Research article

Depth and Stanley depth of edge ideals associated to some line graphs

  • Received: 21 January 2019 Accepted: 20 May 2019 Published: 19 June 2019
  • MSC : 13C15, 13P10, 13F20, 05E99

  • In this paper, we compute some upper and lower bounds for depth and Stanley depth of edge ideals associated to line graphs of the ladder and circular ladder graphs. Furthermore, we determine some bounds for the dimension of the quotient rings of the edge ideals associated to these graphs.

    Citation: Zahid Iqbal, Muhammad Ishaq. Depth and Stanley depth of edge ideals associated to some line graphs[J]. AIMS Mathematics, 2019, 4(3): 686-698. doi: 10.3934/math.2019.3.686

    Related Papers:

  • In this paper, we compute some upper and lower bounds for depth and Stanley depth of edge ideals associated to line graphs of the ladder and circular ladder graphs. Furthermore, we determine some bounds for the dimension of the quotient rings of the edge ideals associated to these graphs.


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  • © 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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