| Facets of Combinatorial Optimization: Festschrift for Martin Grötschel 2013 Edition Contributor(s): Jünger, Michael (Editor), Reinelt, Gerhard (Editor) |
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ISBN: 364238188X ISBN-13: 9783642381881 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: July 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Computers | Programming - Algorithms - Computers | Data Processing |
| Dewey: 003.3 |
| Physical Information: 1.31" H x 6.27" W x 9.49" (1.90 lbs) 506 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Martin Gr tschel is one of the most influential mathematicians of our time. He has received numerous honors and holds a number of key positions in the international mathematical community. He celebrated his 65th birthday on September 10, 2013. Martin Gr tschel's doctoral descendant tree 1983-2012, i.e., the first 30 years, features 39 children, 74 grandchildren, 24 great-grandchildren and 2 great-great-grandchildren, a total of 139 doctoral descendants. This book starts with a personal tribute to Martin Gr tschel by the editors (Part I), a contribution by his very special "predecessor" Manfred Padberg on "Facets and Rank of Integer Polyhedra" (Part II), and the doctoral descendant tree 1983-2012 (Part III). The core of this book (Part IV) contains 16 contributions, each of which is coauthored by at least one doctoral descendant. The sequence of the articles starts with contributions to the theory of mathematical optimization, including polyhedral combinatorics, extended formulations, mixed-integer convex optimization, super classes of perfect graphs, efficient algorithms for subtree-telecenters, junctions in acyclic graphs and preemptive restricted strip covering, as well as efficient approximation of non-preemptive restricted strip covering. Combinations of new theoretical insights with algorithms and experiments deal with network design problems, combinatorial optimization problems with submodular objective functions and more general mixed-integer nonlinear optimization problems. Applications include VLSI layout design, systems biology, wireless network design, mean-risk optimization and gas network optimization. Computational studies include a semidefinite branch and cut approach for the max k-cut problem, mixed-integer nonlinear optimal control, and mixed-integer linear optimization for scheduling and routing of fly-in safari planes. The two closing articles are devoted to computational advances in general mixed integer linear optimization, the first by scientists working in industry, the second by scientists working in academia. These articles reflect the "scientific facets" of Martin Gr tschel who has set standards in theory, computation and applications. |