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The purge itself required sensitive judgment calls, notably when to regard a name on a list of convicted felons as a valid match with a name on the voting rolls.
For subjects without a valid match and for all others without specific cause of death, efforts were made to obtain a death certificate.
For a given graph and number, KVMP is a decision process that determines whether has a -valid matching of size.
Definition 2. For a given graph, number, and weight, WKVMP is a decision process that determines whether has a -valid matching of size and total weight.
Then it follows that the graph has a -valid matching of cardinality not smaller than the cardinality of the maximum independent set of.
Thus, whether the set of edges constitute a -valid matching of size with a total weight of can be verified in polynomial time.
For, leache the subgraph subset of such that all edges in are of the form for some.
Similarly, we can check that the graph has a -valid matching of cardinality no smaller than the cardinality of the maximum independent set of.
We show that given a graph, we can construct a graph in polynomial time such that a -valid matching of has cardinality no smaller than that of the maximum independent set of.
Given a graph, one can construct the corresponding graph in polynomial time, and use the PTAS for MKVMP to obtain a -valid matching of size at least times the cardinality of any maximum independent set of.
The propensity score will produce valid matches for estimating the impact of the employer's intervention on wages if relevant covariates correlated with training enrollment and wages are observable.
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