterson S.J., “On a Question of H. a. Schwarz”, Stoch. Dyn., 21:03 (2021), 2140004  crossref  mathscinet  zmath  isi  scopus
  9. Al-Mayyahi A., Aldair A.A., Chatwin Ch., “Control of a 3-Rrr Planar Parallel Robot Using Fractional Order Pid Controller”, Int. J. Autom. Comput., 17:6 (2020), 822–836  crossref  mathscinet  isi  scopus
  10. Maehara H., Martini H., “Bipartite Sets of Spheres and Casey-Type Theorems”, Results Math., 74:1 (2019), UNSP 47  crossref  mathscinet  isi  scopus
  11. Grinberg D., Olver P.J., “the N Body Matrix and Its Determinant”, SIAM J. Appl. Algebr. Geom., 3:1 (2019), 67–86  crossref  mathscinet  zmath  isi
  12. Petrov M.S., Todorov T.D., “Stable Subdivision of 4D Polytopes”, Numer. Algorithms, 79:2 (2018), 633–656  crossref  mathscinet  zmath  isi  scopus
  13. Hajja M., Hayajneh M., Nguyen B., Shaqaqha Sh., “Irreducibility of the Cayley-Menger Determinant and of a Class of Related Polynomials”, Beitr. Algebr. Geom., 59:2 (2018), 327–342  crossref  mathscinet  zmath  isi  scopus
  14. Petrov M.S., Todorov T.D., “Successive Partitions of Ideal 4D-Domains”, C. R. Acad. Bulg. Sci., 71:12 (2018), 1592–1602  crossref  mathscinet  zmath  isi  scopus
  15. Dias T., “New Equations For Central Configurations and Generic Finiteness”, Proc. Amer. Math. Soc., 145:7 (2017), 3069–3084  crossref  mathscinet  zmath  isi  scopus
  16. Yu. S. Reznikova, “Multidimensional triangle-truncated simplexes”, Russian Math. (Iz. VUZ), 60:7 (2016), 79–86  mathnet  crossref  isi
  17. Applied RVE Reconstruction and Homogenization of Heterogeneous Materials, 2016, 179  crossref
  18. Baniassadi M., Safdari M., Garmestani H., Ahzi S., Geubelle P.H., Remond Y., “An Optimum Approximation of N-Point Correlation Functions of Random Heterogeneous Material Systems”, J. Chem. Phys., 140:7 (2014), 074905  crossref  isi  scopus
  19. Dittrich B., Kaminski W., Steinhaus S., “Discretization Independence Implies Non-Locality in 4D Discrete Quantum Gravity”, Class. Quantum Gravity, 31:24 (2014), 245009  crossref  mathscinet  zmath  isi  elib  scopus
  20. Beck M., De Silva J., Dorfsman-Hopkins G., Pruitt J., Ruiz A., “The Combinatorics of Interval-Vector Polytopes”, Electron. J. Comb., 20:3 (2013), P22  mathscinet  zmath  isi
  21. Bilet V., Dovgoshey O., “Isometric Embeddings of Pretangent Spaces in E-N”, Bull. Belg. Math. Soc.-Simon Steven, 20:1 (2013), 91–110  mathscinet  zmath  isi
  22. Peng Ch.-Yu., “A Note on Optimal Allocations for the Second Elementary Symmetric Function with Applications for Optimal Reliability Design”, Nav. Res. Logist., 59:3-4 (2012), 278–284  crossref  mathscinet  isi  scopus
  23. Kohnert A., Kurz S., “Integral point sets over $Z^m_n$”, Discrete Appl. Math., 157:9 (2009), 2105–2117  crossref  mathscinet  zmath  isi  scopus


© Steklov Math. Inst. of RAS, 2025