Sharp bounds for the largest eigenvalue

Abstract

We generalize the classical sharp bounds for the largest eigenvalue of the normalized Laplace operator, $\frac{N}{N-1}\le {\lambda }_N\le 2$, to the case of chemical hypergraphs.

References in corpus (3)

• Coupled Dynamics on Hypergraphs: Master Stability of Steady States and Synchronization
• An Oriented Hypergraphic Approach to Algebraic Graph Theory
• Spectral Properties of Oriented Hypergraphs

Cited by in corpus (6)

• Spectral Theory of Laplace Operators on Oriented Hypergraphs
• $p$-Laplace Operators for Oriented Hypergraphs
• Normalized Laplace Operators for Hypergraphs with Real Coefficients
• Coloring the normalized Laplacian for oriented hypergraphs
• A Cheeger Cut for Uniform Hypergraphs
• Geometry and symmetry in biochemical reaction systems