Book description
Mathematical problems such as graph theory problems are of increasing importance for the analysis of modelling data in biomedical research such as in systems biology, neuronal network modelling etc. This book follows a new approach of including graph theory from a mathematical perspective with specific applications of graph theory in biomedical and computational sciences. The book is written by renowned experts in the field and offers valuable background information for a wide audience.
Table of contents
- Cover Page
- Title Page
- Copyright
- Contents
- Preface
- List of Contributors
- 1: Entropy, Orbits, and Spectra of Graphs
- 2: Statistical Mechanics of Complex Networks
- 3: A Simple Integrated Approach to Network Complexity and Node Centrality
- 4: Spectral Theory of Networks: From Biomolecular to Ecological Systems
- 5: On the Structure of Neutral Networks of RNA Pseudoknot Structures
- 6: Graph Edit Distance – Optimal and Suboptimal Algorithms with Applications
- 7: Graph Energy
- 8: Generalized Shortest Path Trees: A Novel Graph Class by Example of Semiotic Networks
-
9: Applications of Graph Theory in Chemo- and Bioinformatics
- 9.1 Introduction
- 9.2 Molecular Graphs
- 9.3 Common Problems with Molecular Graphs
- 9.4 Comparisons and 3D Alignment of Protein Structures
- 9.5 Identification of Macromolecular Assemblies in Crystal Packing
- 9.6 Chemical Graph Formats
- 9.7 Chemical Software Packages
- 9.8 Chemical Databases and Resources
- 9.9 Subgraph Isomorphism Solution in SQL
- 9.10 Cycles in Graphs
- 9.11 Aromatic Properties
- 9.12 Planar Subgraphs
- 9.13 Conclusion
- 10: Structural and Functional Dynamics in Cortical and Neuronal Networks
- 11: Network Mapping of Metabolic Pathways
- 12: Graph Structure Analysis and Computational Tractability of Scheduling Problems
- 13: Complexity of Phylogenetic Networks: Counting Cubes in Median Graphs and Related Problems
- 14: Elementary Elliptic (R, q)-Polycycles
- 15: Optimal Dynamic Flows in Networks and Algorithms for Finding Them
- 16: Analyzing and Modeling European R&D Collaborations: Challenges and Opportunities from a Large Social Network
- 17: Analytic Combinatorics on Random Graphs
- Index
Product information
- Title: Analysis of Complex Networks
- Author(s):
- Release date: August 2009
- Publisher(s): Wiley-Blackwell
- ISBN: 9783527323456
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