Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  determine the maximum number of induced cycles that can be contained in a graph on   n≥n 0      n  ≥    n    0          vertices, and show that there is a unique graph that achieves this maximum. This ansrs a question of Chvatal and Tuza from the 1980s.  also determine the maximum number of odd or even induced cycles that can be contained in a graph on   n≥n 0      n  ≥    n    0          vertices and characterise the extremal graphs. This resolves a conjecture of Chvatal and Tuza from 1988.
['Natasha Morrison', 'Alex Scott']
I am writing a research paper on a idea Maximising the number of induced cycles in a graph
[{"from": "human", "value": "I am writing a research paper on a idea Maximising the number of induced cycles in a graph"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  determine the maximum number of induced cycles that can be contained in a graph on   n\u2265n 0      n  \u2265    n    0          vertices, and show that there is a unique graph that achieves this maximum. This ansrs a question of Chvatal and Tuza from the 1980s.  also determine the maximum number of odd or even induced cycles that can be contained in a graph on   n\u2265n 0      n  \u2265    n    0          vertices and characterise the extremal graphs. This resolves a conjecture of Chvatal and Tuza from 1988."}]