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- W2024451628 abstract "In this paper it is shown that, for any odd integer t>3, the line graph L(Kt) is the unique maximal graph having the cycle Ct as a star complement for the eigenvalue −2. This result yields a characterization of L(G) for Hamiltonian graphs G with an odd number of vertices. We also show that, if t=r+s, where r and s are odd integers >1, then, provided that t≠8, L(Kt) is the unique maximal graph having Cr∪Cs as a star complement for the eigenvalue −2." @default.
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- W2024451628 date "1999-07-01" @default.
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- W2024451628 title "Characterizing line graphs by star complements" @default.
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- W2024451628 doi "https://doi.org/10.1016/s0024-3795(99)00088-9" @default.
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