The spectral characterization of butterfly-like graphs

DOI10.1016/j.laa.2016.10.003zbMath1350.05096OpenAlexW2528625169MaRDI QIDQ344880

Yanli Zhu, Muhuo Liu, Hai-Ying Shan, Kinkar Chandra Das

Publication date: 25 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.10.003

zbMATH Keywords

signless Laplacian spectrumadjacency spectrumdetermined by spectrumwind-wheel graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12)

Related Items (12)

Monster graphs are determined by their Laplacian spectra ⋮ Signless Laplacian spectral characterization of some disjoint union of graphs ⋮ A special class of triple starlike trees characterized by Laplacian spectrum ⋮ On (distance) signless Laplacian spectra of graphs ⋮ The eccentricity spread of weak-friendship graphs ⋮ Corrigendum to: ``The spectral characterization of butterfly-like graphs ⋮ Spectral radii of friendship graphs and their connected induced subgraphs ⋮ Graphs whose second largest signless Laplacian eigenvalue does not exceed \(2+\sqrt{2}\) ⋮ Laplacian spectral characterization of (broken) dandelion graphs ⋮ Which \(Q\)-cospectral graphs have same degree sequences ⋮ Which cospectral graphs have same degree sequences ⋮ Unnamed Item

Cites Work

• Complete split graph determined by its (signless) Laplacian spectrum
• The spectral characterization of wind-wheel graphs
• On a signless Laplacian spectral characterization of \(T\)-shape trees
• Signless Laplacians of finite graphs
• On conjectures involving second largest signless Laplacian eigenvalue of graphs
• On the spectral characterizations of \(\infty \)-graphs
• Laplacian matrices of graphs: A survey
• Which graphs are determined by their spectrum?
• The Laplacian spectrum of a graph
• Some results on starlike and sunlike graphs
• A note on the second largest eigenvalue of the laplacian matrix of a graph^∗
• Some graphs determined by their (signless) Laplacian spectra
• No starlike trees are cospectral
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