The proof of a conjecture on the comparison of the energies of trees

DOI10.1007/s10910-012-0052-4zbMath1308.05075OpenAlexW2078725828WikidataQ122940728 ScholiaQ122940728MaRDI QIDQ1934319

Hai-Ying Shan, Jia-yu Shao

Publication date: 28 January 2013

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-0052-4

zbMATH Keywords

energybipartite graphquasi-ordering\(k\)-claw attaching operation

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (10)

Minimal skew energy of oriented unicyclic graphs with a perfect matching ⋮ The minimum exponential atom-bond connectivity energy of trees ⋮ On the minimal matching energies of unicyclic graphs ⋮ Solutions to unsolved problems on the minimal energies of two classes of trees ⋮ Two subgraph grafting theorems on the energy of bipartite graphs ⋮ The minimal randić energy of trees with given diameter ⋮ The minimum ABC energy of trees ⋮ Some relations on the ordering of trees by minimal energies between subclasses of trees ⋮ The maximal geometric-arithmetic energy of trees with at most two branched vertices ⋮ On the inverse sum indeg energy of trees

Cites Work

• Ordering of the trees by minimal energies
• On minimal energies of trees with given diameter
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