Long-term trends over the entire time series are average annual percentage changes (AAPCs) and were estimated as the weighted average of the short-term APCs, with the weights equal to the length of the short-term line segment (Clegg et al. 2009).
The mean shortest path length is the average of the shortest path length between each pair of nodes in the graph.
The characteristic path length of a network is the average of the
While this is a wide range, the average (68.7% ± 23%; N = 5), is close to the total average of the short-term experiment (72.2% ± 24%; N = 6), which represents significant reductions in expression levels (dependent t-test, p < 0.05).
The diameters for the networks were obtained by the average of the shortest paths of each pair of nodes in the network.
Moreover, the inference of mean shortest path (the average of the shortest distances between pairs of nodes) gives a value of 5.61 indicating that the network has also small-world characteristics.
Here, we measure the average pathway length by the average shortest path (ASP), which is the average of the shortest routes from an input metabolites to each of the biomass metabolites.
In terms of calibration, the average of the shortest spacing probe was normalized to the model to account for the probe characteristics such as detector sensitivity and LED power, the same calibration factor was applied to the rest of the probes.
Clustering coefficient of a graph is another commonly used characteristic which gives the ratio of the number of existing connections to the number of all possible connections [ 44, 87], whereas the characteristic path length is the average of the shortest path lengths between the nodes.
The characteristic path length of a network is the average of the shortest path length between the nodes: (4) L p = 1 N ∑ i ∈ G L i. L p quantifies the ability of parallel information propagation or global efficiency (in terms of 1/ L p ) of a network [ 47].
Because the shortest path is defined with respect to a pair of nodes, and we want to assign a related measurement to each node i, we henceforth consider the average of the shortest paths between i and all the other network nodes as a feature of node i, represented as s i.
