Maximum Laplacian energy of unicyclic graphs

DOI10.1016/j.dam.2016.10.023zbMath1352.05110OpenAlexW2558387160MaRDI QIDQ730488

Vilmar Trevisan, Lucélia Kowalski Pinheiro, Eliseu Fritscher, Kinkar Chandra Das

Publication date: 28 December 2016

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2016.10.023

zbMATH Keywords

Laplacian matrixLaplacian energysignless Laplacian energyunicyclic graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Connectivity (05C40)

Related Items (8)

Iota energy orderings of bicyclic signed digraphs ⋮ Further developments on Brouwer's conjecture for the sum of Laplacian eigenvalues of graphs ⋮ Maximality of the signless Laplacian energy ⋮ On the sum of \(k\) largest Laplacian eigenvalues of a graph and clique number ⋮ Oriented bipartite graphs with minimal trace norm ⋮ On the ordering of bicyclic digraphs with respect to energy and iota energy ⋮ On Laplacian energy, Laplacian-energy-like invariant and Kirchhoff index of graphs ⋮ Extremal Laplacian energy of directed trees, unicyclic digraphs and bicyclic digraphs

Uses Software

• SageMath

Cites Work

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• Distribution of Laplacian eigenvalues of graphs
• On the distribution of Laplacian eigenvalues of trees
• On the Laplacian eigenvalues of a graph and Laplacian energy
• On the distribution of Laplacian eigenvalues of a graph
• On Laplacian energy in terms of graph invariants
• Hamilton cycles and eigenvalues of graphs
• On the sum of the Laplacian eigenvalues of a tree
• Characterizing trees with large Laplacian energy
• Exploring Symmetries to Decompose Matrices and Graphs Preserving the Spectrum
• The Laplacian Spectrum of a Graph

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