graph_energy_mult: Calculate the graph energy for a list of graphs

In abnormally-distributed/rsfcNet: Analyze resting state functional connectivity networks

Description

This function calculates the energy each graph in a list.

Usage

graph_energy_mult(graphs)

Arguments

graphs

A list of networks as igraph objects or as matrices

Details

Graph energy was originally applied in organic chemistry to quantify the stability of molecular orbitals associated with pi-electrons (Li, Shi, & Gutman, 2012). The graph energy informs about the connectivity of the graph as a whole. A graph energy of zero means the nodes are not connected at all. The graph energy is calculated by summing the absolute values of the eigenvalues for the matrix. See Daianu et al (2015) for an example of an application to neuroimaging.

Value

A vector of graph energy values for each graph.

Author(s)

Brandon Vaughan

References

Daianu, M., Mezher, A., Jahanshad, N., Hibar, D. P., Nir, T. M., Jack, C. R., … Thompson, P. M. (2015). SPECTRAL GRAPH THEORY AND GRAPH ENERGY METRICS SHOW EVIDENCE FOR THE ALZHEIMER’S DISEASE DISCONNECTION SYNDROME IN APOE-4 RISK GENE CARRIERS. IEEE International Symposium on Biomedical Imaging, 2015, 458–461. http://doi.org/10.1109/ISBI.2015.7163910

Li, X.; Shi, Y.; Gutman, I. (2012), Graph Energy, New York: Springer, ISBN 978-1-4614-4219-6.

See Also

laplace_centr_mult delta_energy_mult fiedler_value_mult

Examples

energy = graph_energy_mult(Graphs)

abnormally-distributed/rsfcNet documentation built on March 8, 2020, 5:32 p.m.