|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||Abstract:||
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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