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Table 3 Cell-graph metrics, interpretations, and categories.

From: Quantitative metric profiles capture three-dimensional temporospatial architecture to discriminate cellular functional states

Index

Metric Label

Metric Interpretation

Metric Category

1

Average Degree

Number of edges per node

Compactness

2

Clustering Coefficient C

Ratio of total number of edges among the neighbours of the node to the total number of edges that can exist among the neighbours of the node per node

Clustering

3

Clustering Coefficient D

Ratio of total number of edges among the neighbours of the node and the node itself to the total number of edges that can exist among the neighbours of the node and the node itself per node

Clustering

4

Clustering Coefficient E

Ratio of total number of edges among the neighbours of the node to the total number of edges that can exist among the neighbours of the node per node excluding the isolated nodes

Clustering

5

Average Eccentricity

Average of node eccentricities where the eccentricity of a node is the maximum shortest path length from the node to any other node in the graph

Compactness

6

Diameter

Maximum of node eccentricities

Compactness

7

Radius

Minimum of node eccentricities

Compactness

8

Average Path Length

Average distance between the nodes of a graph, where the distance between two nodes is the number of edges in the shortest path that connects them

Compactness

9

Hop Plot Exponent

Slope of the line fitted to the hop plot values in log-log domain, where the hop plot value for hop h is the number of node pairs for which the path length between the pairs is less than or equal to h

Compactness

10

Giant Connected Component Ratio

Ratio between the number of nodes in the largest connected component in the graph and total the number of nodes

Clustering

11

Number of Connected Components

Number of clusters in the graph excluding the isolated nodes

Clustering

12

Average Connected Component Size

Number of nodes per connected component

Clustering

13

Percentage of Isolated Points

Percentage of the isolated nodes in the graph, where an isolated node has a degree of 0

Compactness

14

Percentage of End Points

Percentage of the isolated nodes in the graph, where an isolated node has a degree of 1

Compactness

15

Number of Central Points

Number of nodes within the graph whose eccentricity is equal to the graph radius

Compactness

16

Percentage of Central Points

Percentage of the central points in the graph

Compactness

17

Average of Edge Lengths

  

18

Standard Deviation of Edge Lengths

  

19

Skewness of Edge Lengths

Statistics of the edge length distribution in the graph

Spatial Uniformity

20

Kurtosis of Edge Lengths