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In the mathematical field of graph theory, a star coloring of a graph G is a (proper) vertex coloring in which every path on four vertices uses at least three distinct colors. Equivalently, in a star coloring, the induced subgraphs formed by the vertices of any two colors has connected components that are star graphs .
In graph theory, a star S k is the complete bipartite graph K 1,k : a tree with one internal node and k leaves (but no internal nodes and k + 1 leaves when k ≤ 1). Alternatively, some authors define S k to be the tree of order k with maximum diameter 2; in which case a star of k > 2 has k − 1 leaves. A star with 3 edges is called a claw.
In geometry, a dodecagram (from Greek δώδεκα (dṓdeka) 'twelve' and γραμμῆς (grammēs) 'line' [1]) is a star polygon or compound with 12 vertices. There is one regular dodecagram polygon (with Schläfli symbol {12/5} and a turning number of 5).
The following 12 pages use this file: 2020 United National Congress leadership election; 2022 United National Congress leadership election; 2024 United National Congress internal election; First Presbyterian Church (Tacoma, Washington) Five-pointed star; Grand Democratic Alliance; Photograph: The Very Best of Ringo Starr; Star polygons in art ...
An isotoxal polygon has two vertices and one edge. There are isotoxal decagram forms, which alternates vertices at two radii. Each form has a freedom of one angle. The first is a variation of a double-wound of a pentagon {5}, and last is a variation of a double-wound of a pentagram {5/2}.
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These naïve definitions are still used. E.g. MathWorld states that the two star polyhedra can be constructed by adding pyramids to the faces of the Platonic solids. [5] [6] This is just a help to visualize the shape of these solids, and not actually a claim that the edge intersections (false vertices) are vertices.
Fort Wood's star-shaped walls became the base of the Statue of Liberty. Prisms over the hendecagrams {11/3} and {11/4} may be used to approximate the shape of DNA molecules. [6] An 11-pointed star from the Momine Khatun Mausoleum. Fort Wood, now the base of the Statue of Liberty in New York City, is a star fort in the form of an irregular 11 ...