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Cohen Macaulayness and Arithmetical Rank of Generalized Theta Graphs

Author

Listed:
  • Seyyede Masoome Seyyedi

    (Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Ave., P.O. Box 15875-4413, Tehran 1591634311, Iran)

  • Farhad Rahmati

    (Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Ave., P.O. Box 15875-4413, Tehran 1591634311, Iran)

Abstract

In this paper, we study some algebraic invariants of the edge ideal of generalized theta graphs, such as arithmetical rank, big height and height. We give an upper bound for the difference between the arithmetical rank and big height. Moreover, all Cohen-Macaulay (and unmixed) graphs of this type will be characterized.

Suggested Citation

  • Seyyede Masoome Seyyedi & Farhad Rahmati, 2016. "Cohen Macaulayness and Arithmetical Rank of Generalized Theta Graphs," Mathematics, MDPI, vol. 4(3), pages 1-18, June.
    • Handle: RePEc:gam:jmathe:v:4:y:2016:i:3:p:43-:d:72993
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