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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 dotted line in red represents a cut with three crossing edges. The dashed line in green represents one of the minimum cuts of this graph, crossing only two edges. [1] In graph theory, a minimum cut or min-cut of a graph is a cut (a partition of the vertices of a graph into two disjoint subsets) that is minimal in some metric.
Advanced Placement (AP) Economics (also known as AP Econ) refers to two College Board Advanced Placement Program courses and exams addressing various aspects of the field of economics: AP Macroeconomics
linewidths: different line widths may be defined for each series of data with csv, if set to 0 with "showSymbols" results with points graph, eg.: linewidths=1, 0, 5, 0.2; showSymbols: show symbol on data point for line graphs, if a number is provided, the symbol size (default 2.5) may be defined for each data series, eg.: showSymbols=1, 2, 3, 4
succinct versions of many graph problems, with graphs represented as Boolean circuits, [43] ordered binary decision diagrams [44] or other related representations: s-t reachability problem for succinct graphs. This is essentially the same as the simplest plan existence problem in automated planning and scheduling. planarity of succinct graphs
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 ...