Channel: PBS Infinite Series

Category: Education

Tags: pbsinfinite seriesromeoeducationjon snowdaenerysmathematicssocialinfinitemontaguecapulettyrionmathematiciannetworksrelationshipsdynamicsjulietstructural balancestarkseriesrhaegarmathgame of thrones

Description: Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: to.pbs.org/donateinfi The theory of social networks allows us to mathematically model and analyze the relationships between governments, organizations and even the rival factions warring on Game of Thrones. Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Arrow’s Impossibility Theorem youtube.com/watch?v=AhVR7gFMKNg Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (kornhaberbrown.com) Resources and Special thanks: Network, Crowds and Markets, by David Easley and John Kleinberg :: cs.cornell.edu/home/kleinber/networks-book Cartwright and Harary :: snap.stanford.edu/class/cs224w-readings/cartwright56balance.pdf Antal, Krapivsky, and Redner :: physics.bu.edu/~redner/pubs/pdf/dresden.pdf Steven Strogatz Lecture :: youtube.com/watch?v=P60sWUxluyk Special Thanks: Steven Strogatz Commonly, in the field of social network analysis, one uses a graph - also called a network - where the vertices, or nodes, represent individuals and the edges represent something about the relationships or interactions between individuals. These networks might represent Facebook friendships, or help us understand the spread of disease. This episode focuses on one model of a social network that encodes whether relationships are positive or negative -- in other words, if they’re friendly or hostile -- and the notion of structural balance. Challenge Winners: Cantor’s Cat youtube.com/watch?v=AhVR7gFMKNg&lc=z13lyxtxmom1tv51y23tzluompyzg5xkw David de Kloet youtube.com/watch?v=AhVR7gFMKNg&lc=z13lyxtxmom1tv51y23tzluompyzg5xkw.1498299129602777 Comments answered by Kelsey: Edelopo youtube.com/watch?v=AhVR7gFMKNg&lc=z12ftje5aybuxhro204chdn4tuqovxwjapk0k