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#### Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler's Conjecture

World Scientific Publishing Company 2001; US$ 100.00The dense packing of microscopic spheres (i.e. atoms) is the basic geometric arrangement in crystals of mono-atomic elements with weak covalent bonds, which achieves the optimal "known density" of p/√18. In 1611, Johannes Kepler had already "conjectured" that p/√18 should be the optimal "density" of sphere packings. Thus, the central problems... more...

#### Graph Separators, with Applications

Springer US 2006; US$ 159.00Graph Separators with Applications is devoted to techniques for obtaining upper and lower bounds on the sizes of graph separators - upper bounds being obtained via decomposition algorithms. The book surveys the main approaches to obtaining good graph separations, while the main focus of the book is on techniques for deriving lower bounds... more...

#### Random Graphs for Statistical Pattern Recognition

Wiley 2005; US$ 160.00A timely convergence of two widely used disciplines Random Graphs for Statistical Pattern Recognition is the first book to address the topic of random graphs as it applies to statistical pattern recognition. Both topics are of vital interest to researchers in various mathematical and statistical fields and have never before been treated together... more...

#### Shortest Connectivity

Springer US 2006; US$ 169.00The aim in this graduate level text is to outline the key mathematical concepts that underpin these important questions in applied mathematics. These concepts involve discrete mathematics (particularly graph theory), optimization, computer science, and several ideas in biology. more...

#### Chromatic Polynomials And Chromaticity Of Graphs

World Scientific Publishing Company 2005; US$ 73.00This is the first book to comprehensively cover chromatic polynomials of graphs. It includes most of the known results and unsolved problems in the area of chromatic polynomials. Dividing the book into three main parts, the authors take readers from the rudiments of chromatic polynomials to more complex topics: the chromatic equivalence classes of... more...

#### Finite Packing and Covering

Cambridge University Press 2004; US$ 108.00This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies. more...

#### Combinatorics of Symmetric Designs

Cambridge University Press 2006; US$ 192.00A unified and comprehensive exposition of the theory of symmetric designs with emphasis on recent developments. more...

#### The Pursuit of Perfect Packing

CRC Press 2000; US$ 44.95In 1998 Thomas Hales dramatically announced the solution of a problem that has long teased eminent mathematicians: what is the densest possible arrangement of identical spheres? The Pursuit of Perfect Packing recounts the story of this problem and many others that have to do with packing things together. The examples are taken from mathematics, physics,... more...

#### Submodular Functions and Optimization

Elsevier Science 2005; US$ 146.00It has widely been recognized that submodular functions play essential roles in efficiently solvable combinatorial optimization problems. Since the publication of the 1st edition of this book fifteen years ago, submodular functions have been showing further increasing importance in optimization, combinatorics, discrete mathematics, algorithmic computer... more...

#### The Construction of Optimal Stated Choice Experiments

Wiley 2007; US$ 134.00The most comprehensive and applied discussion of stated choice experiment constructions available The Construction of Optimal Stated Choice Experiments provides an accessible introduction to the construction methods needed to create the best possible designs for use in modeling decision-making. Many aspects of the design of a generic stated choice... more...