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math.CO2022
Stability of generalized Turán number for linear forests
Yisai Xue, Yichong Liu, Liying Kang
Given a graph and a family of graphs , the generalized Turán number of is the maximum number of copies of in an -free graph on v…
math.CO2022
Spectral extremal graphs for disjoint cliques
Zhenyu Ni, Jing Wang, Liying Kang
The is the union of disjoint copies of -clique. Moon [Canad. J. Math. 20 (1968) 95--102] and Simonovits [Theory of Graphs (Proc. colloq., Tihany, 1996)] indep…
math.CO2022
On a conjecture of spectral extremal problems
Jing Wang, Liying Kang, Yusai Xue
For a simple graph , let and denote the set of graphs with the maximum number of edges and the set of graphs with the maximum spectra…