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Home/ Questions/Q 8952139
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Editorial Team
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Editorial Team
Asked: June 15, 20262026-06-15T13:48:36+00:00 2026-06-15T13:48:36+00:00

Is there a way to colour region bounded by edges with GRAPH in mathematica.

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Is there a way to colour region bounded by edges with GRAPH in mathematica. Like if three vertices form a triangle, I want to colour the are of triangle with GRAPH option.

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  1. Editorial Team
    Editorial Team
    2026-06-15T13:48:37+00:00Added an answer on June 15, 2026 at 1:48 pm

    A one very easy way would be to use image processing:

    g = RandomGraph[{10, 15}, ImageSize -> 600, EdgeStyle -> Thick]
    

    enter image description here

    MorphologicalComponents[Binarize@Image[g]] // Colorize
    

    enter image description here

    It is easy for planar graphs, but for the rest you may have some overlapping regions. I see you mentioned grid; this is how you can approach it:

    g = GridGraph[{5, 5}, VertexSize -> .5, EdgeStyle -> Thick];
    MorphologicalComponents[ColorNegate@Binarize@GradientFilter[Image[g], 1]] // Colorize
    

    enter image description here

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