Table 3 Number of neighboring nodes required for a local majority given the degree of a node.

From: An experimental study of network effects on coordination in asymmetric games

Degree centrality

1

2

3

4

5

6

7

8

Number of neighboring nodes needed

1

1

2

2

3

3

4

4

Percentage of neighboring nodes needed

100%

50%

67%

50%

60%

50%

57%

50%

  1. Nodes with an even degree always need 50%, while an uneven degree requires more than 50% of its neighbors.