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  2. Four color theorem - Wikipedia

    en.wikipedia.org/wiki/Four_color_theorem

    A four-colored map of the states of the United States (ignoring lakes and oceans) In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. Adjacent means that two regions share a common boundary of ...

  3. Map-coloring games - Wikipedia

    en.wikipedia.org/wiki/Map-coloring_games

    Several map-coloring games are studied in combinatorial game theory. The general idea is that we are given a map with regions drawn in but with not all the regions colored. Two players, Left and Right, take turns coloring in one uncolored region per turn, subject to various constraints, as in the map-coloring problem. The move constraints and ...

  4. Five color theorem - Wikipedia

    en.wikipedia.org/wiki/Five_color_theorem

    A Five-Color Map. The five color theorem is a result from graph theory that given a plane separated into regions, such as a political map of the countries of the world, the regions may be colored using no more than five colors in such a way that no two adjacent regions receive the same color. The five color theorem is implied by the stronger ...

  5. Left- and right-hand traffic - Wikipedia

    en.wikipedia.org/wiki/Left-_and_right-hand_traffic

    This is an accepted version of this page This is the latest accepted revision, reviewed on 17 September 2024. Directionality of traffic flow by jurisdiction Countries by direction of road traffic, c. 2020 ⇅ Left-hand traffic ⇵ Right-hand traffic Left-hand traffic (LHT) and right-hand traffic (RHT) are the practices, in bidirectional traffic, of keeping to the left side and to the right ...

  6. Exploration of North America - Wikipedia

    en.wikipedia.org/wiki/Exploration_of_North_America

    Exploration of North America. The exploration of North America by European sailors and geographers was an effort by major European powers to map and explore the continent with the goal of economic, religious and military expansion. The combative and rapid nature of this exploration is the result of a series of countering actions by neighboring ...

  7. List of games in game theory - Wikipedia

    en.wikipedia.org/wiki/List_of_games_in_game_theory

    Perfect information: A game has perfect information if it is a sequential game and every player knows the strategies chosen by the players who preceded them. Constant sum: A game is a constant sum game if the sum of the payoffs to every player are the same for every single set of strategies. In these games, one player gains if and only if ...

  8. Risk (game) - Wikipedia

    en.wikipedia.org/wiki/Risk_(game)

    Risk is a strategy board game of diplomacy, conflict and conquest [1] for two to six players. The standard version is played on a board depicting a political map of the world, divided into 42 territories, which are grouped into six continents. Turns rotate among players who control armies of playing pieces with which they attempt to capture ...

  9. Game theory - Wikipedia

    en.wikipedia.org/wiki/Game_theory

    Strategy. Game theory is the study of mathematical models of strategic interactions. [1] It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. [2] Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly ...