Authors: Brankov, Vladimir
Stevanović, Dragan 
Gutman, Ivan
Title: Equienergetic chemical trees
Journal: Journal of the Serbian Chemical Society
Volume: 69
Issue: 7
First page: 549
Last page: 553
Issue Date: 1-Jan-2004
Rank: M23
ISSN: 0352-5139
DOI: 10.2298/JSC0407549B
The energy E(G) of a graph G is the sum of the absolute values of the eigenvalues of G. Two graphs, G 1 and G 2 , are said to be equienergetic if E(G 1 ) = E(G 2 ). We report here the results of the search for pairs of equienergetic acyclic molecular graphs (chemical trees) with the same number n of vertices. There are very few such pairs. The smallest has n = 9 and pertains to 3,3-diethylpentane and 3-methyloctane. Among the chemical trees with n ≤ 18, only five more such pairs and a triplet were found.
Keywords: Chemical trees | Energy of graph | Equienergetic graphs | Total π-electron energy
Publisher: Serbian Chemical Society

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