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math.CO2022
The maximum number of cliques in graphs with bounded odd circumference
Zequn Lv, Ervin Győri, Zhen He +3
In this work, we give the sharp upper bound for the number of cliques in graphs with bounded odd circumferences. This generalized Turán-type result is an extension of the celebrate…
math.CO2022
Exact results for generalized extremal problems forbidding an even cycle
Ervin Győri, Zhen He, Zequn Lv +4
We determine the maximum number of copies of in a -free -vertex graph for all integers and sufficiently large . Moreover, for and…
math.CO2022★ 1 cited
Stability version of Dirac's theorem and its applications for generalized Turán problems
Xiutao Zhu, Ervin Győri, Zhen He +3
In 1952, Dirac proved that every -connected -vertex graph with the minimum degree contains a cycle of length at least . Here we obtain a stability ve…