Tuesday, May 26, 2020

A Proof from 'The Book', Huang, Emory


A Proof from 'The Book'


https://cacm.acm.org/magazines/2020/5/244324-a-proof-from-the-book/fulltext

https://www.youtube.com/watch?v=hm9oOv-PZ6Q


By the way Huang assigned ‘-1’ for adjacency matrix, which puzzles me. 

What is exciting is that he has a theorem says that: 
    Square root of the largest degree < the largest eigen value of an Adjacency matrix < largest degree. (see a picture below)




Huang used -1 in the adjacency matrix, not the Laplacian matrix. He assumes positive and negative interactions in his graphs
 












Question: normally, zero means no interaction? 

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