332_Networks

332_Networks - 1 Network Analysis Slide 1 Networks and...

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Unformatted text preview: 1 Network Analysis Slide 1 Networks and Network Measures Basic Network Analysis New Economic Geography and Networks Introduction to Complex Networks Thought Experiments and the Container Shipping Revolution Network Analysis Slide 2 Basic Network Analysis Graph Characteristics # nodes = 10 # links = 12 beta = links/nodes = 12/10 = 1.2 density (assume white area is 100 square miles) = 95 miles / 100 square miles # paths for undirected links = ( n (n-1) ) / 2 # paths for directed links = n (n-1) radius = smallest eccentricity = 20 center = node(s) with eccentricity=radius diameter = longest eccentricity = 44 CPL = 796/45 = 17.69 Node Characteristics (e.g. for Node 5) ♦ eccentricity = 20 = distance to furthest node in the network (#4) ♦ degree = 3 = number of links ♦ nCPL = nodeCPL = 122/9 = 13.56 2 Network Analysis Slide 3 Sample Shortest Paths Table (for an undirected graph) 10 5 9 12 7 8 25 20 13 7 10 5 12 25 6 17 12 5 18 7 5 12 17 24 37 13 20 4 17 13 20 33 8 15 5 3 28 23 16 29 18 11 16 11 2 34 30 22 35 24 17 22 17 6 1 10 9 8 7 6 5 4 3 2 1 34 30 24 37 25 20 37 33 29 34 Eccentricity Network Analysis Slide 4 File Layouts for Sample Network Node File Node ID...
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332_Networks - 1 Network Analysis Slide 1 Networks and...

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