AIMS Mathematics, 2019, 4(3): 686-698. doi: 10.3934/math.2019.3.686.

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

Zahid Iqbal, Muhammad Ishaq

School of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad, Pakistan

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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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Keywords:  depth; Stanley depth; dimension; monomial ideal; line graph

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

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