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Counting Integer flows in Networks by Baldoni-Silva, W.; De Loera, J. A.; Vergne, M. is a scholarly article available to read on EtoBox.

What is Counting Integer flows in Networks about?

This paper discusses new analytic algorithms and software for the enumeration of all integer flows inside a network. Concrete applications abound in graph theory \cite{Jaeger}, representation theory \cite{kirillov}, and statistics \cite{persi}. Our methods clearly surpass traditional exhaustive enumeration and other algorithms and can even yield formulas when the input data contains some parameters. These methods are based on the study of rational functions with poles on arrangements of hyperplanes.

Author

Baldoni-Silva, W.; De Loera, J. A.; Vergne, M.

Published

2003

Language

EN