The regularity of some families of circulant graphs
arXiv:1906.06259 · doi:10.3390/math7070657
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.
13 pages; comments welcomed