1 / 20

Exploring Network Theory: Types, Examples, and Key Concepts in Dynamic Systems

This piece delves into various types of networks as discussed by Prof. Dr. Steffen Staab and Dr. Christoph Ringelstein. It covers information, communication, and social networks, showcasing examples like Facebook relationships and historical social networks, such as Florentine marriages in the 1400s. The text also examines structural characteristics of networks, including directed, undirected, weighted, and bipartite types. It poses critical questions about network dynamics, information travel, and the implications of small-world phenomena on our understanding of social connectivity.

minh
Télécharger la présentation

Exploring Network Theory: Types, Examples, and Key Concepts in Dynamic Systems

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Network Theory and Dynamic SystemsNetworks – Part 2 Prof. Dr. Steffen Staab Dr. Christoph Ringelstein AcknowledgementstoAdam Wierman et al, http://courses.cms.caltech.edu/cs144/

  2. Network Type Bycontent • Information network (example?) • Communication network (example?) • Socialnetwork (example?) • Further examples

  3. Beyond the web …traditional social networks Florentinemarriagesin 1400

  4. Beyond the web …traditional social networks Florentinemarriagesin 1400 (from LeeatYariv)

  5. Beyond the web …transportation networks Tokyo metro European airlines

  6. Beyond the web …coauthor & citation networks Citations amongbiochem patents

  7. Beyond the web …biological networks Biochemical pathways ofmalaria

  8. Network Type Bycontent • Information network (example?) • Communication network (example?) • Socialnetwork (example?) • Further examples Bystructure • Directed • Undirected • Weighted • Signed • Bipartite

  9. Twoexampletoysocialnetworks

  10. Questionstoask Whatmakesthetwo different? Howtomeasurethis?

  11. Questionstoask Whatisthebestpositiontobe in?

  12. Questionstoask Howlongdoesitforinformationtotravel?

  13. Questionstoask Whichnew link tosuggest?

  14. Small World Phenomena

  15. Howmanyfriends do peoplehave on Facebook? Lars Backstrom, 22. November 2011 https://www.facebook.com/notes/facebook-data-team/anatomy-of-facebook/10150388519243859 • 721 million active Facebook users (more than 10% of the global population) • 69 billion friendships between them

  16. Howmanyfriends do peoplehave on Facebook? Cumulativedegreedistribution Median: ~100 Average: ~190 Whatistheimplication?

  17. Howmanyfriends do peoplehave on Facebook? Seeming paradox impliedbytheskew: • Most ofyourfriendshavemorefriendsthanyouhave • Most oftheflightsyouare in arecrowded • Most ofthe time (but not mostofthetimes!) yourlineatthecountermovestheslowest • …

  18. Howfararethesefriendsaway? • 99.6% of all pairs of users are connected by paths with 5 degrees (6 hops), • 92% are connected by only four degrees (5 hops). • The average distance in 2011 was 4.74.

  19. Confirmed in manystudies • Microsoft Instant Messenger (240 millionactiveusers) • Erdösnumber: Distanceto Paul Erdös(whohad 1500 publications) • Bacon number: Kevin Bacon • Biggestnumber in IMDB(www.imdb.de/) is 8 for a Soviet film from 1929

  20. Summary • Therearenetworksofmanycontenttypes • Therearenetworksofmany link types • Therearefurthercharacteristicslike: • (In-/out-)Degreedistributionofnodes • Average and median distance • Andmorecomingup….

More Related