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Lower bounds for the depth of the second power of edge ideals

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Abstract

Assume that G is a graph with edge ideal I(G). We provide sharp lower bounds for the depth of \(I(G)^2\) in terms of the star packing number of G.

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Acknowledgements

The author is grateful to the referee for careful reading of the paper and for useful comments.

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Correspondence to S. A. Seyed Fakhari.

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Seyed Fakhari, S.A. Lower bounds for the depth of the second power of edge ideals. Collect. Math. 75, 535–544 (2024). https://doi.org/10.1007/s13348-023-00398-5

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  • DOI: https://doi.org/10.1007/s13348-023-00398-5

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