Abstract
The minimal energy of unicyclic Hückel molecular graphs with Kekulé structures, i.e., unicyclic graphs with perfect matchings, of which all vertices have degrees less than four in graph theory, is investigated. The set of these graphs is denoted by \(\mathcal{H}_n^l\) such that for any graph in \(\mathcal{H}_n^l\), n is the number of vertices of the graph and l the number of vertices of the cycle contained in the graph. For a given n(n ≥ 6), the graphs with minimal energy of \(\mathcal{H}_n^l\) have been discussed.
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MSC 2000: 05C17, 05C35
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Wang, WH., Chang, A., Zhang, LZ. et al. Unicyclic Hückel molecular graphs with minimal energy. J Math Chem 39, 231–241 (2006). https://doi.org/10.1007/s10910-005-9022-4
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DOI: https://doi.org/10.1007/s10910-005-9022-4