{"product_id":"approximation-algorithms-9783540653677","title":"Approximation Algorithms","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003e\u003cstrong\u003eApproximation Algorithms\u003c\/strong\u003e by Vazirani, Vijay V.. hardcover edition. ISBN: 9783540653677.\u003c\/p\u003e\n\u003cp\u003eMost natural optimization problems, including those arising in important application areas, are NP-hard. Therefore, under the widely believed conjecture that P≠NP, their exact solution is prohibitively time consuming. Charting the landscape of approximability of these problems, via polynomial-time algorithms, therefore becomes a compelling subject of scientific inquiry in computer science and mathematics. This book presents the theory of approximation algorithms.\nThis book is divided into three parts. Part I covers combinatorial algorithms for a number of important problems, using a wide variety of algorithm design techniques. Part II presents linear programming based algorithms. These are categorized under two fundamental techniques: rounding and the primal-dual schema. Part III covers four important topics: the first is the problem of finding a shortest vector in a lattice; the second is the approximability of counting, as opposed to optimization, problems; the third topic is centered around recent breakthrough results, establishing hardness of approximation for many key problems, and giving new legitimacy to approximation algorithms as a deep theory; and the fourth topic consists of the numerous open problems of this young field.\nThis book is suitable for use in advanced undergraduate and graduate-level courses on approximation algorithms. An undergraduate course in algorithms and the theory of NP-completeness should suffice as a prerequisite for most of the chapters. This book can also be used as supplementary text in basic undergraduate and graduate algorithms courses.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":44945773920309,"sku":"ByrdShop_3540653678","price":53.48,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9783540653677_818e7fe9-4cb3-4309-adf3-1173ca4af2a0.jpg?v=1778661618","url":"https:\/\/atxbooks.com\/products\/approximation-algorithms-9783540653677","provider":"ATX Books","version":"1.0","type":"link"}