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arXiv · 1708.07330

On the Stanley depth of edge ideals of k-partite clutters

Luis A. Dupont·Daniel G. Mendoza
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Abstract

We give upper bounds for the Stanley depth of edge ideals of certain k-partite clutters. In particular, we generalize a result of Ishaq about the Stanley depth of the edge ideal of a complete bipartite graph. A result of Pournaki, Seyed Fakhari and Yassemi implies that the Stanley's conjecture holds for d-uniform complete d-partite clutters. Here we give a shorter and different proof of this fact.

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Luis A. Dupont, Daniel G. Mendoza. 2017-08-24. On the Stanley depth of edge ideals of k-partite clutters. https://arxiv.org/abs/1708.07330

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