activity
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 2020Show all

7 papers · 1 filter

math.CO2020

Turán and Ramsey numbers for -uniform minimal paths of length

Jie Han, Joanna Polcyn, Andrzej Ruciński

We determine Turán numbers for the family of 3-uniform minimal paths of length four \emph{for all }. We also establish the second and third order Turán numbers and use them to c…

math.CO2020★ 1 cited

Factors in randomly perturbed hypergraphs

Yulin Chang, Jie Han, Yoshiharu Kohayakawa +2

We determine, up to a multiplicative constant, the optimal number of random edges that need to be added to a -graph with minimum vertex degree to ensure an -…

math.CO2020★ 1 cited

On powers of tight Hamilton cycles in randomly perturbed hypergraphs

Yulin Chang, Jie Han, Lubos Thoma

For integers and , we show that for every , there exists such that the union of -uniform hypergraph on vertices with minimum code…

math.CO2020★ 1 cited

Hamiltonicity in Cherry-quasirandom 3-graphs

Luyining Gan, Jie Han

We show that for any fixed , cherry-quasirandom 3-graphs of positive density and sufficiently large order with minimum vertex degree have a tight Hamilton cyc…

math.CO2020

Cover 3-uniform hypergraphs by vertex-disjoint tight paths

Jie Han

Let be an -vertex 3-uniform hypergraph such that every pair of vertices is in at least edges. We show that contains two vertex-disjoint tight paths whose unio…

math.CO2020

Minimum degree thresholds for Hamilton -cycles in -uniform hypergraphs

Hiep Han, Jie Han, Yi Zhao

For any even integer , integer such that , and sufficiently large , we find a tight minimum -degree condition that guarantees t…

math.CO2020

Factors and loose Hamilton cycles in sparse pseudo-random hypergraphs

Hiep Hàn, Jie Han, Patrick Morris

We investigate the emergence of spanning structures in sparse pseudo-random -uniform hypergraphs, using the following comparatively weak notion of pseudo-randomness. A -unifo…