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A government-set minimum wage is a price floor on the price of labour. A price floor is a government- or group-imposed price control or limit on how low a price can be charged for a product, [1] good, commodity, or service. It is one type of price support; other types include supply regulation and guarantee government purchase price.
The branch and price method can be used to solve problems in a variety of application areas, including: Graph multi-coloring. [3] This is a generalization of the graph coloring problem in which each node in a graph must be assigned a preset number of colors and any nodes that share an edge cannot have a color in common. The objective is then to ...
Graph homomorphism problem [3]: GT52 Graph partition into subgraphs of specific types (triangles, isomorphic subgraphs, Hamiltonian subgraphs, forests, perfect matchings) are known NP-complete. Partition into cliques is the same problem as coloring the complement of the given graph. A related problem is to find a partition that is optimal terms ...
A government-set minimum wage is a price floor on the price of labour. A price floor is a government- or group-imposed price control or limit on how low a price can be charged for a product, [21] good, commodity, or service. A price floor must be higher than the equilibrium price in order to be effective. The equilibrium price, commonly called ...
English: An illustrative supply/demand graph, showing a price floor that has caused a market surplus (shaded in light blue). Line D (red) represents the demand (price vs. quantity demanded), line S (blue) represents the supply (price vs. quantity supplied), point E (black) is the equilibrium point, and line F (green, dashed) represents the price floor.
A price support scheme can also be an agreement set in order by the government, where the government agrees to purchase the surplus of at a minimum price. For example, if a price floor were set in place for agricultural wheat commodities, the government would be forced to purchase the resulting surplus from the wheat farmers (thereby ...
The problem of constructing a solution for the graph realization problem with the additional constraint that each such solution comes with the same probability was shown to have a polynomial-time approximation scheme for the degree sequences of regular graphs by Cooper, Martin, and Greenhill. [5] The general problem is still unsolved.
A related problem is the minimum cost circulation problem, which can be used for solving minimum cost flow. The minimum cost circulation problem has no source and sink; instead it has costs and lower and upper bounds on each edge, and seeks flow amounts within the given bounds that balance the flow at each vertex and minimize the sum over edges ...