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

World Scientific Publishing Company 2001; US$ 163.00The 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...

#### Handbook of Graph Theory

Taylor and Francis 2003; US$ 159.95The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approaches... more...

#### Spanning Trees and Optimization Problems

Taylor and Francis 2004; US$ 115.95The design of approximation algorithms for spanning tree problems has become an exciting and important area of theoretical computer science and also plays a significant role in emerging fields such as biological sequence alignments and evolutionary tree construction. While work in this field remains quite active, the time has come to collect under... 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...

#### Chromatic Polynomials And Chromaticity Of Graphs

World Scientific Publishing Company 2005; US$ 220.00This 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...

#### The Pursuit of Perfect Packing

Taylor and Francis 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...

#### 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...

#### 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...

#### Algorithmic Graph Theory and Perfect Graphs

Elsevier Science 2004; US$ 106.00Algorithmic Graph Theory and Perfect Graphs, first published in 1980, has become the classic introduction to the field. This new Annals edition continues to convey the message that intersection graph models are a necessary and important tool for solving real-world problems. It remains a stepping stone from which the reader may embark on one of many... more...

#### Graphs of Groups on Surfaces

Elsevier Science 2001; US$ 235.00The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces. Automorphism groups of both graphs and maps are studied. In addition connections are made to other areas of mathematics,... more...