The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles

Author:

Barile Margherita1,Macchia Antonio2

Affiliation:

1. Dipartimento di Matematica, Università degli Studi di Bari “Aldo Moro”, Via Orabona 4, 70125 Bari, Italy

2. Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein-Strasse 6, 35032 Marburg, Germany

Abstract

We prove that, for the edge ideal of a graph whose cycles are pairwise vertex-disjoint, the arithmetical rank is bounded above by the sum of the number of cycles and the maximum height of its associated primes.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

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