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arXiv · 1506.01483

Associated primes of powers of edge ideals and ear decompositions of graphs

Ha Minh Lam·Ngo Viet Trung
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Abstract

In this paper, we give a complete description of the associated primes of every power of the edge ideal in terms of generalized ear decompositions of the graph. This result establishes a surprising relationship between two seemingly unrelated notions of Commutative Algebra and Combinatorics. It covers all previous major results in this topic and has several interesting consequences.

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Ha Minh Lam, Ngo Viet Trung. 2018-07-17. Associated primes of powers of edge ideals and ear decompositions of graphs. https://doi.org/10.1090/tran%2F7662

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