Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A petal graph is a connected graph G with maximum degree three, minimum degree two, and such that the set of vertices of degree three induces a 2‐regular graph and the set of vertices of degree two induces an empty graph.  prove here that, with the single exception of the graph obtained from the Petersen graph by deleting one vertex, all petal graphs are Class 1. This settles a particular case of a conjecture of Hilton and Zhao.
['David Cariolaro', 'Gianfranco Cariolaro']
I am writing a research paper on a idea Colouring the Petals of a Graph
[{"from": "human", "value": "I am writing a research paper on a idea Colouring the Petals of 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: A petal graph is a connected graph G with maximum degree three, minimum degree two, and such that the set of vertices of degree three induces a 2\u2010regular graph and the set of vertices of degree two induces an empty graph.  prove here that, with the single exception of the graph obtained from the Petersen graph by deleting one vertex, all petal graphs are Class 1. This settles a particular case of a conjecture of Hilton and Zhao."}]