On the least \(Q\)-eigenvalue of a non-bipartite Hamiltonian graph

DOI10.1016/J.LAA.2017.10.012zbMath1374.05157OpenAlexW2766391933MaRDI QIDQ1680292

Shu-Guang Guo, Rong Zhang

Publication date: 15 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.10.012

zbMATH Keywords

lower boundHamiltonian graphsignless Laplacianleast eigenvalue

Mathematics Subject Classification ID

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

Related Items (5)

Maximizing the least Q-eigenvalue of a unicyclic graph with perfect matchings ⋮ Least \(Q\)-eigenvalues of nonbipartite 2-connected graphs ⋮ On the least eigenvalue of \(A_\alpha \)-matrix of graphs ⋮ Further results on the least Q-eigenvalue of a graph with fixed domination number ⋮ Bounds on signless Laplacian eigenvalues of Hamiltonian graphs

Cites Work

• Unnamed Item
• Unnamed Item
• The domination number and the least \(Q\)-eigenvalue
• The least eigenvalue of signless Laplacian of non-bipartite graphs with given domination number
• A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph
• Hamilton cycles and eigenvalues of graphs
• The least eigenvalues of the signless Laplacian of non-bipartite graphs with pendant vertices
• The least signless Laplacian eigenvalue of non-bipartite graphs with given stability number
• The least eigenvalue of signless Laplacian of graphs under perturbation
• The least eigenvalue of the signless Laplacian of the complements of trees
• The smallest signless Laplacian eigenvalue of graphs under perturbation
• Quadratic forms on graphs with application to minimizing the least eigenvalue of signless Laplacian over bicyclic graphs
• On the least signless Laplacian eigenvalues of some graphs

This page was built for publication: On the least \(Q\)-eigenvalue of a non-bipartite Hamiltonian graph