English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $G$ be connected uniform hypergraph and let $\mathcal{A}(G)$ be theadjacency tensor of $G$. The stabilizing index of $G$ is the number ofeigenvectors of $\mathcal{A}(G)$ associated with the spectral radius, and thecyclic index of $G$ is the number of eigenvalues of $\mathcal{A}(G)$ withmodulus equal to the spectral radius. Let $G_1 \odot G_2$ and $G_1 \Box G_2$ bethe coalescence and Cartesian product of connected $m$-uniform hypergraphs$G_1$ and $G_2$ respectively. In this paper, we give explicit formulas for thethe stabilizing indices and cyclic indices of $G_1 \odot G_2$ and $G_1 \BoxG_2$ in terms of those of $G_1$ and $G_2$ or the invariant divisors of theirincidence matrices over $\mathbb{Z}_m$, respectively.

The stabilizing index and cyclic index of coalescence and Cartesian product of uniform hypergraphs