The regularity of some families of circulant graphs
classification
🧮 math.AC
math.CO
keywords
regularitycirculantgraphsfamiliesapproachboundscastelnuovo-mumfordcharacteristic
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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.
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