Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the existence of perfect matchings in suitably chosen induced subgraphs of random biregular bipartite graphs.  prove a result similar to a classical theorem of Erdos and Renyi about perfect matchings in random bipartite graphs.  also present an application to commutative graphs, a class of graphs that are featured in additive number theory.
['Guillem Perarnau', 'Giorgis Petridis']
I am writing a research paper on a idea Matchings in Random Biregular Bipartite Graphs
[{"from": "human", "value": "I am writing a research paper on a idea Matchings in Random Biregular Bipartite Graphs"}, {"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 existence of perfect matchings in suitably chosen induced subgraphs of random biregular bipartite graphs.  prove a result similar to a classical theorem of Erdos and Renyi about perfect matchings in random bipartite graphs.  also present an application to commutative graphs, a class of graphs that are featured in additive number theory."}]