Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In the constraint satisfaction problem (CSP) corresponding to a constraint language (i.e., a set of relations) $\Gamma$, the goal is to find an assignment of values to variables so that a given set of constraints specified by relations from $\Gamma$ is satisfied. The complexity of this problem has received a substantial amount of attention in the past decade. ,  study the fixed-parameter tractability of CSPs parameterized by the size of the solution in the following sense: one of the possible values, say 0, is “free,” and the number of variables allod to take other, “expensive,” values is restricted. A size constraint requires that exactly $k$ variables take nonzero values.  also study a more refined version of this restriction: a global cardinality constraint prescribes how many variables have to be assigned each particular value.  study the parameterized complexity of these types of CSPs where the parameter is the required number $k$ of nonzero variables. As special cases,  can ob...
['Andrei A. Bulatov', 'Dániel Marx']
I am writing a research paper on a idea Constraint Satisfaction Parameterized by Solution Size
[{"from": "human", "value": "I am writing a research paper on a idea Constraint Satisfaction Parameterized by Solution Size"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In the constraint satisfaction problem (CSP) corresponding to a constraint language (i.e., a set of relations) $\\Gamma$, the goal is to find an assignment of values to variables so that a given set of constraints specified by relations from $\\Gamma$ is satisfied. The complexity of this problem has received a substantial amount of attention in the past decade. ,  study the fixed-parameter tractability of CSPs parameterized by the size of the solution in the following sense: one of the possible values, say 0, is \u201cfree,\u201d and the number of variables allod to take other, \u201cexpensive,\u201d values is restricted. A size constraint requires that exactly $k$ variables take nonzero values.  also study a more refined version of this restriction: a global cardinality constraint prescribes how many variables have to be assigned each particular value.  study the parameterized complexity of these types of CSPs where the parameter is the required number $k$ of nonzero variables. As special cases,  can ob..."}]