Degree maximal graphs are Laplacian integral

From MaRDI portal
Publication:1322880

DOI10.1016/0024-3795(94)90361-1zbMath0795.05091OpenAlexW2008194408MaRDI QIDQ1322880

Russell Merris

Publication date: 11 September 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90361-1




Related Items (max. 100)

Split graphsTuring instability in reaction-diffusion models on complex networksOn the minimum number of distinct eigenvalues of a threshold graphRank one perturbation and its application to the laplacian spectrum of a graphSeidel spectrum of threshold graphsDistribution of Laplacian eigenvalues of graphsOn Spectral Integral Variations of GraphsMaximum Laplacian energy among threshold graphsLaplacian integral graphs with a given degree sequence constraintSpectral threshold dominance, Brouwer's conjecture and maximality of Laplacian energyMaximizing spectral radii of uniform hypergraphs with few edgesControllability of the multi-agent system modeled by the threshold graph with one repeated degreeSpanning tree enumeration and nearly triangular graph LaplaciansOn signless Laplacian spectrum of the zero divisor graphs of the ring $\mathbb{Z}_{n}$Constructably Laplacian integral graphsOld and new results on algebraic connectivity of graphsLaplacian integral graphs in \(S(a, b)\)On the von Neumann entropy of a graphHyper-Hamiltonicity in graphs: some sufficient conditionsConstructing a controllable graph under edge constraintsOn hyper-Hamiltonicity in graphsUnnamed ItemTheorems on partitioned matrices revisited and their applications to graph spectraOn the full Brouwer's Laplacian spectrum conjectureSigned graphs whose all Laplacian eigenvalues are mainA survey of graph laplaciansOn integer matrices with integer eigenvalues and Laplacian integral graphsThe \(q\)-analogue of zero forcing for certain families of graphsOn the Laplacian and signless Laplacian polynomials of graphs with semiregular automorphismsChain graph sequences and Laplacian spectra of chain graphsLaplacian eigenvalues of equivalent cographsGraphs of fixed order and size with maximal \(A_\alpha\)-indexConnected graphs of fixed order and size with maximal \(A_\alpha \)-index: the one-dominating-vertex caseLaplacian spectra of cographs: a twin reduction perspectiveStrictly chordal graphs: structural properties and integer Laplacian eigenvaluesIntegral Laplacian graphs with a unique repeated Laplacian eigenvalue. INordhaus-Gaddum type inequalities for the \(k\)th largest Laplacian eigenvaluesOn spectral integral variations of mixed graphsFactorizations of some weighted spanning tree enumeratorsQ-integral unicyclic, bicyclic and tricyclic graphsEigenvalues of a special kind of symmetric block circulant matricesThe sharpness of a lower bound on the algebraic connectivity for maximal graphsOn the Ky Fan $k$-norm of the $LI$-matrix of graphsUnoriented Laplacian maximizing graphs are degree maximalOn graphs with three distinct Laplacian eigenvaluesThe Laplacian energy of threshold graphs and majorizationExtremal Laplacian energy of threshold graphsOn the spectra of simplicial rook graphsRelations between degrees, conjugate degrees and graph energiesLarge families of laplacian isospectral graphsIndecomposable Laplacian integral graphsA survey of automated conjectures in spectral graph theoryOn the Seidel integral complete multipartite graphsConnected graphs with maximal \(Q\)-index: The one-dominating-vertex caseUnnamed ItemCompletion of Laplacian integral graphs via edge additionGraphs with maximal signless Laplacian spectral radiusOn the reduced signless Laplacian spectrum of a degree maximal graphDoubly stochastic graph matrices, IIOn graphs with equal algebraic and vertex connectivityContinuous-time quantum walks on the threshold network modelLinear Algebraic Techniques for Spanning Tree EnumerationA note on Merris' conjecturesOn Laplacian energy of non-commuting graphs of finite groupsLaplacian spectrum of weakly quasi-threshold graphsSpectral Integral Variations of Degree Maximal GraphsOn the Laplacian integral tricyclic graphsLaplacian integrality in \(P_4\)-sparse and \(P_4\)-extendible graphsBlock-indifference graphs: characterization, structural and spectral propertiesLinear algebraic techniques for weighted spanning tree enumerationThreshold graphs of maximal Laplacian energyOn distance Laplacian spectrum (energy) of graphsLaplacian graph eigenvectorsFiedler vectors with unbalanced sign patternsA Note on degree antiregular graphsMaximal graphs and graphs with maximal spectral radiusVarious Energies of Commuting Graphs of Finite Nonabelian GroupsShifted simplicial complexes are Laplacian integralThe critical group of a threshold graph



Cites Work


This page was built for publication: Degree maximal graphs are Laplacian integral