Algebraic invariants of edge ideals of some circulant graphs

Abstract

Let $ S $ be a polynomial ring over a field and $ I $ be an edge ideal associated with some classes of circulant graphs. We discussed the algebraic invariants, namely, regularity, projective dimension, depth, and the Stanley depth of $ S/I. $

Keywords

• monomial ideal
• regularity
• projective dimension
• depth
• stanley depth
• circulant graphs