Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  relates the study of random walks on graphs and directed graphs to random walks that arise in Monte Carlo methods applied to optimization problems. Previous results on simple graphs are surveyed and new results on the mixing times for Markov chains are derived.
['Wen-Ju Cheng', 'Jim Cox', 'Paula A. Whitlock']
I am writing a research paper on a idea Random walks on graphs and Monte Carlo methods
[{"from": "human", "value": "I am writing a research paper on a idea Random walks on graphs and Monte Carlo methods"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  relates the study of random walks on graphs and directed graphs to random walks that arise in Monte Carlo methods applied to optimization problems. Previous results on simple graphs are surveyed and new results on the mixing times for Markov chains are derived."}]