Data Correcting Algorithms in Combinatorial Optimization -- The Steiner Ratio of Banach-Minkowski spaces - A Survey -- Probabilistic Verification and Non-Approximability -- Steiner Trees in Industry -- Network-based Models and Algorithms in Data Mining and Knowledge Discovery -- The Generalized Assignment Problem and Extensions -- Optimal Rectangular Partitions -- Connected Dominating Set in Sensor Networks and MANETs.This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set, as well as the Supplement Volume A. It can also be regarded as a stand-alone volume which presents chapters dealing with various aspects of the subject, including optimization problems and algorithmic approaches for discrete problems. Audience This handbook is suitable for all those who use combinatorial optimization methods to model and solve problems.