Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For 1 ź d ź ź < k ,  give a new lor bound for the minimum d-degree threshold that guarantees a Hamilton ź-cycle in k-uniform hypergraphs. When k ź 4 and d < ź = k - 1 , this bound is larger than the conjectured minimum d-degree threshold for perfect matchings and thus disproves a ll-known conjecture of Rodl and Rucinski. Our (simple) construction generalizes a construction of Katona and Kierstead and the space barrier for Hamilton cycles.
['Jie Han', 'Yi Zhao']
I am writing a research paper on a idea Forbidding Hamilton cycles in uniform hypergraphs
[{"from": "human", "value": "I am writing a research paper on a idea Forbidding Hamilton cycles in uniform hypergraphs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For 1 \u017a d \u017a \u017a < k ,  give a new lor bound for the minimum d-degree threshold that guarantees a Hamilton \u017a-cycle in k-uniform hypergraphs. When k \u017a 4 and d < \u017a = k - 1 , this bound is larger than the conjectured minimum d-degree threshold for perfect matchings and thus disproves a ll-known conjecture of Rodl and Rucinski. Our (simple) construction generalizes a construction of Katona and Kierstead and the space barrier for Hamilton cycles."}]