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Tuples of homological invariants of edge ideals
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math.ACmath.CO
keywords
edgetuplescompletelydepthdeterminefixedgraphgraphs
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abstract
Let $G$ be a graph and $I(G)$ its edge ideal. In this paper, we completely determine the tuples $(\dim R/I(G), \depth (R/I(G)), \reg (R/I(G)))$ when the number of vertices is fixed for any graphs $G$.
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