The Regularity of Some Families of Circulant Graphs Academic Article uri icon

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abstract

  • We compute the Castelnuovo–Mumford regularity of the edge ideals of two families of circulant graphs, which includes all cubic circulant graphs. A feature of our approach is to combine bounds on the regularity, the projective dimension, and the reduced Euler characteristic to derive an exact value for the regularity.

publication date

  • July 1, 2019