Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  develop efficient exact and approximate algorithms for computing a maximum independent set in random graphs. In a random graph G, each pair of vertices are joined by an edge with a probability p, where p is a constant beten 0 and 1.  show that a maximum independent set in a random graph that contains n vertices can be computed in expected computation time    . In addition,  show that, with high probability, the parameterized independent set problem is fixed parameter tractable in random graphs and the maximum independent set in a random graph in n vertices can be approximated within a ratio of     in expected polynomial time.
['Yinglei Song']
I am writing a research paper on a idea On the independent set problem in random graphs
[{"from": "human", "value": "I am writing a research paper on a idea On the independent set problem in random graphs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  develop efficient exact and approximate algorithms for computing a maximum independent set in random graphs. In a random graph G, each pair of vertices are joined by an edge with a probability p, where p is a constant beten 0 and 1.  show that a maximum independent set in a random graph that contains n vertices can be computed in expected computation time    . In addition,  show that, with high probability, the parameterized independent set problem is fixed parameter tractable in random graphs and the maximum independent set in a random graph in n vertices can be approximated within a ratio of     in expected polynomial time."}]