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= ( 3√ 3− 3√ 9 + 1)n+ 3 3√ 9− 3√ 3−6,where 3√ 3− 3√ 9 + 1≈ 0

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math.CO 1

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2026 1

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UNVERDICTED 1

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Positive and negative 3-energies of graphs

math.CO · 2026-04-17 · unverdicted · novelty 6.0

Proves E^+_3(G) >= (sqrt(5)/2)n for connected n-vertex graphs except K1, K2, P3, and proves E^-_p(G) >= E^-_p(K_n) for all p >= 3.

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  • Positive and negative 3-energies of graphs math.CO · 2026-04-17 · unverdicted · none · ref 13

    Proves E^+_3(G) >= (sqrt(5)/2)n for connected n-vertex graphs except K1, K2, P3, and proves E^-_p(G) >= E^-_p(K_n) for all p >= 3.