Analytic connectivity of $k$-uniform hypergraphs

Abstract

In this paper, we study the analytic connectivity of a $k$-uniform hypergraph $H$, denoted by $\alpha (H)$. In addition to computing the analytic connectivity of a complete $k$-graph, we present several bounds on analytic connectivity that relate it with other graph invariants, such as degree, vertex connectivity, diameter, and isoperimetric number.

15 pages

References in corpus (2)

• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• H${}^{+}$-Eigenvalues of Laplacian and Signless Laplacian Tensors

Cited by in corpus (2)

• On the spectral radius of nonregular uniform hypergraphs
• Characterization Tensors of Balanced Incomplete Block Designs