In this paper we explore the friendship theorem, which in graph theory is stated as if we have a finite graph in which any two nodes have exactly one common neighbor, then Then there is a node which is adjacent to all other nodes. We provide a common proof of the friendship theorem, followed by two extensions. The first extension relates to the number of common neighbors a node must have. The s...

which to build inclusive and exclusive social networks determined by the different expectations and preferences of their users. Social networks are generated using a selforganizing map to cluster the decision makers (DMs) by their friendship acceptance behavior. We analyze the effects on the cluster structure of the resulting social network that follow from modifying the distribution of request...

This article explores how children make, manage, or avoid friendships in super-diverse primary school settings. We draw on interviews and pictorial data from 78 children, aged 8-9 years across three local London primary schools to identify particular friendship groupings and the extent to which they followed existing patterns of social division. Children in the study did recognise social and cu...

This study investigated how Korean (N = 397) and U.S. (N = 333) children and adolescents (10 and 13 years of age) evaluated personality (aggression, shyness) and group (gender, nationality) characteristics as a basis for peer rejection in three contexts (friendship rejection, group exclusion, victimization). Overall, peer rejection based on group membership was viewed as more unfair than peer r...

Prior research is split on the relationship between prior friendship and performance. Based on our review of the literature, we highlight areas where further research is needed to achieve greater practical applicability of the results. We then present our study measures and preliminary analysis of data collected from a design studio university course. Our quantitative and qualitative probes sug...