Table 2 Data sets used in this work
From: Non-backtracking cycles: length spectrum theory and graph mining applications
data set | network | n | 〈k〉 | \(\bar {c}\) |
|---|---|---|---|---|
Online social (social) | 4k | 43.69 | 0.61 | |
sdot8 | 77k | 14.13 | 0.06 | |
sdot9 | 82k | 14.18 | 0.06 | |
Epinions | 76k | 10.69 | 0.14 | |
81k | 33.02 | 0.57 | ||
Wiki | 7k | 28.32 | 0.14 | |
Coauthorship (CA) | AstroPh | 19k | 21.11 | 0.63 |
CondMat | 23k | 8.08 | 0.63 | |
GrQc | 5k | 5.53 | 0.53 | |
HepPh | 12k | 19.74 | 0.61 | |
HepTh | 10k | 5.26 | 0.47 | |
Peer-to-peer file-sharing (P2P) | P2P04 | 11k | 7.35 | 0.01 |
P2P05 | 9k | 7.20 | 0.01 | |
P2P06 | 9k | 7.23 | 0.01 | |
P2P08 | 6k | 6.59 | 0.01 | |
P2P09 | 8k | 6.41 | 0.01 | |
P2P24 | 27k | 4.93 | 0.01 | |
P2P25 | 23k | 4.82 | 0.01 | |
P2P30 | 36k | 4.82 | 0.01 | |
P2P31 | 63k | 4.73 | 0.01 | |
Autonomous systems (AS) | AS331 | 11k | 4.12 | 0.30 |
AS407 | 11k | 4.10 | 0.29 | |
AS414 | 11k | 4.16 | 0.30 | |
AS421 | 11k | 4.19 | 0.30 | |
AS428 | 11k | 4.13 | 0.29 | |
AS505 | 11k | 4.13 | 0.29 | |
AS512 | 11k | 4.12 | 0.29 | |
AS519 | 11k | 4.11 | 0.29 | |
AS526 | 11k | 4.19 | 0.30 | |
BA-1k | 1k | 13.90 | 0.05 | |
CM-1k | 1k | 10.20 | 0.17 | |
ER-1k | 1k | 14.99 | 0.15 | |
HG-1k | 997±2 | 14.72 | 0.82 | |
KR-1k | 1021±1 | 14.54 | 0.03 | |
WS-1k | 1k | 14.00 | 0.67 | |
BA-5k | 5k | 13.98 | 0.02 | |
CM-5k | 5k | 11.40 | 0.13 | |
ER-5k | 5k | 15.00 | 0.00 | |
HG-5k | 4982±8 | 14.67 | 0.82 | |
KR-5k | 4089±3 | 18.27 | 0.01 | |
WS-5k | 5k | 14.00 | 0.67 | |
BA-10k | 10k | 13.99 | 0.01 | |
CM-10k | 10k | 11.97 | 0.12 | |
ER-10k | 10k | 14.99 | 0.00 | |
HG-10k | 9958±15 | 14.96 | 0.83 | |
KR-10k | 8170±11 | 18.32 | 0.01 | |
WS-10k | 10k | 14.00 | 0.67 |