On the Estrada and Laplacian Estrada indices of graphs

DOI10.1016/j.laa.2011.03.057zbMath1221.05211OpenAlexW1966087874MaRDI QIDQ551330

Zhongzhu Liu, Zhibin Du

Publication date: 15 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.03.057

zbMATH Keywords

treespectral momentsEstrada indexLaplacian estrada indexclosed walksedge grafting operation

Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (25)

Seidel-Estrada index ⋮ The many facets of the Estrada indices of graphs and networks ⋮ Spectral properties of unimodular lattice triangulations ⋮ On extremal bipartite bicyclic graphs ⋮ Spectral Radius of Graphs ⋮ Some extremal properties of the resolvent energy, Estrada and resolvent Estrada indices of graphs ⋮ Some graphs determined by their (signless) Laplacian spectra ⋮ On the \(r\)-uniform linear hypertrees with extremal Estrada indices ⋮ Maximal Estrada index of unicyclic graphs with perfect matching ⋮ On the signless Laplacian Estrada index of bicyclic graphs ⋮ Bounds of the extended Estrada index of graphs ⋮ The maximum Laplacian Estrada index of connected graphs ⋮ The Estrada index of unicyclic graphs ⋮ On maximum Estrada indices of graphs with given parameters ⋮ Tetracyclic graphs with maximal Estrada index ⋮ Laplacian spectral moment and Laplacian Estrada index of random graphs ⋮ On extremal bipartite unicyclic graphs ⋮ Graphs with the maximal Estrada indices ⋮ On the signless Laplacian Estrada index of cacti ⋮ Characterizing graphs with maximal Laplacian Estrada index ⋮ Maximum Estrada index of bicyclic graphs ⋮ On maximum signless Laplacian Estrada indices of \(k\)-trees ⋮ On the maximum Laplacian Estrada index of graphs ⋮ Tricyclic graph with maximal Estrada index ⋮ On the spectrum of linear dependence graph of a finite dimensional vector space

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