Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   study the distance Ramsey number RD(s,t,d). The distance Ramsey number RD(s,t,d) is the minimum number n such that for any graph G on n vertices, either G contains an induced s-vertex subgraph isomorphic to a distance graph in R d or ¯ G contains an induced t-vertex subgraph isomorphic to the distance graph in R d .  obtain the upper and lor bounds on RD(s,s,d), which are similar to the bounds for the classical Ramsey number R �l s [d/2] m , l s [d/2] m�
['Andrey Borisovich Kupavskii', 'A. M. Raigorodskii', 'M. V. Titova']
I am writing a research paper on a idea New bounds for the distance Ramsey number
[{"from": "human", "value": "I am writing a research paper on a idea New bounds for the distance Ramsey number"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   study the distance Ramsey number RD(s,t,d). The distance Ramsey number RD(s,t,d) is the minimum number n such that for any graph G on n vertices, either G contains an induced s-vertex subgraph isomorphic to a distance graph in R d or \u00af G contains an induced t-vertex subgraph isomorphic to the distance graph in R d .  obtain the upper and lor bounds on RD(s,s,d), which are similar to the bounds for the classical Ramsey number R \ufffdl s [d/2] m , l s [d/2] m\ufffd"}]