This self-contained book presents theoretical results and current applications of structural network analysis to synthetic and real-world networks. The individual chapters are a careful balance of classical and novel approaches, ranging in scope from determining the structural information of networks, partitions, and distances in graphs to applying structural graph analysis to biological networks. A major goal of the book is to highlight the need for theoretical and applied results to enhance knowledge and understanding of networks, in general, and to solve challenging practical problems. Another major theme of the work is to show that very large and complex data sets – for example, in biology or chemistry – require novel approaches to take into account the size and complexity of such networks under investigation. Unique in the literature: no existing book surveys such a broad range of mathematical methods for structurally analyzing networks Each chapter is written comprehensively, focusing not only on the presentation of a method or an algorithm, but also providing additional background information on graph theory, computer science, machine learning,statistics, or biology INDICE: From the contents A Brief Introduction to Complex Networks and Their Analysis.- Partitions of Graphs.- Distance in Graphs.- Domination in Graphs.- Spectrum and Entropy for Infinite Directed Graphs.- Application of InfiniteLabeled Graphs to Symbolic Dynamical Systems.- Decompositions and Factorizations of Complete Graphs.- Geodetic Sets in Graphs.- Graph Polynomials and TheirApplications I: The Tutte Polynomial.- Graph Polynomials and Their Applications II: Interrelations and Interpretations.- Reconstruction Problems for Graphs, Krawtchouk Polynomials and Diophantine Equations.- Subgraphs as a Measure ofSimilarity.- A Chromatic Metric on Graphs.- A Unified Spiral-Chain Coloring Algorithm for Planar Graphs.- Some Applications of Eigenvalues of Graphs.- Minimum Spanning Markovian Trees: Introducing Context-Sensitivity into the Generation of Spanning Trees.- Link-Based Network Mining.- Graph Representations and Algorithms in Computational Biology of RNA Secondary Structure.
- ISBN: 978-0-8176-4788-9
- Editorial: Birkhaüser
- Encuadernacion: Cartoné
- Páginas: 505
- Fecha Publicación: 01/08/2009
- Nº Volúmenes: 1
- Idioma: Inglés