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Lower bounds for the depth of second power of edge ideals

preprint2022arXivOpen access
S. A. Seyed Fakhari
math.COmath.AC
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Abstract

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

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