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  2. Water cycle - Wikipedia

    en.wikipedia.org/wiki/Water_cycle

    The water cycle (or hydrologic cycle or hydrological cycle ), is a biogeochemical cycle that involves the continuous movement of water on, above and below the surface of the Earth. The mass of water on Earth remains fairly constant over time. However, the partitioning of the water into the major reservoirs of ice, fresh water, salt water and ...

  3. Cycle (graph theory) - Wikipedia

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

    A graph with edges colored to illustrate a closed walk, H–A–B–A–H, in green; a circuit which is a closed walk in which all edges are distinct, B–D–E–F–D–C–B, in blue; and a cycle which is a closed walk in which all vertices are distinct, H–D–G–H, in red. In graph theory, a cycle in a graph is a non-empty trail in which ...

  4. Three utilities problem - Wikipedia

    en.wikipedia.org/wiki/Three_utilities_problem

    Two views of the utility graph, also known as the Thomsen graph or. The classical mathematical puzzle known as the three utilities problem or sometimes water, gas and electricity asks for non-crossing connections to be drawn between three houses and three utility companies in the plane. When posing it in the early 20th century, Henry Dudeney ...

  5. Turn-by-turn navigation - Wikipedia

    en.wikipedia.org/wiki/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 factors such as traffic ...

  6. Hamiltonian path - Wikipedia

    en.wikipedia.org/wiki/Hamiltonian_path

    In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a cycle that visits each vertex exactly once. A Hamiltonian path that starts and ends at adjacent vertices can be completed by adding ...

  7. Rock cycle - Wikipedia

    en.wikipedia.org/wiki/Rock_cycle

    For example, an igneous rock such as basalt may break down and dissolve when exposed to the atmosphere, or melt as it is subducted under a continent. Due to the driving forces of the rock cycle, plate tectonics and the water cycle, rocks do not remain in equilibrium and change as they encounter new environments. The rock cycle explains how the ...

  8. Shortest path problem - Wikipedia

    en.wikipedia.org/wiki/Shortest_path_problem

    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. The problem of finding the shortest path between two intersections on a road map may be modeled as a special case of the shortest path problem in graphs ...

  9. Flow network - Wikipedia

    en.wikipedia.org/wiki/Flow_network

    Flow network. In graph theory, a flow network (also known as a transportation network) is a directed graph where each edge has a capacity and each edge receives a flow. The amount of flow on an edge cannot exceed the capacity of the edge. Often in operations research, a directed graph is called a network, the vertices are called nodes and the ...

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