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- W2950389611 abstract "For a graph $G$ of order $n$ and with eigenvalues $lambda_1geqslantcdotsgeqslantlambda_n$, the HL-index $R(G)$ is defined as $R(G) ={max}left{|lambda_{lfloor(n+1)/2rfloor}|, |lambda_{lceil(n+1)/2rceil}|right}.$ We show that for every connected bipartite graph $G$ with maximum degree $Deltageqslant3$, $R(G)leqslantsqrt{Delta-2}$ unless $G$ is the the incidence graph of a projective plane of order $Delta-1$. We also present an approach through graph covering to construct infinite families of bipartite graphs with large HL-index." @default.
- W2950389611 created "2019-06-27" @default.
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- W2950389611 date "2013-12-09" @default.
- W2950389611 modified "2023-09-27" @default.
- W2950389611 title "Median eigenvalues of bipartite graphs" @default.
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