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Graph Theory

From Ioannis Kourouklides
Revision as of 23:48, 12 April 2020 by Kourouklides (talk | contribs) (→‎Scholarly Articles)
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This page contains resources about Graph Theory, Complex Networks and Network Science in general.

Subfields and Concepts[edit]

  • Undirected Graph
  • Directed Graph
  • Eulerian Path/Cycle
  • Eulerian Graph
  • Hamiltonian Path/Cycle
  • Handshaking Lemma
  • Minimum Spanning Tree
  • Bipartite Graph / Bigraph
  • Topological Metics:
    • Assortativity
    • Betweenness
    • Centrality
    • Closeness
    • Clustering coefficient
    • Degree
    • Degree distribution
    • Geometric measures
    • Network motif
    • Modularity
    • Small-worldnes
  • Link Analysis Algorithms
    • PageRank
    • Hyperlink-Induced Topic Search (HITS) / Hubs and authorities
    • Weisfeiler-Lehman
    • Deep Graphs
  • Complex Networks / Network Science

Online courses[edit]

Video Lectures[edit]


Lecture Notes[edit]

Books[edit]

  • Latora, V., Nicosia, V., & Russo, G. (2017). Complex Networks: Principles, Methods and Applications. Cambridge University Press.
  • Barabasi, A. L. (2016). Network Science. Cambridge University Press.
  • Caldarelli, G., & Catanzaro, M. (2012). Networks: A Very Short Introduction. Oxford University Press.
  • Barrat, A., Barthelemy, M., & Vespignani, A. (2012). Dynamical Processes on Complex Networks. Cambridge University Press.
  • Bona, M. (2011). A Walk Through Combinatorics. 3rd Ed. World Scientific Publishing Company.
  • Estrada, E. (2011). The Structure of Complex Networks: Theory and Applications. Oxford University Press.
  • Xiong, B., & Zheng, Z. (2010). Graph Theory: In Mathematical Olympiad and Competitions (Volume 3). World Scientific.
  • Havlin, S., & Cohen, R. (2010). Complex Networks: Structure, Robustness and Function. Cambridge University Press.
  • Newman, M. (2010). Networks: An Introduction. Oxford University Press.
  • Steen, M. (2010). Graph Theory and Complex Networks: An Introduction, Maarten van Steen.
  • Lewis, T. G. (2009). Network Science: Theory and Applications. John Wiley & Sons.
  • Bondy, J. A., & Murty, U. S. R. (2008). Graph Theory. 3rd Ed. Springer.

Scholarly Articles[edit]

  • Watanabe, C., Hiramatsu, K., & Kashino, K. (2018). Understanding Community Structure in Layered Neural Networks. arXiv preprint arXiv:1804.04778.
  • Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., & Hwang, D. U. (2006). Complex networks: Structure and dynamics. Physics Reports, 424(4-5), 175-308.

Software[edit]

See also[edit]

Other Resources[edit]