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- W2607038369 abstract "A very well-covered graph is an unmixed graph whose covering number is half of the number of vertices. We construct an explicit minimal free resolution of the cover ideal of a Cohen–Macaulay very well-covered graph. Using this resolution, we characterize the projective dimension of the edge ideal of a very well-covered graph in terms of a pairwise $3$ -disjoint set of complete bipartite subgraphs of the graph. We also show nondecreasing property of the projective dimension of symbolic powers of the edge ideal of a very well-covered graph with respect to the exponents." @default.
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- W2607038369 date "2017-04-12" @default.
- W2607038369 modified "2023-09-27" @default.
- W2607038369 title "THE PROJECTIVE DIMENSION OF THE EDGE IDEAL OF A VERY WELL-COVERED GRAPH" @default.
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- W2607038369 doi "https://doi.org/10.1017/nmj.2017.7" @default.
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