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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.
The first problem is the so-called graph realization problem, and the second is known as the digraph realization problem. The bipartite realization problem is equivalent to the question, if there exists a labeled bipartite subgraph of a complete bipartite graph to a given degree sequence.
Print/export Download as PDF; Printable version; In other projects ... Pages in category "Unsolved problems in graph theory" The following 32 pages are in this ...
A common and specific example is the supply-and-demand graph shown at right. This graph shows supply and demand as opposing curves, and the intersection between those curves determines the equilibrium price. An alteration of either supply or demand is shown by displacing the curve to either the left (a decrease in quantity demanded or supplied ...