On the normalized Laplacian energy and general Randić index \(R_{-1}\) of graphs
From MaRDI portal
Publication:972793
DOI10.1016/j.laa.2010.02.002zbMath1217.05138OpenAlexW2137496495MaRDI QIDQ972793
Stephen J. Kirkland, Michael S. Cavers, Shaun M. Fallat
Publication date: 21 May 2010
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2010.02.002
Applications of graph theory (05C90) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)
Related Items (59)
Some remarks on the sum of the inverse values of the normalized signless Laplacian eigenvalues of graphs ⋮ Some Degree-Based Topological Indices and (Normalized Laplacian) Energy of Graphs ⋮ On the normalized Laplacian spectral radii of a graph and its line graph ⋮ The normalized Laplacians, degree-Kirchhoff index and the spanning trees of linear hexagonal chains ⋮ An Improved Lower Bound for the Degree Kirchhoff Index of Bipartite Graphs ⋮ Bounds on graph energy and Randic energy ⋮ On ABC eigenvalues and ABC energy ⋮ Unnamed Item ⋮ Bounding the \(HL\)-index of a graph: a majorization approach ⋮ On graphs with three distinct signless Laplacian eigenvalues ⋮ On the normalized Laplacian spectrum of the comaximal graphs ⋮ Bounds on the \(ABC\) spectral radius and \(ABC\) energy of graphs ⋮ New bounds for the Randić index of graphs ⋮ The asymptotic behavior of (degree-)Kirchhoff indices of iterated total graphs of regular graphs ⋮ The normalized incidence energy of a graph ⋮ Ky Fan theorem applied to Randić energy ⋮ The normalized Laplacians on both \(k\)-triangle graph and \(k\)-quadrilateral graph with their applications ⋮ On sum of powers of normalized Laplacian eigenvalues and resistance distances of graphs ⋮ A geometric construction of isospectral magnetic graphs ⋮ On normalized Laplacian eigenvalues of power graphs associated to finite cyclic groups ⋮ Asymptotic Distribution of Degree-Based Topological Indices ⋮ NORMALIZED LAPLACIAN ENERGY AND NORMALIZED LAPLACIAN-ENERGY-LIKE INVARIANT OF SOME DERIVED GRAPHS ⋮ The normalized Laplacian spectrum of n -polygon graphs and applications ⋮ Sharp inequalities for the atom-bond (sum) connectivity index ⋮ On arithmetic-geometric and geometric-arithmetic indices of graphs ⋮ The Laplacian incidence energy of graphs ⋮ On Randić energy ⋮ On the normalized Laplacians with some classical parameters involving graph transformations ⋮ Randić index and information ⋮ Characteristics polynomial of normalized Laplacian for trees ⋮ Upper bounds for some graph energies ⋮ The general Randić index of trees with given number of pendent vertices ⋮ On the spectrum of the normalized Laplacian of iterated triangulations of graphs ⋮ Energy of matrices ⋮ Unnamed Item ⋮ Beyond the Zagreb indices ⋮ The trees with the second smallest normalized Laplacian eigenvalue at least \(1-\frac{\sqrt{3}}{2}\) ⋮ On the Normalized Laplacian Spectrum of Some Graphs ⋮ On the Randić incidence energy of graphs ⋮ Some new lower bounds for augmented Zagreb index ⋮ Graphs whose normalized Laplacian has three eigenvalues ⋮ On the normalized spectrum of threshold graphs ⋮ Bounds for the energy of weighted graphs ⋮ The normalized Laplacian polynomial of rooted product of graphs ⋮ Calculating the normalized Laplacian spectrum and the number of spanning trees of linear pentagonal chains ⋮ Degree-based energies of graphs ⋮ Skew Randi'c matrix and skew Randi'c energy ⋮ On Energy and Laplacian Energy of Graphs ⋮ On the degree-based topological indices of the tickysim SpiNNAKER model ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the normalized Laplacian spectral radius, Laplacian incidence energy and Kemeny's constant ⋮ On the normalized distance Laplacian eigenvalues of graphs ⋮ A note on normalized Laplacian energy of graphs ⋮ Exploring symmetries in cographs: obtaining spectra and energies ⋮ Upper bound on Randić energy of some graphs ⋮ Inequalities for real number sequences with applications in spectral graph theory ⋮ On the inverse sum indeg energy of trees ⋮ Extremal trees for the general Randić index with a given domination number
Cites Work
- Laplacian energy of a graph
- On incidence energy of a graph
- The energy of graphs and matrices
- Edge addition, singular values, and energy of graphs and matrices
- Bounds on Randić indices
- Matrix Analysis
- [https://portal.mardi4nfdi.de/wiki/Publication:4337503 Open problems of Paul Erd�s in graph theory]
- Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the normalized Laplacian energy and general Randić index \(R_{-1}\) of graphs
