Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  prove that edge contractions do not preserve the property that a set of graphs has bounded clique-width. Edge contractions can increase clique-width and rank-width.Using monadic second-order graph transductions to prove that certain graphs have unbounded clique-width.An alternative proof is given using vertex-minors.Taking induced topological minors preserves bounded clique-width.
['Bruno Courcelle']
I am writing a research paper on a idea Clique-width and edge contraction
[{"from": "human", "value": "I am writing a research paper on a idea Clique-width and edge contraction"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  prove that edge contractions do not preserve the property that a set of graphs has bounded clique-width. Edge contractions can increase clique-width and rank-width.Using monadic second-order graph transductions to prove that certain graphs have unbounded clique-width.An alternative proof is given using vertex-minors.Taking induced topological minors preserves bounded clique-width."}]