Sunbelt XXXI International Network for Social Network ... - INSNA

Relation Algebra For Directed Bipartite NetworksEyre, Sean K.; Johnson, Benjamin; Johnson, Anthony ; McCulloh, IanNetwork MethodsTerrorism, Social Network, AlgebraFRI.AM1This study discusses appropriate relational algebra operations to extract social networks from directed bipartite networks. In addition, the concept of “linkstrength decay” is introduced, which implies that the likelihood that two nodes in a single mode are connected decays as the path length through an alternatemode increases. This work has direct application for extending social network analysis of criminal and terrorist networks beyond visual analysis to ensure theproper application of analytical methods.Relational Carrying Capacity: Limits On Network DevelopmentMonge, Peter R.; Margolin, Drew B.Network CharacteristicsNetwork Theory, EvolutionWED.PM1This paper articulates and expands the concept of relational carrying capacity (Monge, Heiss, & Margolin, 2008). The paper begins by distinguishing nodesfrom links as distinct forms of adaptive entity. Based on evolutionary principles of variation, selection, and retention, it then presents four related but distinctresources for the formation and maintenance of links between adaptive nodes: material resources, information processing capacity, normative compatibility,and adaptive freedom. Theoretical arguments and empirical support are offered for each pressure individually. Arguments are then developed which suggestthat adaptations by nodes or links to limit the pressure imposed by one constraint increase the pressure imposed by other constraints, leading to a generallimit on network growth. In the final section, these arguments synthesized into a model of network growth, limitation and potential collapse. The model isused to derive recommendations for sustainable network development.