When the degree distribution is plotted on logarithmic axes, an approximately straight line indicates a power-law relationship between degree and frequency. The video uses this visual pattern as evidence for scale-free structure.
Conditions: The horizontal and vertical axes are both logarithmic.; The empirical points lie approximately along a straight line.
When the degree distribution is plotted on logarithmic axes, an approximately straight line indicates a power-law relationship between degree and frequency. The video uses this visual pattern as evidence for scale-free structure.
Conditions: The horizontal and vertical axes are both logarithmic.; The empirical points lie approximately along a straight line.
Characteristic path length is the average shortest path length across the network, describing typical separation between nodes. In contrast, network diameter is the length of the longest shortest path, capturing the maximum separation between the two most distant nodes.
Conditions: The network is connected so that pairwise shortest-path distances are defined.; The average is taken over distinct node pairs.
Characteristic path length is the average shortest path length across the network, describing typical separation between nodes. In contrast, network diameter is the length of the longest shortest path, capturing the maximum separation between the two most distant nodes.
Conditions: The network is connected so that pairwise shortest-path distances are defined.; The average is taken over distinct node pairs.