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Network Mathematics and Rival Factions | Infinite Series

2017-06-29

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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.

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Previous Episode

Arrow’s Impossibility Theorem

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Written and Hosted by Kelsey Houston-Edwards

Produced by Rusty Ward

Graphics by Ray Lux

Made by Kornhaber Brown (www.kornhaberbrown.com)

Resources and Special thanks:

Network, Crowds and Markets, by David Easley and John Kleinberg :: https://www.cs.cornell.edu/home/kleinber/networks-book/

Cartwright and Harary :: http://snap.stanford.edu/class/cs224w-readings/cartwright56balance.pdf

Antal, Krapivsky, and Redner :: http://physics.bu.edu/~redner/pubs/pdf/dresden.pdf

Steven Strogatz Lecture :: https://www.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

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David de Kloet

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Comments answered by Kelsey:

Edelopo

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Arrow's Impossibility Theorem | Infinite Series by PBS Infinite Series
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Social Network Analysis
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Arrow's Impossibility Theorem | Infinite Series 155,783 views
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PBS Infinite Series Mathematician Tai-Danae Bradley and physicist Gabe Perez-Giz offer ambitious content for viewers that are eager to attain a greater understanding of the world around them. Math is pervasive - a robust yet precise language - and with each episode you’ll begin to see the math that underpins everything in this puzzling, yet fascinating, universe. Previous host Kelsey Houston-Edwards is currently working on her Ph.D. in mathematics at Cornell University.
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