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Given a vector $\\mathfrak{c}\\in\\mathbb{Z}_{>0}^n$, the ideal $I_{\\mathfrak{c}}$ is the ideal generated by those monomials belonging to $I$ whose exponent vectors are componentwise bounded above by $\\mathfrak{c}$. Let $\\delta_{\\mathfrak{c}}(I)$ be the largest integer $q$ for which $(I^q)_{\\mathfrak{c}}\\neq 0$. Let $I(G) \\subset S$ denote the edge ideal of a finite graph $G$ on the vertex set $V(G) = \\{x_1, \\ldots, x_s\\}$. 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Given a vector $\\mathfrak{c}\\in\\mathbb{Z}_{>0}^n$, the ideal $I_{\\mathfrak{c}}$ is the ideal generated by those monomials belonging to $I$ whose exponent vectors are componentwise bounded above by $\\mathfrak{c}$. Let $\\delta_{\\mathfrak{c}}(I)$ be the largest integer $q$ for which $(I^q)_{\\mathfrak{c}}\\neq 0$. Let $I(G) \\subset S$ denote the edge ideal of a finite graph $G$ on the vertex set $V(G) = \\{x_1, \\ldots, x_s\\}$. 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