On the regularity of join-meet ideals of modular lattices

Regularity of the edge ideals of perfect [ν,h]-ary trees and some unicyclic graphs

“…It is quite difficult to find regularity in general by computing graded Betti numbers. For a detailed study on the regularity of monomial ideals and some interesting results we refer the readers to [2] , [3] , [4] , [5] , [6] , [7] , [8] , [9] , [10] , [11] . Let be a finite simple graph, with vertex set and edge set .…”