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

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書(shū)目名稱Discrete Geometry and Optimization影響因子(影響力)




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書(shū)目名稱Discrete Geometry and Optimization網(wǎng)絡(luò)公開(kāi)度學(xué)科排名




書(shū)目名稱Discrete Geometry and Optimization被引頻次




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碳水化合物

Engineering Branch-and-Cut Algorithms for the Equicut Problem,dges joining nodes in different partitions is minimum. We compare basic linear and semidefinite relaxations for the equicut problem, and find that linear bounds are competitive with the corresponding semidefinite ones but can be computed much faster. Motivated by an application of equicut in theoret

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Monotone Paths in Planar Convex Subdivisions and Polytopes,there is a path with at least . edges that is monotone in some direction. This bound is the best possible. Consider now a connected subdivision of the plane into . convex faces where exactly . faces are unbounded. Then, there is a path with at least . edges that is monotone in some direction. This b

商店街

商店街

,The Strong Dodecahedral Conjecture and Fejes Tóth’s Conjecture on Sphere Packings with Kissing Numbthe surface area of every bounded Voronoi cell in a packing of balls of radius 1 is at least that of a regular dodecahedron of inradius 1. The second theorem is L. Fejes Tóth’s conjecture on sphere packings with kissing number twelve, which asserts that in 3-space, any packing of congruent balls suc

修飾語(yǔ)

Solving Nuclear Norm Regularized and Semidefinite Matrix Least Squares Problems with Linear Equalitty constraints. For the inner subproblems, we show that the positive definiteness of the generalized Hessian of the objective function for the inner subproblems is equivalent to the constraint nondegeneracy of the corresponding primal problem, which is a key property for applying a semismooth Newton

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Techniques for Submodular Maximization,f a clean and stylized problem, amenable to mathematical analysis, while on the other hand, it comfortably contains several rather different problems which are independently of interest from both theoretical and applied points of view. There have been successful analyses from the point of view of th

顛簸下上

,A Further Generalization of the Colourful Carathéodory Theorem,rful Carathéodory theorem asserts that if the origin . is contained in the convex hull of .. for ., then there exists a colourful simplex containing .. The sufficient condition for the existence of a colourful simplex containing . was generalized to . being contained in the convex hull of . for 1≤.<