On the spectrum of an equitable quotient matrix and its application

From MaRDI portal
Publication:2002687

DOI10.1016/j.laa.2019.04.013zbMath1418.05093OpenAlexW2937426680MaRDI QIDQ2002687

Weige Xi, Man Yang, Wa-Sin So, Lihua You

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.04.013




Related Items (47)

Fractional matching number and spectral radius of nonnegative matrices of graphsOn the Aα-spectrum of joined union of digraphsOn the \(A_\sigma\)-spectral radii of graphs with some given parametersA spectral condition for the existence of the square of a pathOn the eigenvalues of eccentricity matrix of graphsEdge-connectivity matrices and their spectraOn the Aα spectral radius of digraphs with given parametersThe maximum \(A_\alpha\)-spectral radius of \(t\)-connected graphs with bounded matching numberSpectral radius and fractional perfect matchings in graphsThe maximum spectral radius of \(\{C_3, C_5\}\)-free graphs of given sizeOn the \(A_\alpha \)-spectral radius of graphs with given sizeExtensions on spectral extrema of \(C_5/C_6\)-free graphs with given sizeMixed graphs whose Hermitian adjacency matrices of the second kind have the smallest eigenvalue greater than \(- \frac{3}{2}\)Refinement on Spectral Turán’s TheoremON THE SIZE, SPECTRAL RADIUS, DISTANCE SPECTRAL RADIUS AND FRACTIONAL MATCHINGS IN GRAPHSUnnamed ItemTwo sufficient conditions for odd \([1,b\)-factors in graphs] ⋮ Bipartite graphs with all but two eigenvalues equal to \(0\) and \(\pm 1\)Some sufficient conditions for a graph with minimum degree to be \(k\)-factor-criticalComplete characterization of the bidegreed split graphs with three or four distinct \(A_{\alpha}\)-eigenvaluesThe signless Laplacian spectral radius of graphs with a prescribed number of edgesConnected graphs of fixed order and size with maximal \(A_\alpha \)-index: the one-dominating-vertex caseSharp bounds on the \(A_{\alpha}\)-index of graphs in terms of the independence numberComplete characterization of path-factor and path-factor covered graphs via Q -index and D -indexOn the relationship between shortlex order and \(A_\alpha \)-spectral radii of graphs with starlike branch treeSignless Laplacian spectrum of a graphCharacterizing \(\mathcal{P}_{\geqslant 2}\)-factor deleted graphs with respect to the size or the spectral radiusSpectra of partitioned matrices and the \(\mathcal{M}\)-join of graphsMatching extension and matching exclusion via the size or the spectral radius of graphs\(\mathcal{D}\)-index and \(\mathcal{Q}\)-index for spanning trees with leaf degree at most \(k\) in graphsThe \(A_\alpha\)-spectral radius for path-factors in graphsSome interlacing results on weighted adjacency matrices of graphs with degree-based edge-weightsUnnamed ItemUnnamed ItemEnergy and inertia of the eccentricity matrix of coalescence of graphsCharacterizing \(\mathcal{P}_{\geqslant 2} \)-factor and \(\mathcal{P}_{\geqslant 2} \)-factor covered graphs with respect to the size or the spectral radiusThe \(A_\alpha\)-spectral radius and perfect matchings of graphsOn the distance spectral radius of digraphs with given diameterA spectral condition for the existence of a pentagon in non-bipartite graphsA Cvetković-type theorem for coloring of digraphsOn real or integral skew Laplacian spectrum of digraphsUniversal adjacency spectrum of the looped zero divisor graph of \(\mathbb{Z}_n\)Signless Laplacian spectral radius and fractional matchings in graphsOn the minimal \(\mathcal{D}_\alpha -\) spectral radius of graphs subject to fixed connectivityOn the \(A_\alpha\)-spectral radius of graphs without large matchingsCharacterizing star factors via the size, the spectral radius or the distance spectral radius of graphsAα-spectral radius and measures of graph irregularity



Cites Work


This page was built for publication: On the spectrum of an equitable quotient matrix and its application