Author

Longfei Fang

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Preprint Aug 2026

Dense-core approach to the Brualdi--Hoffman--Tur\'{a}n problem on odd wheels

We present a unified presentation of the fixed-size adjacency-spectral extremal problem for odd wheels $W_{2k+1}$, where $k\geq2$ and $W_{2k+1}=K_1\vee C_{2k}$. The exceptional case $W_5$ and the general case $W_{2k+1}$, $k\ge3$, share the same dense-core reduction and edge-spectral stability, but have different rigidi...

Longfei Fang, M. Zhai, Yuhan Zhang · 2 citations · ⚡2

Preprint Aug 2026

Clique supersaturation under a chromatic constraint below the Tur\'{a}n threshold

A central theme in extremal graph theory is the supersaturation problem, which investigates the minimum number of copies of a target subgraph forced by prescribed edge conditions. This line of research goes back to Rademacher and Erd\H{o}s for triangles, and was later extended to cliques by Lov\'asz and Simonovits in t...

Benju Wang, Longfei Fang, Jinlong Shu · 0 citations