Sharp Bounds for the Largest Eigenvalue
R. Mulas
Abstract
We generalize the classical sharp bounds for the largest eigenvalue of the normalized Laplace operator, $$N/(N-1)\leq \lambda_N\leq 2$$ , to the case of chemical hypergraphs.
Topics & Concepts
MathematicsEigenvalues and eigenvectorsLaplace transformApplied mathematicsUpper and lower boundsDivide-and-conquer eigenvalue algorithmCombinatoricsMathematical analysisPure mathematicsLimit (mathematics)Discrete mathematicsEigenvalue perturbationSpectrum (functional analysis)Graph theory and applicationsLimits and Structures in Graph TheoryCommutative Algebra and Its Applications