Pajek (Application)
Reduction of a Network
Local View
We can use partitions to reduce a network extracting one part, ex south-american countries
1 - load "Imports_manufactures.net"
2 - extract south-american countries
2.1 - load "Continent.clu"
2.2 - Operation -> Net. + Partitions -> Extract Subnetwork -> 6 (south-american cluster)
2.3 - note: the resulting subnetwork was selected on the first 'Networks' combobox
2.3 - note: you can show your subnetwork using Draw -> Draw
3 - draw economic clusters over south-american countries
3.1 - note, you need a subpartition of economic clusters with same dimension of your extracted partition
3.2 - load "World_system.clu" economical clusters
3.3 - select "World_system.clu" at first 'Partitions' combobox
3.4 - select "Continent.clu" at second 'Partitions' combobox
3.5 - Partitions -> Extract Subpartition (Second from First) -> 6 (south-american cluster)
3.6 - note: the resulting subpartition was selected on the first 'Partitions' combobox
3.7 - show your economic south-american partition using Draw -> Draw + First Partition
Global View
We can use partitions to reduce a network shrinking each class of vertices into one new vertex, ex continents
1 - load "Imports_manufactures.net"
2 - shrink all countries within a continent to a new vertex that represents the entire continent
2.1 - load "Continent.clu"
2.2 - Operation -> Net. + Partitions -> Shrink Network -> 1, 0 (1 is minimum lines to create lines, 0 indicate to shrink all classes)
2.3 - note: the resulting subnetwork was selected on the first 'Networks' combobox
2.4 - note: the resulting subpartition was selected on the first 'Partitions' combobox
2.5 - note: you can show your subnetwork using Draw -> Draw + First Partition
2.6 - note: you can set better names using File -> Partition -> Edit
2.7 - note: you can show relation's values using Options -> Lines -> Mark Lines -> with Values
Contextual View
We can use partial shrinking to shrink all class of vertices excelt the one in which there is a particularly interest, ex shrink all continents except the South American countries to see their relations with the other continents.
1 - load "Imports_manufactures.net"
2 - shrink all countries within a continent to a new vertex that represents the entire continent
2.1 - load "Continent.clu"
2.2 - Operation -> Net. + Partitions -> Shrink Network -> 1, 6 (1 is minimum lines to create lines, 6 indicate to not shrink south-american class)
2.3 - note: you can set better names using File -> Partition -> Edit
2.4 - note: you can show your subnetwork using Draw -> Draw + First Partition