2. Topics
•
The explosion of social interactions
•
ICT and social interactions
•
Social Networks
•
Metrics
•
Data
•
Tools
•
Project ideas
2SSIIM, 2016/10/06
15. Where are we?
●
Complex networks
●
Actors influencing and being influenced by
other actors
●
But humans are not software agents
●
Difficult to establish consensus
●
Intelligence highly needed
●
Maybe biology could inspire us...
SSIIM, 2016/10/06 15
18. Basics of graphs and networks
•
G = (V, E)
•
O(G) = |V| order
•
S(G) = |E| size
•
A adjacency matrix
• Ki
degree of vertex i
•
Directed/undirected
SSIIM, 2016/10/06 18
19. Representation of networks
•
Matrixes, graphs, edge lists, etc
A B C D E
A 0 1 1 1 0
B 1 0 1 0 1
C 0 0 0 1 0
D 0 1 1 0 0
E 1 1 0 0 0
A B
A C
A D
B A
B C
B E
C D
D B
D C
E A
E B
SSIIM, 2016/10/06 19
20. Global metrics
•
Number of vertexes 5
•
Number of edges 11
•
Number of components 1
•
Diameter 2
•
Density 0.55
SSIIM, 2016/10/06 20
21. Centrality Measures
•
Degree centrality
– Edges per node (the more, the more important the node)
•
Closeness centrality
– How close the node is to every other node
•
Betweenness centrality
– How many shortest paths go through the edge node
•
Bibliometric + Internet style (quality of edges)
– PageRank, eigenvector
21SSIIM, 2016/10/06
24. A simple study
•
The universe of students that opted for a
FEUP course in 2016 (1st
call)
– http://www.dges.mctes.pt/coloc/2016/col1listas.asp
•
The choices of each student (inside FEUP)
•
Each student connected to all courses
selected
•
Force layout
SSIIM, 2016/10/06 24
26. Community detection
•
Communities and clusters are different
•
Network data is related to graph properties
•
Real world data is big
SSIIM, 2016/10/06 26
27. Modularity
•
Compares number of edges with number of
edges of a random network
•
Maximize Q is NP-hard
SSIIM, 2016/10/06 27
( ) ( )jg,ig
ij
ijPijA
m2
1
Q
m2
jkik
ijP
δ∑ −=
=
29. Dynamics
•
Networks have a temporal dimension
•
Interactions – follow, like, share, mention,
retweet, hashtag, etc – occur in sequence
•
Network properties evolve in time
SSIIM, 2016/10/06 29
30. Impact of bots
•
The use of bots is increasing
•
In Twitter, one in 20 active accounts are fake
•
In Facebook, one in 100 active accounts is
estimated to be fake
•
Better auditing algorithms are needed
SSIIM, 2016/10/06 30