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An alternative proof of a characterization of Cohen-Macaulay bipartite graphs

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Abstract

Recently, Herzog and Hibi explicitly described all Cohen-Macaulay bipartite graphs by using the Stanley-Reisner ideal of the Alexander dual of the simplicial complex Δ P associated to a finite poset P. In this paper, we will present a short proof that does not use the Stanley-Reisner ideal of the Alexander dual of Δ P .

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References

  1. Herzog, J., Hibi, T.: Distributive lattices, bipartite graphs and Alexander duality. J. Algebraic Comb. 22(3), 289–302 (2005)

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Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University (IAU), Tehran, Iran

    Mohammad Mahmoudi & Amir Mousivand

Authors
  1. Mohammad Mahmoudi
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  2. Amir Mousivand
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Correspondence to Amir Mousivand.

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Communicated by T. Müller.

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Mahmoudi, M., Mousivand, A. An alternative proof of a characterization of Cohen-Macaulay bipartite graphs. Abh. Math. Semin. Univ. Hambg. 80, 145–148 (2010). https://doi.org/10.1007/s12188-009-0032-1

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  • DOI: https://doi.org/10.1007/s12188-009-0032-1

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