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  2. Autumn leaf color - Wikipedia

    en.wikipedia.org/wiki/Autumn_leaf_color

    The phenomenon is commonly called autumn colours [2] or autumn foliage [3] in British English and fall colors, [4] fall foliage, or simply foliage [5] in American English. In some areas of Canada and the United States , " leaf peeping " tourism is a major contribution to economic activity.

  3. Fractional coloring - Wikipedia

    en.wikipedia.org/wiki/Fractional_coloring

    Above:A 3:1-coloring of the cycle on 5 vertices, and the corresponding 6:2-coloring. Below: A 5:2 coloring of the same graph. A b-fold coloring of a graph G is an assignment of sets of size b to vertices of a graph such that adjacent vertices receive disjoint sets. An a:b-coloring is a b-fold coloring out of a available colors.

  4. Harmonious coloring - Wikipedia

    en.wikipedia.org/wiki/Harmonious_coloring

    Any fewer colors will result in a color pair appearing on more than one pair of adjacent vertices. Moreover, by Mitchem's Formula, χ H (T 7,3 ) = ⌈(3/2)(7+1)⌉ = 12 . In graph theory , a harmonious coloring is a (proper) vertex coloring in which every pair of colors appears on at most one pair of adjacent vertices .