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- W4304701353 abstract "Let $G$ be a graph of order $n$ and $mu$ be an adjacency eigenvalue of $G$ with multiplicity $kgeq 1$. A star complement $H$ for $mu$ in $G$ is an induced subgraph of $G$ of order $n-k$ with no eigenvalue $mu$, and the vertex subset $X=V(G-H)$ is called a star set for $mu$ in $G$. The study of star complements and star sets provides a strong link between graph structure and linear algebra. In this paper, we study the regular graphs with $K_{t,s} (sgeq tgeq 2)$ 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." @default.
- W4304701353 created "2022-10-12" @default.
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- W4304701353 date "2022-10-09" @default.
- W4304701353 modified "2023-09-28" @default.
- W4304701353 title "Regular graphs with a complete bipartite graph as a star complement" @default.
- W4304701353 doi "https://doi.org/10.48550/arxiv.2210.04160" @default.
- W4304701353 hasPublicationYear "2022" @default.
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