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 a graph of order $n$ and $\mu$ be an adjacency eigenvalue of $G$with multiplicity $k\geq 1$. A star complement $H$ for $\mu$ in $G$ is aninduced subgraph of $G$ of order $n-k$ with no eigenvalue $\mu$, and the vertexsubset $X=V(G-H)$ is called a star set for $\mu$ in $G$. The study of starcomplements and star sets provides a strong link between graph structure andlinear algebra. In this paper, we study the regular graphs with $K_{t,s}\(s\geq t\geq 2)$ as a star complement for an eigenvalue $\mu$, especially,characterize the case of $t=3$ completely, obtain some properties when $t=s$,and propose some problems for further study.

Regular graphs with a complete bipartite graph as a star complement