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math.CO2026
Supersaturation in Nosal graphs: Triangles and books
Hongzhang Chen, Yongtao Li, Quanyu Tang
In this paper, we use the spectral surplus to measure how far lies above the Nosal threshold, and prove the following edge-spectral supersaturation results fo…
math.CO2026
Path-Minimality of -Energy for Connected Graphs
Yinchen Liu, Quanyu Tang
Let be a simple connected graph on vertices, and let be the eigenvalues of its adjacency matrix . For , define the -energy of $G…