Graph Energy

The energy of a graph is defined as the sum of the absolute values of its graph eigenvalues (i.e., the sum of its graph spectrum terms).

Other varieties of graph energy are defined analogously using different matrices associated with a graph (and in particular, a weighted adjacency matrix).

See also

ABC Energy, Arithmetic-Geometric Energy, Graph Eigenvalue, Graph Spectrum, Randić Energy, Sombor Energy

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Cvetković, D. M.; Doob, M.; Sachs, H. Spectra of Graphs. New York: Academic Press, 1980.Gutman, I. "The Energy of a Graph." In 10. Steiermärkisches Mathematisches Symposium (Stift Rein, Graz, 1978). Ber. Math.-Statist. Sekt. Forsch. Graz 103, 1-22, 1978.Gutman, I. "The Energy of a Graph: Old and New Results." In Algebraic Combinatorics and Applications (Gößweinstein, 1999). Berlin: Springer, pp. 196-211, 2001.Li, X.; Shi, Y.; and Gutman, I. Graph Energy. New York: Springer, 2012.

Cite this as:

Weisstein, Eric W. "Graph Energy." From MathWorld--A Wolfram Web Resource.

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