This video explains percolation centrality, a metric of node importance in networks undergoing a percolation process on its nodes. In this video, we use the terms "infected" and "percolated" interchangeably. We discuss the connection between betweenness centrality and percolation
centrality, as well as how percolation centrality can be applied to real-world contagion spread.
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00:00 Overview
00:35 Motivating Ideas
01:15 Deriving Percolation Centrality Formula
06:30 Example 1: Single Infected Node
08:00 Example 2: Fully Infected Network
09:05 Connection to Betweenness Centrality
11:35 Partial Percolation
13:40 Applications
#SoME3 #graphtheory
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