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Cohen Macaulay Bipartite Graphs and Regular Element on the Powers of Bipartite Edge Ideals

Author

Listed:
  • Arindam Banerjee

    (Ramakrishna Mission Vivekananda Educational and Research Institute, Belur, West Bengal 711202, India)

  • Vivek Mukundan

    (Department of Mathematics, University of Virginia, Charlottesville, VA 22902, USA)

Abstract

In this article, we discuss new characterizations of Cohen-Macaulay bipartite edge ideals. For arbitrary bipartite edge ideals I ( G ) , we also discuss methods to recognize regular elements on I ( G ) s for all s ≥ 1 in terms of the combinatorics of the graph G .

Suggested Citation

  • Arindam Banerjee & Vivek Mukundan, 2019. "Cohen Macaulay Bipartite Graphs and Regular Element on the Powers of Bipartite Edge Ideals," Mathematics, MDPI, vol. 7(8), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:762-:d:259231
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