Submodular Functions and Optimization (Volume 47) (Annals of Discrete Mathematics, Volume 47) - Hardcover

Fujishige, S.

Hardcover

ISBN 10: 0444885560 ISBN 13: 9780444885562

Publisher: North-Holland, 1991

Synopsis

The importance of submodular functions has been widely recognized in recent years in combinatorial optimization. This is the first book devoted to the exposition of the theory of submodular functions from an elementary technical level to an advanced one. A unifying view of the theory is shown by means of base polyhedra and duality for submodular and supermodular systems. Among the subjects treated are: neoflows (submodular flows, independent flows, polymatroidal flows), submodular analysis (submodular programs, duality, Lagrangian functions, principal partitions), nonlinear optimization with submodular constraints (lexicographically optimal bases, fair resource allocation). Special emphasis is placed on the constructive aspects of the theory, which lead to practical, efficient algorithms.

Edition details

• Publisher: North-Holland
• Publication date: 1991
• Language: English
• ISBN 10: 0444885560
• ISBN 13: 9780444885562
• Binding: Hardcover
• Number of pages: 269