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Cohen–Macaulay Types of Certain Edge Subrings of Bipartite Graphs and (Generalized) Fuss–Catalan Numbers

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Abstract

We give an example of two non isomorphic coordinate rings of a special kind of convex polyominoes whose Cohen–Macaulay types are generalized Fuss–Catalan numbers. We further provide a determinantal formula for these numbers.

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Acknowledgements

The author would like to thank the anonymous referee for her/his valuable suggestions.

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Correspondence to Alin Ştefan.

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Ştefan, A. Cohen–Macaulay Types of Certain Edge Subrings of Bipartite Graphs and (Generalized) Fuss–Catalan Numbers. Vietnam J. Math. (2023). https://doi.org/10.1007/s10013-023-00645-z

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