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.
Conjectured bounds for the sum of squares of positive eigenvalues of a graph.Discrete Math- ematics, 339(9):2215–2223, 2016
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Positive and negative 3-energies of graphs
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.