Matthias Dehmer Abbe Mowshowitz Frank (10 results)

Hardcover. Condition: Very Good. 1st Edition. Hardcover, xiv+293pp, NOT ex-library. Clean and bright throughout, unmarked text, no inscriptions, no stamps, firmly bound. A minor crease to the lower outer corner of last pages. Short creases to board corners. Issued without a dust jacket. -- A well-balanced overview of mathematical approaches to complex systems ranging from applications in chemistry and ecology to basic research questions on network complexity. Well-known pioneers in the field have edited this volume with a view to balancing classical and modern approaches to ensure broad coverage of contemporary research problems. It is a valuable addition to the literature and a must-have for anyone dealing with network complexity and complexity issues. -- Contents: 1 Functional Complexity Based on Topology [Measure for the Functional Complexity of Networks; Applications] 2 Connections Between Artificial Intelligence & Computational Complexity & Complexity of Graphs [Representation & Searching Methods; Turing Machines; Fuzzy Logic & Graphs; Fuzzy Optimization & Systems; Problems Related to AI; Topology of Complex Networks; Hierarchies; Graph Entropy; Kolmogorov Complexity] 3 Selection-Based Estimates of Complexity Unravel Some Mechanisms & Selective Pressures Underlying the Evolution of Complexity in Artificial Networks [Complexity & Evolution; Macroscopic Quantification of Organismal Complexity; Selection-Based Methods of Complexity; Informational Complexity; Fisher Geometric Model; Cost of Complexity; Quantifying Phenotypic Complexity; Darwinian Adaptive Neural Networks DANN; Different Facets of Complexity; Mechanistic Understanding of Phenotypic Complexity; Selective Pressures Acting on Phenotypic Complexity] 4 Three Types of Network Complexity Pyramid [First Type: Life's Complexity Pyramid LCP; Second Type: Network Model Complexity Pyramid; Third Type: Generalized Farey Organized Network Pyramid] 5 Computational Complexity of Graphs [Star Complexity of Graphs; From Graphs to Boolean Functions; Formula Complexity of Graphs; Lower Bounds via Graph Entropy; Depth-2 & Depth-3 Complexity; Network Complexity of Graphs] 6 Linear Complexity of a Graph [Rationale & Approach; Background; Exploration of Irreducible Graphs; Bounds on the Linear Complexity of Graphs; Some Families of Graphs; Bounds for Graphs in General] 7 Kirchhoff's Matrix-Tree Theorem Revisited: Counting Spanning Trees with the Quantum Relative Entropy [Main Result; Bounds] 8 Dimension Measure for Complex Networks [Volume Dimension; Complex Network Zeta Function & Relation to Kolmogorov Complexity; Comparison with Complexity Classes; Node-Based Definition; Linguistic-Analysis Application; Statistical Mechanics Application; Function Values; Other Work on Complexity Measures] 9 Information-Based Complexity of Networks [History & Concept of Information-Based Complexity; Mutual Information; Graph Theory & Graph Theoretic Measures: Cyclomatic Number, Spanning Trees; Erdos-Renyi Random Graphs, Small World Networks, Scale-free Networks; Graph Entropy; Information-Based Complexity of Unweighted, Unlabeled & Undirected Networks; Motif Expansion; Labeled Networks; Weighted Networks; Empirical Results of Real Network Data & Artificially Generated Networks; Extension to Processes on Networks; Transfer Entropy; Medium Articulation] 10 Thermodynamic Depth in Undirected & Directed Networks [Polytopal vs Heat Flow Complexity; Characterization of Polytopal & Flow Complexity; Laplacian of a Directed Graph; Directed Heat Kernels & Heat Flow; Heat Flow-Thermodynamic Depth Complexity; Experimental Results] 11 Circumscribed Complexity in Ecological Networks [New Metaphor; Entropy as a Descriptor of Structure; Addressing Both Topology & Magnitude; Amalgamating Topology with Magnitudes; Effective Network Attributes; Limits to Complexity; Example Ecosystem Network; New Window on Complex Dynamics] 12 Metros as Biological Systems: Complexity in Small Real-life Networks [Methodology; Interpreting Complexity; Network Centrality]; Index.

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Hardcover. Condition: Fine. Quantitative And Network Biology; 9.6 X 6.8 X 0.8 inches; 308 pages; Shrink wrapped. Like New.; - We're committed to your satisfaction. We offer free returns and respond promptly to all inquiries. Your item will be carefully wrapped in bubble wrap and securely boxed. All orders ship on the same or next business day. Buy with confidence.

Condition: New. pp. 308.

Condition: New. pp. 308.

Condition: New. pp. 308.

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