Some relations on the ordering of trees by minimal energies between subclasses of trees

DOI10.1007/s12190-013-0714-9zbMath1296.05124OpenAlexW2090205426MaRDI QIDQ2511449

Hongping Ma

Publication date: 5 August 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-013-0714-9

zbMATH Keywords

treediametercharacteristic polynomialminimal energypendent vertex

Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35) Applications of graph theory (05C90) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (2)

On ordering of complements of graphs with respect to matching numbers ⋮ Solutions to unsolved problems on the minimal energies of two classes of trees

Cites Work

• Minimal energies of trees with given parameters
• On the maximal energy tree with two maximum degree vertices
• On the minimal energy of trees with a given diameter
• Maximum energy trees with two maximum degree vertices
• Minimum energy on trees with \(k\) pendent vertices
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• Chemical trees minimizing energy and Hosoya index
• Ordering of the trees with a perfect matching by minimal energies
• On the ordering of graphs with respect to their matching numbers
• On acyclic conjugated molecules with minimal energies
• On minimal energy ordering of acyclic conjugated molecules
• The proof of a conjecture on the comparison of the energies of trees
• On minimal energies of trees of a prescribed diameter
• Graph Energy
• On minimal energies of trees with given diameter
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