Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study methods for transforming valued constraint satisfaction problems (VCSPs) to binary VCSPs. First,  show that the standard dual encoding preserves many aspects of the algebraic properties that capture the computational complexity of VCSPs. Second,  extend the reduction of CSPs to binary CSPs described by Bulin et al. [LMCS'15] to VCSPs. This reduction establishes that VCSPs over a fixed valued constraint language are polynomial-time equivalent to Minimum-Cost Homomorphism Problems over a fixed digraph.
['David A. Cohen', 'Martin C. Cooper', 'Peter Jeavons', 'Andrei A. Krokhin', 'Robert Powell', 'Stanislav Zivny']
I am writing a research paper on a idea Binarisation for Valued Constraint Satisfaction Problems
[{"from": "human", "value": "I am writing a research paper on a idea Binarisation for Valued Constraint Satisfaction Problems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study methods for transforming valued constraint satisfaction problems (VCSPs) to binary VCSPs. First,  show that the standard dual encoding preserves many aspects of the algebraic properties that capture the computational complexity of VCSPs. Second,  extend the reduction of CSPs to binary CSPs described by Bulin et al. [LMCS'15] to VCSPs. This reduction establishes that VCSPs over a fixed valued constraint language are polynomial-time equivalent to Minimum-Cost Homomorphism Problems over a fixed digraph."}]