| Abstrakt: |
This article studies a new class of monomial ideals associated with a simple graph , called generalized edge ideal, denoted by (). Assuming that all the vertices have an exponent greater than 1 in (), we completely characterize the graph for which () is integrally closed, and show that this is equivalent to () being normal i.e., all integral powers of () are integrally clased. We also give a necessary and sufficient condition for I g G = I g G ¯ when is the star-shaped graph. Finally, we give a necessary and sufficient condition when the generalized edge ideal of a complete graph is integrally closed. [ABSTRACT FROM AUTHOR] |
