Minimal energies of trees with given parameters

DOI10.1016/j.laa.2011.10.002zbMath1241.05090OpenAlexW2033699144MaRDI QIDQ417432

Jianming Zhu

Publication date: 14 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.10.002

zbMATH Keywords

energytreeindependence numbermatching numberdomination number

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) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (6)

Bounds for incidence energy of some graphs ⋮ On the minimal matching energies of unicyclic graphs ⋮ Two subgraph grafting theorems on the energy of bipartite graphs ⋮ The minimal randić energy of trees with given diameter ⋮ Some relations on the ordering of trees by minimal energies between subclasses of trees ⋮ Domination and Spectral Graph Theory

Cites Work

• Extremal energies of trees with a given domination number
• On the maximal energy tree with two maximum degree vertices
• On the minimal energy of trees with a given diameter
• Minimum energy on trees with \(k\) pendent vertices
• On the minimal energy ordering of trees with perfect matchings
• 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 energies of trees of a prescribed diameter
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