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Research Articles

Hypergraph LSS-ideals and coordinate sections of symmetric tensors

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Pages 4033-4043 | Received 21 Jun 2022, Accepted 09 Jan 2023, Published online: 27 Apr 2023

References

  • Avramov, L. L. (1981). Complete intersections and symmetric algebras. J. Algebra 73:248–263. DOI: 10.1016/0021-8693(81)90357-4.
  • Berge, C. (1989). Hypergraphs. Combinatorics of Finite Sets. Amsterdam: North-Holland.
  • Blekherman, G., Teitler, Z. (2015). On the maximum, typical and generic ranks. Math. Ann. 362:1021–1031. DOI: 10.1007/s00208-014-1150-3.
  • Brambilla, M. C., Ottaviani, G. (2008). On the Alexander-Hirschowitz theorem. J. Pure Appl. Algebra 212: 1229–1251. DOI: 10.1016/j.jpaa.2007.09.014.
  • Brandstadt, A., Dragan, F., Chepoe, V., Voloshin, V. (1998). Dually chordal graphs. SIAM J. Discrete Math 11: 437–455. DOI: 10.1137/S0895480193253415.
  • Conca, A., Welker, V. (2019). Lovász-Saks-Schrijver ideals and coordinate sections of determinantal varieties. Algebra Number Theory 13(2):455–484. DOI: 10.2140/ant.2019.13.455.
  • Herzog, J., Macchia, A., Saeedi Madani, S., and Welker, V. (2015). On the ideal of orthogonal representations of a graph in R2 . Adv. Appl. Math. 71:146–173. DOI: 10.1016/j.aam.2015.09.009.
  • Huneke, C. (1981). On the symmetric algebra of a module. J. Algebra 69:113–119. 90131-9 DOI: 10.1016/0021-8693(81).
  • Landsberg, J. M. (2012). Tensors: Geometry and Applications, Graduate Studies in Mathematics, Vol. 128. Providence, RI: American Mathematical Society. DOI: 10.1090/gsm/128.
  • Lovász, L. (1979). On the Shannon capacity of a graph. IEEE Trans. Inform. Theory 25:1–7. DOI: 10.1109/TIT.1979.1055985
  • Lovász, L. (2019). Graphs and Geometry, American Mathematical Society Colloquium Publications, Vol. 65. Providence, RI: American Mathematical Society. DOI: 10.1090/coll/065.
  • Lovász, L., Saks, M., Schrijver, A. (1989). Orthogonal representations and connectivity of graphs. Linear Algebra Appl. 114/115:439–454. DOI: 10.1016/0024-3795(89)90475-8.
  • Lovász, L., Saks, M., Schrijver, A. (2000). A correction: Orthogonal representations and connectivity of graphs. Linear Algebra Appl. 313:101–105. DOI: 10.1016/S0024-3795(00)00091-4.
  • Nieminen, J., Peltola, M. (1999). Hypertrees. Appl. Math. Lett. 12:35–38. DOI: 10.1016/S0893-9659(98)00145-1.

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