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#### Spanning Tree Results for Graphs and Multigraphs

World Scientific Publishing Company 2014; US$ 68.00 US$ 61.88This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning... more...

#### Graphical Enumeration

Elsevier Science 2014; US$ 72.95Graphical Enumeration deals with the enumeration of various kinds of graphs. Topics covered range from labeled enumeration and George PĆ³lya's theorem to rooted and unrooted trees, graphs and digraphs, and power group enumeration. Superposition, blocks, and asymptotics are also discussed. A number of unsolved enumeration problems are presented. Comprised... more...

#### Systems Dependability Assessment

Wiley 2015; US$ 78.00 US$ 67.60Presents recent developments of probabilistic assessment of systems dependability based on stochastic models, including graph theory, finite state automaton and language theory, for both dynamic and hybrid contexts. more...

#### Zero-Symmetric Graphs

Elsevier Science 2014; US$ 31.95Zero-Symmetric Graphs: Trivalent Graphical Regular Representations of Groups describes the zero-symmetric graphs with not more than 120 vertices.The graphs considered in this text are finite, connected, vertex-transitive and trivalent. This book is organized into three parts encompassing 25 chapters. The first part reviews the different classes of... more...

#### Graph Theory and Computing

Elsevier Science 2014; US$ 72.95Graph Theory and Computing focuses on the processes, methodologies, problems, and approaches involved in graph theory and computer science. The book first elaborates on alternating chain methods, average height of planted plane trees, and numbering of a graph. Discussions focus on numbered graphs and difference sets, Euclidean models and complete... more...

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

World Scientific Publishing Company 2001; US$ 100.00 US$ 91.00The 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$ 134.34Graph 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$ 160.00 US$ 138.67A 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$ 134.34The 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$ 73.00 US$ 66.43This 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...