On the maximal energy tree with two maximum degree vertices

DOI10.1016/j.laa.2011.04.029zbMath1221.05237arXiv1103.3842OpenAlexW2076872572MaRDI QIDQ551355

Yongtang Shi, Jing Li, Xue Liang Li

Publication date: 15 July 2011

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

Full work available at URL: https://arxiv.org/abs/1103.3842

zbMATH Keywords

treeCoulson integral formulagraph energy

Mathematics Subject Classification ID

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)

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Cites Work

• Solution to a conjecture on the maximal energy of bipartite bicyclic graphs
• Complete solution to a problem on the maximal energy of unicyclic bipartite graphs
• Complete solution to a conjecture on the maximal energy of unicyclic graphs
• Maximum energy trees with two maximum degree vertices
• Note on unicyclic graphs with given number of pendent vertices and minimal energy
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