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arxiv: 0901.3015 · v1 · submitted 2009-01-20 · 🧮 math.AC · math.CO

Resolution of Unmixed Bipartite Graphs

classification 🧮 math.AC math.CO
keywords bipartitelatticeunmixedbetti-numberscomputeconsidercoversdepth
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For an unmixed bipartite graph $G$ we consider the lattice of vertex covers $\mathcal{L}_G$ and compute depth, projective dimension and extremal Betti-numbers of $R/I(G)$ in terms of this lattice.

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