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math.CO2024
Induced even cycles in locally sparse graphs
Laihao Ding, Jun Gao, Hong Liu +2
A graph is -sparse if for every pair of vertex subsets with , . In this paper we prove that for every and…
math.CO2024
Phase transition of degenerate Turán problems in -norms
Jun Gao, Xizhi Liu, Jie Ma +1
For a positive real number , the -norm of a graph is the sum of the -th powers of all vertex degrees. We study the maximum -norm $\ma…
math.CO2024
Generalized Ramsey--Turán density for cliques
Jun Gao, Suyun Jiang, Hong Liu +1
We study the generalized Ramsey--Turán function , which is the maximum possible number of copies of in an -vertex -free graph with indepe…