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math.CO2025
The -spectral Turán type problems for graphs
Jiadong Wu, Yongchun Lu, Liying Kang
For , the -spectral radius of a graph is defined as the largest eigenvalue of , where and are the diagonal matrix of degre…
math.CO2025
Spectral extremal problems for degenerate graphs
Jiadong Wu, Liying Kang, Zhenyu Ni
A family of graphs is called degenerate if it contains at least one bipartite graph. In this paper, we investigate the spectral extremal problems for a degenerate family of graphs…
math.CO2025
On generalized Tur{á}n problems with bounded matching number and circumference
Yongchun Lu, Liying Kang, Yisai Xue
Let \( \mathcal{F} \) be a family of graphs. The generalized Turán number \( \operatorname{ex}(n, K_r, \mathcal{F}) \) is the maximum number of in an \( n \)-vertex graph tha…