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Addressing Threats and Vulnerabilities in Critical Interconnected Systems Jon Kleinberg Cornell University Washington DC Metro Map wmata.com Power Grid Florida Power Grid (Dale et al, Xu et al) Boston, Google Maps Social Network Facebook

  1. Addressing Threats and Vulnerabilities in Critical Interconnected Systems Jon Kleinberg Cornell University

  2. Washington DC Metro Map wmata.com

  3. Power Grid Florida Power Grid (Dale et al, Xu et al)

  4. Boston, Google Maps

  6. Social Network Facebook user’s friends (Marlow et al)

  7. Financial Network Loans among banks (Bech and Atalay)

  8. First Mechanism: Transmission

  9. First Mechanism: Transmission Measles transmission (Currie et al)

  10. First Mechanism: Transmission HIV transmission (Potterat et al)

  12. Second Mechanism: Unraveling D C B A If node B depends on node A , and node A fails, then B may fail.

  13. Second Mechanism: Unraveling D C B A If node B depends on node A , and node A fails, then B may fail.

  14. Second Mechanism: Unraveling D C B A If node B depends on node A , and node A fails, then B may fail.

  15. Second Mechanism: Unraveling D C B A If node B depends on node A , and node A fails, then B may fail.

  16. Second Mechanism: Unraveling D C B A If node B depends on node A , and node A fails, then B may fail.

  17. Second Mechanism: Unraveling Power grid (Schafer et al)

  18. Themes for Network Cascades (1) Critical nodes (2) Cascading behavior as a design goal (3) Predictability (4) Early-warning signals

  19. Critical Nodes “Single point of failure” Can be either a good or a bad thing, depending on the objective.

  20. Critical Nodes

  21. Critical Nodes Knoxville News Sentinel

  22. Critical Links for Unraveling Power grid (Schafer et al)

  23. Cascading Behavior as a Design Goal

  24. Cascading Behavior as a Design Goal LinkedIn invitations (Anderson et al)

  25. Themes for Network Cascades (1) Critical nodes (2) Cascading behavior as a design goal (3) Predictability (4) Early-warning signals

  27. Sudden Onset (Networkx, networkx.github.io)

  28. Early-Warning Signals Facebook reshares (Cheng et al)

  29. Early-Warning Signals Signals in financial network (Battiston et al, Squartini et al)

  30. Themes for Network Cascades (1) Critical nodes (2) Cascading behavior as a design goal (3) Predictability (4) Early-warning signals

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