Before revision:  While there are preferable differences between BFS and EDS paths in terms of variation in path length , search cost and link usage, there are also similarities in terms of centrality and hierarchy . EDS identifies a set of short-cut edges for each PRN . Short-cut edges are enriched with short-range links, and the short-cut network (SCN) they form spans most of a PRN's nodes, is adjacent to most of a PRN's edges and is strongly transitive.
After revision:  While there are preferable differences between BFS and EDS paths in terms of variation in path length , search perspective, this conflict between form and function is resolved as increased clustering actually helps to reduce path length in PRNs. Further, the paths found via our EDS local search algorithm are more congruent with the characteristics of intra-protein communication . EDS identifies a set of short-cut edges for each PRN . Short-cut edges are enriched with short-range links, and the short-cut network (SCN) they form spans most of a PRN's nodes, is adjacent to most of a PRN's edges and is strongly transitive.