Minimal cellular resolutions of the edge ideals of forests
The authors consider edge ideals of forests and give an explicit construction of a cellular resolution that is minimal. Their minimal resolution is based on the Lyubeznik resolution and on the discrete Morse theory. They present a procedure for selecting the admissible symbols which generate the free modules of the resolution. In the end of the paper, they compute the graded Betti numbers and the projective dimension.
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