Titlebook: Combinatorial Optimization -- Eureka, You Shrink!; Papers Dedicated to Michael Jünger,Gerhard Reinelt,Giovanni Rinaldi Book 2003 Springer-

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Algorithmic Characterization of Bipartite b-Matching and Matroid Intersectionasible solutions. The first digraph gives rise to an algorithmic characterization of bipartite b-matching. The second digraph leads to a polynomial-time augmentation algorithm for the (weighted) matroid intersection problem and to a conjecture about an algorithmic characterization of matroid intersection.

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Reconstructing a Simple Polytope from Its Graph the facets of the dual polytope of .). Thereby, we derive polynomial certificates for both the vertex-facet incidences as well as for the abstract objective functions in terms of the graph of .. The paper is a variation on joint work with Michael Joswig and Friederike K?rner [.].

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An Augment-and-Branch-and-Cut Framework for Mixed 0-1 Programmingn this paper we describe a possible implementation of such a finite ABC algorithm for mixed 0-1 and pure 0-1 programs. The algorithm differs from standard branch-and-cut in several important ways. In particular, the terms ., and . take on new meanings in the primal context.

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E. Fantin Irudaya Raj,M. Balajiand-cut algorithms by Fischetti and Toth [.] and by Applegate, Bixby, Chvátal and Cook [.] are considered and tested on a set of 35 real-world instances including 16 new instances recently presented in [.].

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A Procedure of Facet Composition for the Symmetric Traveling Salesman Polytopeperstar inequalities which are until now only known to be valid, are indeed facets defining inequalities of STSP and this also generalizes ladder inequalities to a larger class. Finally, we describe some new facet defining inequalities obtained by applying the procedure.

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