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Networks

Basics

node

These are nodes. Nodes can be anything.

edges

These are edges. Any relationship can be an edge.

Can your data be represented as a graph?

http://www.hiveplot.com/img/hiveplot-hairball-1.png

Nodes and Edges can have attributes

nodes and edges

Kinds of edges

dyad

a dyad

dyad reciprocal

a dyad where the relationship is reciprocated

triad transivity

  • Transivity is the concept that when A is connected to B and C, B and C will also be connected.
  • What does that imply in, for instance, correspondence networks?

Kinds of networks

unweighted

  • unweighted

weighted

  • weighted

directed

  • directed

citation

  • citation graph as directed network

bipartite

  • bipartite or 2-mode network

Exercise

  • Build a social network of students in this class
  • Who are the nodes?
  • What are the links?

collapsing bipartite

  • nb many network metrics assume 1-mode graph. That's not to say they can't be calculated on a 2-mode graph; it's just they might not mean what you think they mean.

Metrics

Path Length

path length

Bacon Number My Bacon Number is 3

Degree Centrality degree centrality

Closeness Centrality Closeness

Betweeness Centrality betweeness

The difference a metric makes

  • Here we go to Clement Levallois' tutorial on why networks p35

same-network-different-centralities

  • same network, different centralities!

directed matters

  • and directionality matters!

more