On the spectral radius of unicyclic graphs with fixed diameter

DOI10.1016/j.laa.2006.08.002zbMath1108.05063OpenAlexW2294689978MaRDI QIDQ861007

Feng Tian, Mei Lu, Huiqing Liu

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.08.002

Mathematics Subject Classification ID

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

Related Items (15)

On the \(\alpha\)-spectral radius of unicyclic and bicyclic graphs with a fixed diameter ⋮ On the \(\alpha\)-index of minimally 2-connected graphs with given order or size ⋮ Unimodality of principal eigenvector and its applications ⋮ On the spectral radius of trees with given independence number ⋮ On the spectral radius of quasi-tree graphs ⋮ On the (signless Laplacian) spectral radius of minimally \(k\)-(edge)-connected graphs for small \(k\) ⋮ The minimum Wiener index of unicyclic graphs with a fixed diameter ⋮ Minimizing the least eigenvalue of unicyclic graphs with fixed diameter ⋮ On the spectral radius of bipartite graphs with given diameter ⋮ On the spectral radius of tricyclic graphs with a fixed diameter ⋮ Extremal problems involving the two largest complementarity eigenvalues of a graph ⋮ SPECTRAL RADII OF UNICYCLIC GRAPHS WITH FIXED NUMBER OF CUT VERTICES ⋮ ON THE SECOND LARGEST SPECTRAL RADIUS OF UNICYCLIC BIPARTITE GRAPHS ⋮ On the spectral radius of weighted unicyclic graphs with a positive weight set ⋮ On the maximal-adjacency-spectrum unicyclic graphs with given maximum degree

Cites Work

• On the spectral radius of trees with fixed diameter
• Bounds on the largest eigenvalues of trees with a given size of matching
• On the spectral radius of unicyclic graphs with perfect matchings
• 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
• The spectral radius of unicyclic and bicyclic graphs with \(n\) vertices and \(k\) pendant vertices
• The largest eigenvalue of a graph: A survey
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