## Signed graphs- Definition of signed graphs
- Balanced and partitionable signed graphs
- Inconsistency (error) of given partition of vertices
- Searching for optimal partitions using local optimisation
Examples - Searching for the best partitions in
- sample66.net, sample2.net, sample9.net
- Sampson monastery: sam_aff2.net, sam_aff3.net, sam_aff4.net
Assignment -
Each student gets his own signed graphs.
Find partitions of signed graphs into
1, 2,…
*n*clusters (where*n*is number of vertices in the signed graph). For each number of clusters write the total error and number of optimal partitions. Draw a graph (number of clusters x error) for all three weeks in Excel. Report the partition where the total error is the lowest. Data - Interpretation of results.
Slides Pajek 2.05 (PDF) Slides - the latest version of Pajek (PDF) Test signed graphs (ZIP) Scores, assignments |