On the spectral radius of graphs with connectivity at most \(k\)

DOI10.1007/s10910-008-9465-5zbMath1310.05138OpenAlexW2084258342MaRDI QIDQ839379

Wai Hong Chan, Wai Chee Shiu, An Chang, Jian Xi Li

Publication date: 2 September 2009

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-008-9465-5

zbMATH Keywords

spectral radiusconnectivityedge-connectivityenergy levels

Mathematics Subject Classification ID

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

Related Items (8)

Spectral properties of the eccentricity matrix of graphs ⋮ The Hosoya indices and Merrifield-Simmons indices of graphs with connectivity at most \(K^{\bigstar}\) ⋮ Energy and inertia of the eccentricity matrix of coalescence of graphs ⋮ Unnamed Item ⋮ Maximum spectral radius of graphs with given connectivity, minimum degree and independence number ⋮ A note on spectral radius and degree deviation in graphs ⋮ On the spectral radius of block graphs having all their blocks of the same size ⋮ On the minimal \(\mathcal{D}_\alpha -\) spectral radius of graphs subject to fixed connectivity

Cites Work

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• A bound on the spectral radius of graphs
• The spectral radius of trees on \(k\) pendant vertices
• On the spectral radius of graphs with cut vertices
• On the spectral radius of graphs with cut edges
• On the eigenvalues of trees
• On the Spectral Radius of Complementary Acyclic Matrices of Zeros and Ones

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