Graded Betti numbers of path ideals of cycles and lines
classification
🧮 math.AC
keywords
idealspathbetticyclesgivegradedgraphsline
read the original abstract
We use purely combinatorial arguments to give a formula to compute all graded Betti numbers of path ideals of line graphs and cycles. As a consequence we can give new and short proofs for the known formulas of regularity and projective dimensions of path ideals of line graphs.
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