Minimum energy on trees with \(k\) pendent vertices

DOI10.1016/j.laa.2006.03.012zbMath1105.05037OpenAlexW2127709086MaRDI QIDQ855553

Xue-Zheng Lv, Ai-Mei Yu

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.03.012

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (18)

Maximum energy trees with two maximum degree vertices ⋮ The Estrada index of chemical trees ⋮ Results on energies for trees with a given diameter having perfect matching ⋮ On the number of P-vertices of some graphs ⋮ Matchings in graphs with a given number of cuts ⋮ Minimal energies of trees with given parameters ⋮ Extremal trees with fixed degree sequence ⋮ Solutions to unsolved problems on the minimal energies of two classes of trees ⋮ Two subgraph grafting theorems on the energy of bipartite graphs ⋮ On the minimal energy ordering of trees with perfect matchings ⋮ The minimal randić energy of trees with given diameter ⋮ Ordering of Hückel trees according to minimal energies ⋮ Extremal energies of trees with a given domination number ⋮ ON MAXIMAL ENERGY AND HOSOYA INDEX OF TREES WITHOUT PERFECT MATCHING ⋮ Some relations on the ordering of trees by minimal energies between subclasses of trees ⋮ Laplacian coefficients of trees with given number of leaves or vertices of degree two ⋮ On the ordering of trees by the Laplacian coefficients ⋮ Chemical trees minimizing energy and Hosoya index

Cites Work

• Laplacian energy of a graph
• On the energy of some circulant graphs
• The Merrifield - Simmons indices and Hosoya indices of trees with \(k\) pendant vertices
• Some upper bounds for the energy of graphs
• On acyclic conjugated molecules with minimal energies
• Maximal energy bipartite graphs
• Maximal energy graphs
• Unicyclic graphs with minimal energy
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