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Common Properties of Real Networks. Erdős-Rényi Random Graphs.

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Presentation on theme: "Common Properties of Real Networks. Erdős-Rényi Random Graphs."— Presentation transcript:

1 Common Properties of Real Networks

2 Erdős-Rényi Random Graphs

3 Erdős-Rényi Random Graph: Models 1. 2.

4 Erdős-Rényi Random Graph: Degree Distribution

5 Branching Processes

6 Branching Processes: Different Regimes

7 Erdős-Rényi Random Graph: Connected Components 1. 2. 3.

8 Erdős-Rényi Random Graph: Giant Component

9 Erdős-Rényi Random Graph: Connectivity

10 Erdős-Rényi Random Graph: Diameter

11 Erdős-Rényi Random Graph: Maximum Degree

12 Erdős-Rényi Random Graph: Summary

13 Random Graphs with Given Expected Degree Distribution

14 Random Graphs with Given Expected Degrees: Definition

15 Random Graphs with Given Expected Degrees: Definitions

16 Random Graphs with Given Expected Degrees: Diameter

17 Power Law Graphs

18 Random Graphs with Given Expected Degrees (Power-Law Graphs): Summary


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