{"product_id":"facets-of-combinatorial-optimization-festschrift-for-martin-grotschel-9783642381881","title":"Facets of Combinatorial Optimization: Festschrift for Martin Grötschel","description":"\u003cp\u003e • Author(s): Michael Jünger\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Applied\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eMartin Grötschel 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 Grötschel'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. \u003c\/p\u003e\u003cp\u003eThis book starts with a personal tribute to Martin Grötschel 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. \u003c\/p\u003e\u003cp\u003eThe sequence of the articles starts with contributions to the theory of mathematical optimization, including polyhedral combinatorics, extended formulations, mixed-integer convex optimization, superclasses 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. \u003c\/p\u003e\u003cp\u003eCombinations 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. \u003c\/p\u003e\u003cp\u003eComputational 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. \u003c\/p\u003e\u003cp\u003eThe 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. \u003c\/p\u003e \u003cp\u003eThese articles reflect the \"scientific facets\" of Martin Grötschel who has set standards in theory, computation, and applications.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45274704052375,"sku":"9783642381881","price":7345.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783642381881.webp?v=1769280711","url":"https:\/\/atlanticbooks.com\/products\/facets-of-combinatorial-optimization-festschrift-for-martin-grotschel-9783642381881","provider":"Atlantic Books","version":"1.0","type":"link"}