Titlebook: Discrete Geometry and Optimization; Karoly Bezdek,Antoine Deza,Yinyu Ye Book 2013 Springer International Publishing Switzerland 2013 Carat

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EL-Labelings and Canonical Spanning Trees for Subword Complexes,d, we show that they provide canonical spanning trees of the facet-ridge graph of the subword complex, describe inductively these trees, and present their close relations to greedy facets. Searching these trees yields an efficient algorithm to generate all facets of the subword complex, which extend

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Conditions for Correct Sensor Network Localization Using SDP Relaxation,ermine the locations of a group of sensors given the distances between some of them. In this paper, we analyze and determine new sufficient conditions and formulations that guarantee that the SDP relaxation is exact, i.e., gives the correct solution. These conditions can be useful for designing sens

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,A Primal–Dual Smooth Perceptron–von Neumann Algorithm, of the perceptron and von Neumann algorithms. Our algorithm retains the simplicity of these algorithms but has a significantly improved convergence rate. Our approach also extends to more general conic systems provided a suitable smoothing oracle is available.

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Book 2013trongly polynomial time algorithm for linear optimization is one of the most important unsolved problems at the beginning of the 21st century. The broad range of topics covered in this volume demonstrates the many recent and fruitful connections between different approaches, and features novel resul

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1069-5265 olved problems at the beginning of the 21st century. The broad range of topics covered in this volume demonstrates the many recent and fruitful connections between different approaches, and features novel resul978-3-319-03312-9978-3-319-00200-2Series ISSN 1069-5265 Series E-ISSN 2194-1564