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This construction uses a modified form of the Ruzsa-Szemerédi problem in which the number of induced matchings can be much smaller than the number of vertices, but each induced matching must cover most of the vertices of the graph. In this version of the problem, it is possible to construct graphs with a non-constant number of linear-sized ...
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 graph sandwich problem is NP-complete when Π is the property of being a chordal graph, comparability graph, permutation graph, chordal bipartite graph, or chain graph. [2] [4] It can be solved in polynomial time for split graphs, [2] [5] threshold graphs, [2] [5] and graphs in which every five vertices contain at most one four-vertex ...
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
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