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 cost and link usage, there are also similarities in terms of centrality and hierarchy . EDS identifies a subset of PRN edges called short-cuts that are distinct, have high usage, impacts EDS path length, diversity and stretch, and are dominated by 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.