Some properties of a weighted graph corresponding to a monomial in (It : m2) (It : m)

Abstract

   Let I be edge ideal of a graph Γ. By using the notion of vertex weighted graph and H.M.Lam and N.V. Trung's results on (It : m)It (Transactions of the American Mathematical Society,2018), the author gave some combinatorial properties of a weighted graph Γa corresponding to a monomial xa in (It : m2) (It : m)