Lec. Date |
Topic |
Assigned/Further reading | HWs/Notes |
Apr 3 | Intro to course and to networks; Basic properties and measures. (Lecture 1) | Newman SIAM 1-19, Barabasi book Chap 1 | Review course homepage; References, software, etc. |
Apr 5 | Random graphs, components and phase transitions. (Lecture 2) | Newman SIAM 20-25, Durrett Ch 1 & 2 | HW1, HW1b due April 19 |
Apr 10 | Power laws, Preferential Attachment, and master equations. (Lecture 3) | -BA (1999) Science, Newman 30-35, Durrett Ch 4 | |
Apr 12 | Resilience to node deletion;
degree versus betweenness centrality. (Lecture 4) | -AJB (2000) Nature -Doyle, et al (2005) PNAS | |
Apr 17 | The Internet, Optimization and network growth. (Lecture 5) | -CAIDA movie explaining traceroute
-CISCO explanation of AS numbers
-D'Souza, et al (2007) PNAS
-Gastner and Newman, (2006) Phys Rev E
| HW1a project pitch, due April 20. Assignment posted on Canvas.
|
Apr 19 | Epidemic spreading, SIS/SIR (Lecture 6)
| -ICON, Colorado Index of Complex Networks
-GLEAMviz epidemic modeling
-Percolation theory
-Callaway, etal (2000) Phys Rev Lett -Pastor-Satorras and Vespignani (2001) PRL
-Barabasi book Chap 10 |
HW2, HW2a, HW2b due May 3
(HW1, HW1b due today via canvas) |
Apr 24 | Community structure and modularity
Lecture 7 |
- Wiki page on community structure
- Porter et al AMS 2009 review
- Newman Nature Physics (2012)
- Fortunato Phys Rep (2010)
- Coscia, et al (2011) Stat & Data Mining, (arxiv version) |
|
Apr 26 | Signed, weighted networks Lecture 8 & Software demos: Graphviz, iPython/NetworkX |
- Graphviz tutorial (by K. Burghardt) - NetworkX | |
May 1 | Searching a network:
From the WWW to small worlds (Lecture 9)
|
-Watts and Strogatz (1998) Nature
-Kleinberg (2000) Nature | |
May 3 | Small worlds and other network paradigms (Bipartite, planar, and hyper graphs) (Lecture 10) |
-Adamic et al. (2001) PRE |
HW3, HW3a, HW3b due May 3
(HW2, HW2a, HW2b due via canvas)
|
May 8 |
Flows on spatial networks (Lecture 11) (Gastner.pdf) (Zhang.pdf) |
- worldmapper.org - CPLEX network solver
- The four-step travel forecasting model
- Barthelemy Physics Reports (2011) |
|
May 10 | Selfish agents, Braess's Paradox, Games on networks
(Lecture 12)
(Zhang.pdf)
| - Roughgarden's books
- "Networks, Crowds, and Markets"
- Normal form games
- Vickrey auction
- Yang et al, Science (2017)
- R.D., Science (2017)
| |
May 15 |
Diffusion and Cascades on Networks Generating Functions & Coordination games (Lecture 13) |
- Newman, Watts, Strogatz (2001) Phys Rev E
- Primer on generating functions (MIT OCW)
- Molloy and Reed, RSA (1995)
| (HW3, HW3a, HW3b due) |
May 17 | Diffusion and Cascades on Networks Generating Functions & Coordination games (Lecture 14) |
- Watts (2002) PNAS
- Aral and Walker (2012) Science
- Jon Kleinberg, multiple talks
- Leskovec talk
- Kleinberg's publications
- Young (2010) Dynamics of Social Innovation |
HW4, HW4a, HW4b due May 29
HW5a -- Final project, HW5b due June 7th |
May 22 | Sandpile cascades, and Intro to biological networks (Lecture 15) (almaasBioNets.pdf)
|
- Brummitt, et al, PNAS (2012)
- "Network Theory for Biologists"
| |
May 24 | Temporal networks
(Lecture 16)
|
|
|
May 29 | Power grids and sandpile cascades on networks (Lecture 17 -- and see resources next tab) | - CA ISO_Tour_part1
- CA ISO tour part 2 (Contact Prof D'Souza for these slides) | (HW4, HW4a, HW4b due) |
May 31 | Controlling complex netorks Lecture 18 | - Future directions in Network Science - Control of Complex Networks RMP (2016)
- Controlling phase transitions (NPhys 2015)
|
|
June 5 | Student presentations | - Presentation guidelines - Project write up guidelines |
Presentation schedule! |
June 7 | Student presentations | | HW5a (Class Project) and HW5b due - Project write up guidelines |