Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Ramsey theory is an active research area in combinatorics whose central theme is the emergence of order in large disordered structures, with Ramsey numbers marking the threshold at which this order first appears. For generalized Ramsey numbers r(G, H), the emergent order is characterized by graphs G and H.  : (i) present a quantum algorithm for computing generalized Ramsey numbers by reformulating the computation as a combinatorial optimization problem which is solved using adiabatic quantum optimization; and (ii) determine the Ramsey numbers $$r({\mathscr {T}}_{m},{\mathscr {T}}_{n})$$r(Tm,Tn) for trees of order $$m,n = 6,7,8$$m,n=6,7,8, most of which re previously unknown.
['Mani Ranjbar', 'William G. Macready', 'Lane Clark', 'Frank Gaitan']
I am writing a research paper on a idea Generalized Ramsey numbers through adiabatic quantum optimization
[{"from": "human", "value": "I am writing a research paper on a idea Generalized Ramsey numbers through adiabatic quantum optimization"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Ramsey theory is an active research area in combinatorics whose central theme is the emergence of order in large disordered structures, with Ramsey numbers marking the threshold at which this order first appears. For generalized Ramsey numbers r(G, H), the emergent order is characterized by graphs G and H.  : (i) present a quantum algorithm for computing generalized Ramsey numbers by reformulating the computation as a combinatorial optimization problem which is solved using adiabatic quantum optimization; and (ii) determine the Ramsey numbers $$r({\\mathscr {T}}_{m},{\\mathscr {T}}_{n})$$r(Tm,Tn) for trees of order $$m,n = 6,7,8$$m,n=6,7,8, most of which re previously unknown."}]