**1 Entropy, Orbits, and Spectra of Graphs**

*Abbe Mowshowitz and Valia Mitsou*

1.2 Entropy or the Information Content of Graphs

1.4.1 The Degree of the Vertices

1.4.2 The Point-Deleted Neighborhood Degree Vector

1.5 Alternative Bases for Structural Complexity

**2 Statistical Mechanics of Complex Networks**

*Stefan Thurner*

2.1.4 Some Definitions of Network Measures

2.2 Macroscopics: Entropies for Networks

2.2.1 A General Set of Network Models Maximizing Generalized Entropies

2.2.1.1 A Unified Network Model

2.2.1.2 Famous Limits of the Unified Model

2.2.1.3 Unified Model: Additional Features

2.3 Microscopics: Hamiltonians of Networks – Network Thermodynamics

2.3.1 Topological Phase Transitions

2.4 Ensembles of Random Networks – Superstatistics

**3 A Simple Integrated Approach to Network Complexity and Node Centrality**

*Danail Bonchev*

3.2 The Small-World Connectivity Descriptors

3.3 The Integrated Centrality Measure

**4 Spectral Theory of Networks: From Biomolecular to Ecological Systems**

*Ernesto Estrada*

4.2 Background on Graph Spectra

4.3 Spectral Measures of Node Centrality

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