2. Network
Graph
Chuck
Alice
Vertices
Nodes
Edges
Links
Bob

3. Chuck
Alice
Bob

4. Chuck
Alice
Bob

6. Apollo 13 Network Tom Hanks Bill Paxton The Green Mile Kevin Bacon
Magnificent Desolation: Walking on the Moon
The Green Mile
Bill
Paxton
Kevin
Bacon
Beyond All Boundaries
Demi Moore
Gary
Sinise
The Human
Stain Ed
Harris

7. Apollo 13 Network Tom Hanks Bill Paxton Kevin Bacon Gary Sinise Ed
Directed or Undirected?
Gary
Sinise Ed
Harris

8. Apollo 13 Network Degrees Tom Hanks Bill Paxton Gary Sinise
Kevin
Bacon Ed
Harris
Bill
Paxton
Gary
Sinise
Degrees
Tom Hanks
Bill Paxton
Gary Sinise
Kevin Bacon
Ed Harris 2 2 4 1 1

9. 3 2 3 2 4 4 3 3

10. Apollo 13 Network Edges: 5 Total Possible Edges: 10
Density: 5/10 = 0.5
Tom
Hanks
Bill
Paxton
Kevin
Bacon
Gary
Sinise Ed
Harris

11. Nodes: 8
Edges: 12
Total Possible Edges: ??
# Nodes * (# Nodes -1) 2
(8*7)/2 = 56/2 = 28
Density: 12/28 = 0.43

12. A E D C F G
Path
Distance / path length
Shortest path
SIX cliques H B

13. Apollo 13 Network Tom Hanks Bill Paxton Kevin Bacon Gary Sinise Ed
Find cliques
Gary
Sinise Ed
Harris

14. B C A J I H K R G D Q L M F N P E O

15. J I H G K R L N Q A M F P E D O C B

16. P 1 J I
O 1 H G
Q 2
C 2 R
D 3
R 1 Q
G 2 F P
J 2
I 2 D O
H 2
=18/10
1.8 C

17. P 2 J I
O 2 H G
Q 3
C 3 R
D 4
F 1 Q
G 1 F P
J 1
I 1 D O
H 1
=18/10
1.8 C

18. F 1 J I O 1 H G Q 1 C 2 R D 2 R 2 Q G 3 F P J 3 I 3 D O H 3 =21/10 2.1
Hub - connects many people (like R) D O
H 3
=21/10
2.1 C

20. J I H G K R L N Q A M F P E D O C B Hub - connects many nodes, like R
Bridge - if you delete a bridge, the endpoints will lie in different components D O C B

21. Q A P E D O
Subnetwork C B

22. Q A E D
Egocentric network for D, diameter 1 C B

23. Q A E D
Egocentric network for D diameter 1.5 (All of D’s friends and the connections between them) C B

25. 111 Edges, 48 nodes
111/(48*47) = 0.05