Book:Claude Berge/Programming, Games and Transportation Networks

Subject Matter

 * Topology
 * Game Theory
 * Graph Theory

Contents

 * Preface


 * Translator's Note


 * (by )


 * 1. Preliminary ideas: sets, vector spaces


 * 2. Preliminary ideas: topological properties of the space $\R^n$


 * 3. Properties of complex sets and functions in the space $\R^n$


 * 4. Programming and associated problems


 * 5. Convex programmes with linear constraints


 * 6. Games of strategy


 * Bibliography to Part I


 * (by )


 * 7. Cycles and coboundaries of a graph


 * 8. General study of flows and potential differences


 * 9. Flow algorithms


 * 10. Problems related to the transportation problem


 * Exercises


 * Bibliography to Part II


 * Index