Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A graph G is called {H"1,H"2,...,H"k}-free if G contains no induced subgraph isomorphic to any H"i, 1==(n-2)/2, then G has a Hamilton path, where K"1","4+e is a graph obtained by joining a pair of nonadjacent vertices in a K"1","4.
['Houyuan Lin', 'Jianglu Wang']
I am writing a research paper on a idea Note: Hamilton paths in {K1,4,K1,4+e}-free graphs
[{"from": "human", "value": "I am writing a research paper on a idea Note: Hamilton paths in {K1,4,K1,4+e}-free graphs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A graph G is called {H\"1,H\"2,...,H\"k}-free if G contains no induced subgraph isomorphic to any H\"i, 1==(n-2)/2, then G has a Hamilton path, where K\"1\",\"4+e is a graph obtained by joining a pair of nonadjacent vertices in a K\"1\",\"4."}]