Abstract
In this article, we shall investigate the numerical invariants encoded in the minimal graded free resolution of edge ideal of k-partite n-crown graph(or multipartite crown graph) We deduce the structure of minimal graded free resolution and obtain the lower bounds on graded Betti numbers of edge ideal In particular, we obtain the graded Betti numbers of edge ideal of already studied, and the initial graded Betti numbers Also, the extremal graded Betti number projective dimension and Castelnuovo–Mumford regularity of these ideals are obtained.
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