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The following variants of the problem have been solved in the original paper: Discrete splitting: [1] : Th 1.1 The necklace has beads. The beads come in different colors. There are beads of each color , where is a positive integer. Partition the necklace into parts (not necessarily contiguous), each of which has exactly beads of color i.
In combinatorics, a k -ary necklace of length n is an equivalence class of n -character strings over an alphabet of size k, taking all rotations as equivalent. It represents a structure with n circularly connected beads which have k available colors. A k -ary bracelet, also referred to as a turnover (or free) necklace, is a necklace such that ...
In combinatorial mathematics, the necklace polynomial, or Moreau's necklace-counting function, introduced by C. Moreau ( 1872 ), counts the number of distinct necklaces of n colored beads chosen out of α available colors, arranged in a cycle. Unlike the usual problem of graph coloring, the necklaces are assumed to be aperiodic (not consisting ...
The necklace problem involves the reconstruction of a necklace of beads, each of which is either black or white, from partial information. The information specifies how many copies the necklace contains of each possible arrangement of black beads. For instance, for , the specified information gives the number of pairs of black beads that are ...
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The clearest and finest glass is tinted in two ways: firstly, a natural coloring agent is ground and melted with the glass. Many of these coloring agents still exist today; for a list of coloring agents, see below. Black glass was called obsidianus after obsidian stone. A second method is apparently to produce a black glass which, when held to ...
Etched carnelian beads, or sometimes bleached carnelian beads, are a type of ancient decorative beads made from carnelian with an etched design in white, which were probably manufactured by the Indus Valley civilization during the 3rd millennium BCE. They were made according to a technique of alkaline-etching developed by the Harappans, and ...
Beadwork. Beadwork is the art or craft of attaching beads to one another by stringing them onto a thread or thin wire with a sewing or beading needle or sewing them to cloth. [ 1] Beads are produced in a diverse range of materials, shapes, and sizes, and vary by the kind of art produced. Most often, beadwork is a form of personal adornment (e.g ...