Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Abstract    present a polynomial-time algorithm that determines whether a graph that contains no induced path on six vertices and no bull (the graph with vertices   a  ,  b  ,  c  ,  d  ,  e   and edges   a  b  ,  b  c  ,  c  d  ,  b  e  ,  c  e  ) is 4-colorable.  also show that for any fixed   k   the   k  -coloring problem can be solved in polynomial time in the class of    (    P    6    ,  bull  ,  gem  )   -free graphs.
['Frédéric Maffray', 'Lucas Pastor']
I am writing a research paper on a idea 4-coloring ($P_6$, bull)-free graphs
[{"from": "human", "value": "I am writing a research paper on a idea 4-coloring ($P_6$, bull)-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: Abstract    present a polynomial-time algorithm that determines whether a graph that contains no induced path on six vertices and no bull (the graph with vertices   a  ,  b  ,  c  ,  d  ,  e   and edges   a  b  ,  b  c  ,  c  d  ,  b  e  ,  c  e  ) is 4-colorable.  also show that for any fixed   k   the   k  -coloring problem can be solved in polynomial time in the class of    (    P    6    ,  bull  ,  gem  )   -free graphs."}]