Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: It is shown that if $G$ is any bipartite 2-regular graph of order at most $n/2$ or at least $n-2$, then the obvious necessary conditions are sufficient for the existence of a decomposition of the complete graph of order $n$ into a perfect matching and edge-disjoint copies of $G$.
['Darryn E. Bryant', 'Andrea C. Burgess', 'Peter Danziger']
I am writing a research paper on a idea Decompositions of Complete Graphs into Bipartite 2-Regular Subgraphs
[{"from": "human", "value": "I am writing a research paper on a idea Decompositions of Complete Graphs into Bipartite 2-Regular Subgraphs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: It is shown that if $G$ is any bipartite 2-regular graph of order at most $n/2$ or at least $n-2$, then the obvious necessary conditions are sufficient for the existence of a decomposition of the complete graph of order $n$ into a perfect matching and edge-disjoint copies of $G$."}]