Quadratic forms on graphs with application to minimizing the least eigenvalue of signless Laplacian over bicyclic graphs

DOI10.13001/1081-3810.1614zbMath1288.05168OpenAlexW166965243MaRDI QIDQ5413926

Gui-Dong Yu, Yi Wang, Yi-Zheng Fan

Publication date: 2 May 2014

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2d2a551d271e5ac3ae2c2e863062a3a9f3415562

zbMATH Keywords

quadratic formsignless Laplacianleast eigenvaluebicyclic graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (8)

A lower bound for the algebraic connectivity of a graph in terms of the domination number ⋮ Ordering non-bipartite unicyclic graphs with pendant vertices by the least \(Q\)-eigenvalue ⋮ Maximizing the least Q-eigenvalue of a unicyclic graph with perfect matchings ⋮ On the least \(Q\)-eigenvalue of a non-bipartite Hamiltonian graph ⋮ The least signless Laplacian eignvalue of the complements of unicyclic graphs ⋮ On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree ⋮ Signed bicyclic graphs minimizing the least Laplacian eigenvalue ⋮ The least eigenvalue of graphs whose complements have only two pendent vertices

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