On minimal energy of bipartite unicyclic graphs of a given bipartition. (Q2864446)
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scientific article; zbMATH DE number 6236445
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On minimal energy of bipartite unicyclic graphs of a given bipartition. |
scientific article; zbMATH DE number 6236445 |
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6 December 2013
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unicyclic graph
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energy of a graph
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spectrum of a graph
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bipartition
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On minimal energy of bipartite unicyclic graphs of a given bipartition. (English)
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The energy of some special finite class of bipartite unicyclic graphs is investigated. In particular, two classes of bipartite unicyclic graphs, called \(B(3,q)\) and \(H(3,q)\), are introduced, and it is proven that their energies satisfy \(E(B(3,q))>E(H(3,q))\), for each \(q=3,\dots ,217.\) Here, the energy of a graph is meant to be the sum of the absolute values of its eigenvalues.
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