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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.
English: A graph with edges colored to illustrate a path (green), a closed path/walk with a repeated vertex (blue) and a cycle with no repeated edge or vertex (red). Date 2 July 2018
With four colors, it can be colored in 24 + 4 × 12 = 72 ways: using all four colors, there are 4! = 24 valid colorings (every assignment of four colors to any 4-vertex graph is a proper coloring); and for every choice of three of the four colors, there are 12 valid 3-colorings. So, for the graph in the example, a table of the number of valid ...
[[Category:Chart, diagram and graph formatting and function templates]] to the <includeonly> section at the bottom of that page. Otherwise, add <noinclude>[[Category:Chart, diagram and graph formatting and function templates]]</noinclude> to the end of the template code, making sure it starts on the same line as the code's last character.
colors: color palette of the chart as a comma-separated list of colors. The color values must be given either as #rgb / #rrggbb / #aarrggbb or by a CSS color name . For #aarrggbb the aa component denotes the alpha channel , i.e. FF=100% opacity, 80=50% opacity/transparency, etc.
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If the template has a separate documentation page (usually called "Template:template name/doc"), add [[Category:Graph, chart and plot templates]] to the <includeonly> section at the bottom of that page. Otherwise, add <noinclude>[[Category:Graph, chart and plot templates]]</noinclude>
Rainbow coloring of a wheel graph, with three colors.Every two non-adjacent vertices can be connected by a rainbow path, either directly through the center vertex (bottom left) or by detouring around one triangle to avoid a repeated edge color (bottom right).