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math.CO 1

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2025 1

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CONDITIONAL 1

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Girth and Laplacian eigenvalue distribution

math.CO · 2025-06-01 · conditional · novelty 6.0

For graphs of girth g≥4, at most n-g Laplacian eigenvalues lie in [n-g-k+4,n]; the extremal graphs for k=1,2 and the girth-3 analogues are classified.

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  • Girth and Laplacian eigenvalue distribution math.CO · 2025-06-01 · conditional · none · ref 3

    For graphs of girth g≥4, at most n-g Laplacian eigenvalues lie in [n-g-k+4,n]; the extremal graphs for k=1,2 and the girth-3 analogues are classified.