Two new edge grafting operations on the energy of unicyclic graphs and their applications

DOI10.1016/j.disc.2012.07.008zbMath1252.05139OpenAlexW2018522438MaRDI QIDQ456649

Jianming Zhu

Publication date: 16 October 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2012.07.008

zbMATH Keywords

characteristic polynomialunicyclic graphsenergy of a graphgraftingsum of the eigenvalues

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (4)

Coulson-type integral formulas for the general energy of a vertex ⋮ Ordering of minimal energies in unicyclic signed graphs ⋮ Coulson-type integral formulas for the general energy of polynomials with real roots ⋮ Two subgraph grafting theorems on the energy of bipartite graphs

Cites Work

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• Energy of a polynomial and the Coulson integral formula
• Minimal energy of unicyclic graphs of a given diameter
• An edge grafting theorem on the energy of unicyclic and bipartite graphs
• Some results on energy of unicyclic graphs with \(n\) vertices
• Unicyclic graphs with minimal energy

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