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P´ eter Csikv´ ari · 2009

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Strengthened upper bound on the third eigenvalue of graphs

math.CO · 2025-01-13 · conditional · novelty 7.0

Proves that λ3/n < 1/(2√2) - ε for some positive ε, i.e., Nikiforov's unproved strict bound for k=3, via a new graph operation and an analysis of the two smallest eigenvalues.

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  • Strengthened upper bound on the third eigenvalue of graphs math.CO · 2025-01-13 · conditional · none · ref 4

    Proves that λ3/n < 1/(2√2) - ε for some positive ε, i.e., Nikiforov's unproved strict bound for k=3, via a new graph operation and an analysis of the two smallest eigenvalues.