The Strengthened Hanna Neumann Conjecture I: A Combinatorial Proof

Details The Strengthened Hanna Neumann Conjecture I: A Combinatorial Proof The Strengthened Hanna Neumann Conjecture I: A Combinatorial Proof

2010-03-30

arxiv.org/abs/1003.5739v4

Mathematics

Combinatorics

This has been withdrawn due to an error

Scientific paper

We prove the Strengthened Hanna Neumann Conjecture, in its common graph theoretic formulation. Our original approach to this conjecture used cohomology of sheaves on graphs, although here we give a short combinatorial proof that we found in a succession of simplifications of the cohomological approach. Our proof is inductive, and requires Tardos' previous result settling the rank two case of the conjecture.

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