On Gorenstein circulant graphs

We characterize some graphs with a Gorenstein edge ideal. In particular, we show that if G is a circulant graph with vertex degree at most four or a circulant graph of the form Cn(1, ... , d) for some d <= n/2, then G is Gorenstein if and only if G similar to= tK2 or G similar to= tCn or G similar to= tC13(1, 5) for some integers t and n >= 4.(c) 2023 Elsevier B.V. All rights reserved.