On incidence energy of a graph
From MaRDI portal
Publication:837002
DOI10.1016/j.laa.2009.04.019zbMath1175.05084OpenAlexW2036527841MaRDI QIDQ837002
Ivan Gutman, Maryam Mirzakhah, Dariush Kiani, Bo Zhou
Publication date: 10 September 2009
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2009.04.019
incidence matrixgraph spectrumNordhaus-Gaddum resultsincidence energy of a graphLaplacian matrix of agraphsignless Laplacian matrix of a graphsingular value of a matrix
Applications of graph theory (05C90) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)
Related Items
Some bounds on the distance-sum-connectivity matrix ⋮ Unnamed Item ⋮ Bounds for incidence energy of some graphs ⋮ A relation between the Laplacian and signless Laplacian eigenvalues of a graph ⋮ The normalized incidence energy of a graph ⋮ The atom-bond connectivity index of chemical bicyclic graphs ⋮ A sharp upper bound on the incidence energy of graphs in terms of connectivity ⋮ Energy, Laplacian energy of double graphs and new families of equienergetic graphs ⋮ Some new results on energy of graphs with self loops ⋮ On spectra of variants of the corona of two graphs and some new equienergetic graphs ⋮ On the Laplacian coefficients of graphs under some transformations ⋮ On the Laplacian-energy-like invariant ⋮ On matrices associated to directed graphs and applications ⋮ Some results on signless Laplacian coefficients of graphs ⋮ A decreasing sequence of upper bounds for the Laplacian energy of a tree ⋮ On incidence energy of graphs ⋮ 3-regular digraphs with optimum skew energy ⋮ On the Laplacian coefficients of trees with a perfect matching ⋮ On the incidence energy of some toroidal lattices ⋮ Asymptotic values of four Laplacian-type energies for matrices with degree-distance-based entries of random graphs ⋮ Upper bounds for some graph energies ⋮ A unified approach to the asymptotic topological indices of various lattices ⋮ Relations between degrees, conjugate degrees and graph energies ⋮ On the normalized Laplacian energy and general Randić index \(R_{-1}\) of graphs ⋮ Ordering of trees with fixed matching number by the Laplacian coefficients ⋮ Energy of unitary Cayley graphs and gcd-graphs ⋮ On maximal energy of line graphs with given parameters ⋮ Trees with minimal Laplacian coefficients ⋮ Asymptotic incidence energy of lattices ⋮ Some improved bounds on two energy-like invariants of some derived graphs ⋮ Energy of line graphs ⋮ On two energy-like invariants of line graphs and related graph operations ⋮ Laplacian coefficients of trees with given number of leaves or vertices of degree two ⋮ RANDIC INCIDENCE ENERGY OF GRAPHS ⋮ Beyond graph energy: norms of graphs and matrices ⋮ On the sum of powers of Laplacian eigenvalues of bipartite graphs ⋮ On the sum of powers of Laplacian eigenvalues of bipartite graphs ⋮ More inequalities for Laplacian indices by way of majorization ⋮ Unnamed Item ⋮ On relations between Kirchhoff index, Laplacian energy, Laplacian-energy-like invariant and degree deviation of graphs ⋮ Energies of Hypergraphs ⋮ On the bounds for signless Laplacian energy of a graph
Cites Work
- The energy of graphs and matrices
- Signless Laplacians of finite graphs
- On graphs whose energy exceeds the number of vertices
- On the Laplacian coefficients of unicyclic graphs
- The lollipop graph is determined by its \(Q\)-spectrum
- Laplacian matrices of graphs: A survey
- Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrices of trees
- On Complementary Graphs
- A connection between ordinary and Laplacian spectra of bipartite graphs
- A survey of graph laplacians
- On sum of powers of the Laplacian eigenvalues of graphs
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item