This focuses on understanding the main concepts and algorithms related to the structure and dynamics of and on complex networks. Consequences, applications and limitations as well as related analytic and numerical techniques are discussed through real life examples and projects.
Topics covered:
- Introduction, Graph theory (Ch. 1)
- Stochastic Block Model
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Spreading Phenomena, Contact Process (Ch. 10)
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Network Visualization, Cytoscape, Gephi
- Network Controllability
- Maximum Entropy Models
- Link prediction and inference in complex networks
- Network Neuroscience
- Disordered Systems: Harris criteria, Sinai walk, SDRG, Griffiths effects, Magnetic models
- Hypergraphs and Simplicial complexes
- Dynamical and Multiplex/Multilayer Networks
- Quantum Networks
The online textbook:
http://networksciencebook.com/
Highlights of Student Projects:
Parth Bhatnagar: Quantum communication networks
Jose Miguel Cordova Sanchez: Learning in Networks
Elizabeth Duvall: Chicago transportation network
Seoul Lee: Open-source software network
Elisheva Siegfried: Partisanship in the Senate
Tingyu “Mark” Zhao: Tokyo Subway Network Failure Analysis
Cong Shen: Author network of top-cited HEP-th papers
Ahmed Alrabiah: Interdisciplinarity and success in science
Diya Basrai: Functional connectivity between premotor and motor cortex
Danyang Chen: Leviathan: An Agent-based Model of Primitive Society
Saanika Choudhary: Network analysis of a galaxy distributions
Samira Khan: Analysis of fracture networks in hydrogels
Eliseu Antonio Kloster Filho: A Network Science Approach to the World of Painters
Yiying (Grace) Liu: Networks of superconducting transmon qubit system
Shankhadeep Man: Networks in micro-roller motion
Highlights of Student Assignments:
Parth Bhatnagar: Network Properties of the Quantum Internet
Jose Miguel Cordova Sanchez: Measures for Complex Contagions
Elizabeth Duvall: From networks to the adjacency matrix and back
Seoul Lee: Small-world networks
Elisheva Siegfried: The Knight’s Tour — Warnsdorff’s Rule
Tingyu “Mark” Zhao: Speed of Epidemics Spreading in Networks
Cong Shen: Network Concepts in Feynman Diagrams
Ahmed Alrabiah: Quantum random circuits
Diya Basrai: Neural population geometry
Danyang Chen: Diagrammatic representation of the perturbation theory for multi-mode systems
Saanika Choudhary: Sinai walk: random walk in random environment
Samira Khan: Topological Chaos in Complex Network
Eliseu Antonio Kloster Filho: Network motifs
Yiying (Grace) Liu: Quantum Walks: Quantum mechanics in Networks
Shankhadeep Man: Graphlets