M11441 Complex Networks and Mathematical Modeling

Syllabus

Website

Weekly Plan and Materials

• Week 1 (2026.02.25):

  • Lecture Slides [Website]

  • Additional Reference: A sheaf modeling on biomolecular dynamics [Website]

• Week 2 (2026.03.04):

  • Lecture Note 1 [Website]

• Week 3 (2026.03.11): 

  • Lecture Note 2 [Website]

• Week 4 (2026.03.18):

  • Lecture Note 3 [Website]

  • Lecture Note 4 [Website]

• Week 5 (2026.03.25):

  • Lecture Note 5 [Website]

• Week 6 (2026.04.01): School anniversary holiday compensation

• Week 7 (2026.04.08):

Course Resources

• Websites

  • NUK Library and Information Center: https://lic.nuk.edu.tw/

  • Prof. Guangliang Chen's website (San Jose State University): https://www.sjsu.edu/faculty/guangliang.chen/

• Articles and Textbooks

  • Naderi, Kiyan, and Konstantin Pankrashkin. Introduction to Spectral Graph Theory. Springer Nature, 2026. [Springer Nature Link] 

  • Ortega, Antonio. Introduction to graph signal processing. Cambridge University Press, 2022. (高雄大學圖書館館藏)

  • Brémaud, Pierre. Markov chains: Gibbs fields, Monte Carlo simulation, and queues. Vol. 31. Springer Science & Business Media, 2013. [Springer Nature Link] 

  • Hansen, Jakob, and Robert Ghrist. ``Toward a spectral theory of cellular sheaves.'' Journal of Applied and Computational Topology 3.4 (2019): 315-358. 

• Tools, Packages, and Datasets

  • NetworkX: https://networkx.org/documentation/stable/tutorial.html

  • Cora: https://graphsandnetworks.com/the-cora-dataset/