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In this paper, we introduce the unbalanced crown graphs $${\mathcal {C}}_{m,n}$$ , and compute all graded Betti numbers of edge ideals of these graphs in terms of associated numerical data.… Click to show full abstract
In this paper, we introduce the unbalanced crown graphs $${\mathcal {C}}_{m,n}$$ , and compute all graded Betti numbers of edge ideals of these graphs in terms of associated numerical data. As a consequence, we determine the regularity and the projective dimension of edge ideals of these graphs. Also, the Hilbert series of the cover ideals of these graphs is obtained.
Keywords:
edge ideals;
crown graphs;
algebraic properties;
unbalanced crown;
ideals graphs;
cover ideals
Journal Title: Bulletin of The Iranian Mathematical Society
Year Published: 2021
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Journal Title: Bulletin of The Iranian Mathematical Society
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!