# Property {A} and duality in linear programming

@inproceedings{Bell2021PropertyA, title={Property \{A\} and duality in linear programming}, author={G. Bell and A. Nag'orko}, year={2021} }

Property A is a form of weak amenability for groups and metric spaces introduced as an approach to the famous Novikov higher signature conjecture, one of the most important unsolved problems in topology. We show that property A can be reduced to a sequence of linear programming optimization problems on finite graphs. We explore the dual problems, which turn out to have interesting interpretations as combinatorial problems concerning the maximum total supply of flows on a network. Using… Expand

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