Table 1 Description of network measures used in the study, along with their mathematical equations.

From: Game theory in the classroom: low cooperative relationships identify bullying patterns in elementary schools

Measure

Description

Equation

Weighted in-degree (In-strength)

Sum of all weights of edges directed to a student, equivalent to the total received cooperation by a student.

\({I}_{s}=\mathop{\sum }\nolimits_{i = 1}^{n}{w}_{is}\)

Weighted out-degree (Out-strength)

Sum of all weights of edges directed from a student to all other classmates, equivalent to the total sent cooperation by a student.

\({O}_{s}=\mathop{\sum }\nolimits_{j = 1}^{n}{w}_{sj}\)