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math.CO2023
A robust version of the multipartite Hajnal--Szemerédi theorem
Jie Han, Jie Hu, Donglei Yang
In this note we show the following strengthening of a multipartite version of the Hajnal--Szemerédi theorem. For an integer and , there exists a constant such t…
math.CO2023
On powers of Hamilton cycles in Ramsey-Turán Theory
Ming Chen, Jie Han, Yantao Tang +1
We prove that for with and , there exist and such that for every , every -vertex graph with $δ(G)\geq \left(1-\fr…
math.CO2023
Spanning trees in graphs without large bipartite holes
Jie Han, Jie Hu, Lidan Ping +3
We show that for any and , there exists such that for sufficiently large , every -vertex graph satisfying that $δ(G)\geq\varepsilon…