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- W4294753505 abstract "A classic result in extremal graph theory, known as Mantel's theorem, states that every non-bipartite graph of order $n$ with size $m>lfloor frac{n^{2}}{4}rfloor$ contains a triangle. Lin, Ning and Wu [Comb. Probab. Comput. 30 (2021) 258-270] proved a spectral version of Mantel's theorem for given order $n.$ Zhai and Shu [Discrete Math. 345 (2022) 112630] investigated a spectral version for fixed size $m.$ In this paper, we prove $Q$-spectral versions of Mantel's theorem." @default.
- W4294753505 created "2022-09-06" @default.
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- W4294753505 date "2022-09-01" @default.
- W4294753505 modified "2023-09-30" @default.
- W4294753505 title "Maxima of the $Q$-index of non-bipartite $C_{3}$-free graphs" @default.
- W4294753505 doi "https://doi.org/10.48550/arxiv.2209.00801" @default.
- W4294753505 hasPublicationYear "2022" @default.
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