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- W2036636716 abstract "Let G be a graph and let I be its edge ideal. Our main result shows that the sets of associated primes of the powers of I form an ascending chain. It is known that the sets of associated primes of I(i) and intcl(I(i)) stabilize for large i, where intcl denotes integral closure and I(i) denotes the i-th power of I. We show that for edge ideals their corresponding stable sets are equal. To show our main result we use a classical result of Berge from matching theory and certain notions from combinatorial optimization." @default.
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- W2036636716 date "2011-03-04" @default.
- W2036636716 modified "2023-09-27" @default.
- W2036636716 title "Associated primes of powers of edge ideals" @default.
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