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2. Travelling salesman problem - Wikipedia

   en.wikipedia.org/wiki/Travelling_salesman_problem

   Travelling Salesman, by director Timothy Lanzone, is the story of four mathematicians hired by the U.S. government to solve the most elusive problem in computer-science history: P vs. NP. [ 77] Solutions to the problem are used by mathematician Robert A. Bosch in a subgenre called TSP art.

3. Turn-by-turn navigation - Wikipedia

   en.wikipedia.org/wiki/Turn-by-turn_navigation

   Turn-by-turn navigation. Turn-by-turn navigation is a feature of some satellite navigation devices where directions for a selected route are continually presented to the user in the form of spoken or visual instructions. [ 1] The system keeps the user up-to-date about the best route to the destination, and is often updated according to changing ...

4. Turán's theorem - Wikipedia

   en.wikipedia.org/wiki/Turán's_theorem

   In graph theory, Turán's theorem bounds the number of edges that can be included in an undirected graph that does not have a complete subgraph of a given size. It is one of the central results of extremal graph theory, an area studying the largest or smallest graphs with given properties, and is a special case of the forbidden subgraph problem on the maximum number of edges in a graph that ...

5. Langton's ant - Wikipedia

   en.wikipedia.org/wiki/Langton's_ant

   A simple naming scheme is used: for each of the successive colors, a letter "L" or "R" is used to indicate whether a left or right turn should be taken. Langton's ant has the name "RL" in this naming scheme. Some of these extended Langton's ants produce patterns that become symmetric over and over again. One of the simplest examples is the ant ...

6. Fermat's Last Theorem - Wikipedia

   en.wikipedia.org/wiki/Fermat's_Last_Theorem

   Fermat–Catalan conjecture. In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many ...

7. Graph theory - Wikipedia

   en.wikipedia.org/wiki/Graph_theory

   A drawing of a graph. In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called arcs, links or lines ).

8. Pursuit–evasion - Wikipedia

   en.wikipedia.org/wiki/Pursuit–evasion

   Pursuit–evasion. Pursuit–evasion (variants of which are referred to as cops and robbers and graph searching) is a family of problems in mathematics and computer science in which one group attempts to track down members of another group in an environment. Early work on problems of this type modeled the environment geometrically. [1]

9. Path (graph theory) - Wikipedia

   en.wikipedia.org/wiki/Path_(graph_theory)

   Path (graph theory) A three-dimensional hypercube graph showing a Hamiltonian path in red, and a longest induced path in bold black. In graph theory, a path in a graph is a finite or infinite sequence of edges which joins a sequence of vertices which, by most definitions, are all distinct (and since the vertices are distinct, so are the edges).