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Advanced Placement (AP) Microeconomics (also known as AP Micro) is a course offered by the College Board as part of the Advanced Placement Program for high school students interested in college-level coursework in microeconomics and/or gaining advanced standing in college.
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.
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 ...
In a graph, a maximum cut is a cut whose size is at least the size of any other cut. That is, it is a partition of the graph's vertices into two complementary sets S and T, such that the number of edges between S and T is as large as possible. Finding such a cut is known as the max-cut problem. The problem can be stated simply as follows.
Shortest path (A, C, E, D, F), blue, between vertices A and F in the weighted directed graph. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.
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.
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.
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