The Energy of Graphs
Thomas Sibley, Mathematics
The topic of graph energy was first introduced by Ian Gutman in 1978 and arose as a problem in chemistry dealing with the -electron energy of a molecule. In chemistry, a molecule can be represented as a graph with vertices and edges where the vertices represent atoms and the edges represent bonds between the atoms. For a matrix associated with the graph, the energy of a graph is defined as the sum of the absolute value of the eigenvalues. For my thesis I focused on the relationship between two forms of energy, Laplacian energy and signless Laplacian energy, and tree graphs.
Buggy, Laura, "The Energy of Graphs" (2010). Honors Theses. 187.