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- W3141712818 abstract "Wang, Yuan and Liu cite{Wang} conjectured that if $G$ is a $r$-regular graph with $Xsubset V(G)$ as a star set for a non-main eigenvalue $mu$ such that $G-X=overline{sK_1cup K_t}$ $(s,tgeq 2)$, then $mu=-2$, $t=2$ and $G=overline{(s+1)K_2}$. In this paper, we prove that their conjecture holds when $t+mu=0$, and further discuss the case $t+mu neq 0$." @default.
- W3141712818 created "2021-04-13" @default.
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- W3141712818 date "2019-12-14" @default.
- W3141712818 modified "2023-09-27" @default.
- W3141712818 title "On a conjecture for regular graphs with complete multipartite star complement" @default.
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