Motif Dynamics in Signed Directional Complex Networks
arXiv:2012.06255 · doi:10.1007/s40042-021-00058-6
Abstract
Complex networks evolve and vary their structure as time goes by. In particular, the links in those networks have both a sign and a directionality. To understand their structural principles, we measure the network motifs, which are patterns that appear much more than one would expect in randomized networks, considering both link properties. We propose motif dynamics, which is a study to investigate the change in the number of motifs, and applied the motif dynamics to an open evolving network model and empirical data. We confirm that a non-cyclic motif has a greater correlation with the system size than a cyclic structural motif. Furthermore, the motif dynamics can give us insight into the friendship between freshmen in a university.
References in corpus (10)
- Higher-order organization of complex networks
- Intensity and coherence of motifs in weighted complex networks
- The fundamental advantages of temporal networks
- Subgraphs in random networks
- Balance in signed networks
- Multiscale mixing patterns in networks
- Enhanced robustness of evolving open systems by the bidirectionality of interactions between elements
- Network Structures between Strategies in Iterated Prisoners' Dilemma Games
- Conservation of population size is required for self-organized criticality in evolution models
- Dynamic Motifs of Strategies in Prisoner's Dilemma Games