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Binomial edge ideals with pure resolutions

  • Autores: Dariush Kiani, Sara Saeedi Madani
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 65, Fasc. 3, 2014, págs. 331-340
  • Idioma: inglés
  • DOI: 10.1007/s13348-014-0107-x
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • We characterize all graphs whose binomial edge ideals have pure resolutions. Moreover, we introduce a new switching of graphs which does not change some algebraic invariants of graphs, and using this, we study the linear strand of the binomial edge ideals for some classes of graphs. Also, we pose a conjecture on the linear strand of such ideals for every graph.

  • Referencias bibliográficas
    • Cox, D.A., Erskine, A.: On closed graphs. Preprint, (2013), arXiv:1306.5149
    • Dokuyucu, A.: Extremal Betti numbers of some classes of binomial edge ideals. Preprint, (2013), arXiv:1310.2903
    • Ene, V., Herzog, J., Hibi, T.: Cohen–Macaulay binomial edge ideals. Nagoya Math. J. 204, 57–68 (2011)
    • Ene, V., Herzog, J., Hibi, T., Qureshi, A.A.: The binomial edge ideal of a pair of graphs. Nagoya Math. J. 213, 105–125 (2014)
    • Ene, V., Zarojanu, A.: On the regularity of binomial edge ideals. Math. Nachr. (2013)
    • Herzog, J., Hibi, T.: Monomial Ideals, Graduate Texts in Mathematics 260. Springer, (2010)
    • Herzog, J., Hibi, T., Hreinsdotir, F., Kahle, T., Rauh, J.: Binomial edge ideals and conditional independence statements. Adv. Appl. Math....
    • Kiani, D., Saeedi Madani, S.: The regularity of binomial edge ideals of graphs. arXiv:1310.6126v2 (submitted)
    • Matsuda, K., Murai, S.: Regularity bounds for binomial edge ideals. J. Commut. Algebra 5(1), 141–149 (2013)
    • Mohammadi, F., Sharifan, L.: Hilbert function of binomial edge ideals. Commun. Algebra 42(2), 688–703 (2014)
    • Ohtani, M.: Graphs and ideals generated by some 2-minors. Commun. Algebra 39, 905–917 (2011)
    • Roth, M., Van Tuyl, A.: On the linear strand of an edge ideal. Commun. Algebra 35, 821–832 (2007)
    • Saeedi Madani, S., Kiani, D.: Binomial edge ideals of graphs. Electro. J. Comb. 19(2), P44 (2012)
    • Saeedi Madani, S., Kiani, D.: On the binomial edge ideal of a pair of graphs. Electro. J. Comb. 20(1), P48 (2013)
    • Schenzel, P., Zafar, S.: Algebraic properties of the binomial edge ideal of a complete bipartite graph. An. St. Univ. Ovidius Constanta. Ser....
    • Zahid, Z., Zafar, S.: On the Betti numbers of some classes of binomial edge ideals. Electro. J. Comb. 20(4), P37 (2013)
    • Zafar, S.: On approximately Cohen–Macaulay binomial edge ideal. Bull. Math. Soc. Sci. Math. Roum. 55(103), 429–442 (2012)

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