KONECT ‣ Statistics ‣
Buy Me a Coffee
These are the values of the spectral signed frustration (φ) for all networks to which the statistic applies and for which it was computed. In total, it has been computed for 27 networks.
The spectral signed frustration (φ) is, for signed graphs, a measure of the conflict in the network. It is defined as the algebraic conflict (the smallest eigenvalue of the signed Laplacian matrix) times the number of nodes, divided by eight times the number of edges. It approximates the fraction of edges whose sign must be switched for the graph to be balanced. Its value lies between zero and one. It is analogous to the spectral bipartite frustration, by formally switching the sign of all edges.
The full definition of the spectral signed frustration as well as its properties and relationships to other graph statistics can be found in the KONECT handbook.
| Name | Attributes | φ |
| Highland tribes |   | 0.035 872 0 |
| Crisis in a Cloister |   | 0.153 345 |
| Pro League (2016/2017) |   | 0.304 500 |
| Bundesliga (2016/2017) |  | 0.326 982 |
| Ligue 1 (2016/2017) | | 0.366 052 |
| Premier League (2013/2014) | | 0.493 919 |
| Congress votes |  | 0.008 768 99 |
| Dutch college |  | 0.043 607 4 |
| FilmTrust ratings |    | 0.003 369 74 |
| Bitcoin Alpha | | 0.004 771 95 |
| WikiLens | | 0.004 816 06 |
| Amazon (Wang) |  | 0.001 456 17 |
| Bitcoin OTC | | 0.004 875 71 |
| Sexual escorts | | 0.000 650 304 |
| Chess | | 0.001 957 64 |
| CiaoDVD movie ratings | | 0.001 033 49 |
| Wikipedia elections | | 0.001 452 13 |
| TripAdvisor | | 0.000 480 856 |
| BookCrossing (ratings) | | 0.000 357 269 |
| Slashdot Zoo | | 0.001 562 05 |
| WikiSigned | | 0.000 536 837 |
| Epinions | | 0.000 659 724 |
| CiaoDVD review ratings | | 0.000 343 991 |
| Jester 150 | | 0.028 117 1 |
| Jester 100 | | 0.033 325 9 |
| MovieLens 10M | | 0.000 953 637 |
| Libimseti.cz | | 0.000 537 773 |