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20122023
most citedMinimum vertex degree threshold for loose Hamilton cycles in 3-uniform hypergraphs

36 citations · 224 across the 54 of their papers we have counts for

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Showing 2018Show all

6 papers · 1 filter

math.CO2018★ 3 cited

The number of Gallai k-colorings of complete graphs

Josefran de Oliveira Bastos, Fabricio S. Benevides, Jie Han

An edge coloring of the -vertex complete graph, , is a Gallai coloring if it does not contain any rainbow triangle, that is, a triangle whose edges are colored with three d…

math.CO2018★ 2 cited

The multicolour size-Ramsey number of powers of paths

Jie Han, Matthew Jenssen, Yoshiharu Kohayakawa +2

Given a positive integer , a graph is -Ramsey for a graph , denoted , if every -colouring of the edges of contains a monochromatic copy of $…

math.CO2018

Clique-factors in sparse pseudorandom graphs

Jie Han, Yoshiharu Kohayakawa, Patrick Morris +1

We prove that for any there exist constants and such that any -regular -vertex graph with and second largest eigenvalue in absolute…

math.CO2018★ 6 cited

Near-perfect clique-factors in sparse pseudorandom graphs

Jie Han, Yoshiharu Kohayakawa, Yury Person

We prove that, for any , there exists a constant such that any -regular -vertex graph with the second largest eigenvalue in absolute value~ satisfying $…

math.CO2018

Universality for bounded degree spanning trees in randomly perturbed graphs

Julia Böttcher, Jie Han, Yoshiharu Kohayakawa +3

We solve a problem of Krivelevich, Kwan and Sudakov [SIAM Journal on Discrete Mathematics 31 (2017), 155-171] concerning the threshold for the containment of all bounded degree spa…

math.CO2018★ 11 cited

Hamiltonicity in randomly perturbed hypergraphs

Jie Han, Yi Zhao

For integers and , we prove that for any , there exist and such that for sufficiently large , the union of a $k…