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Multiple Choice: Students are given 70 minutes to complete 60 multiple choice questions which are weighted 2/3 (66.7%) of the total exam score. Free-Response: Students are allotted 10 minutes of planning then 50 minutes of writing for one long free-response question (weighted 50% of section score) and two short ones (weighted 25% section score each).
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 ...
The utility maximization problem attempts to explain the action axiom by imposing rationality axioms on consumer preferences and then mathematically modeling and analyzing the consequences. [9] The utility maximization problem serves not only as the mathematical foundation of consumer theory but as a metaphysical explanation of it as well.
Graph of a tax wedge, showing consumer and producer incidence. The tax wedge is the deviation from the equilibrium price and quantity ( P ∗ {\displaystyle P^{*}} and Q ∗ {\displaystyle Q^{*}} , respectively) as a result of the taxation of a good.
Since the clique problem is NP-complete, this polynomial-time many-one reduction shows that subgraph isomorphism is also NP-complete. [3] An alternative reduction from the Hamiltonian cycle problem translates a graph G which is to be tested for Hamiltonicity into the pair of graphs G and H, where H is a cycle having the same number of vertices ...
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