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In graph-theoretic terms, the theorem states that for loopless planar graph, its chromatic number is ().. The intuitive statement of the four color theorem – "given any separation of a plane into contiguous regions, the regions can be colored using at most four colors so that no two adjacent regions have the same color" – needs to be interpreted appropriately to be correct.
English: This is a map of the contiguous United States with the District of Columbia where no two neighboring first-level administrative divisions have the same color, following the guidelines of the four-color theorem, which states that any loopless planar graph can be colored with four or fewer colors. This was created with Mathematica 13.2's ...
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
English: World map colored in green, yellow, blue and red to illustrate the four color theorem. This map considers just only land boundaries, although insular States have been colored too. This map considers just only land boundaries, although insular States have been colored too.
In cartographic design, map coloring is the act of choosing colors as a form of map symbol to be used on a map. Color is a very useful attribute to depict different features on a map. [ 1 ] Typical uses of color include displaying different political divisions, different elevations, or different kinds of roads.
A Chorochromatic map (from Greek χώρα chóra 'region' and χρώμα chróma 'color'), also known as an area-class, qualitative area, or mosaic map, is a type of thematic map that portray regions of categorical or nominal data using variations in color symbols. Chorochromatic maps are typically used to represent discrete fields, also known ...
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Introduction to vector map making with Inkscape: download, open with Inkscape and follow the exercises Create and color map zones: fr: Inkscape Create and color map zones freehand. Create and color independent zones in Inkscape starting from a map showing borders of countries or other zones. (See also next tutorial.)
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