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The cube-connected cycles of order n is the Cayley graph of a group that acts on binary words of length n by rotation and flipping bits of the word. [1] The generators used to form this Cayley graph from the group are the group elements that act by rotating the word one position left, rotating it one position right, or flipping its first bit.
Learn to edit; Community portal; Recent changes; ... Download as PDF; Printable version; In other projects ... Folded cube graph; Folkman graph;
The folded cube graph of dimension three is a complete graph K 4. The folded cube graph of dimension four is the complete bipartite graph K 4,4. The folded cube graph of dimension five is the Clebsch graph. The folded cube graph of dimension six is the Kummer graph, i.e. the Levi graph of the Kummer point-plane configuration.
The distance between vertices in the cube graph equals the Hamming distance between the strings. In statistics and coding theory , a Hamming space is usually the set of all 2 N {\displaystyle 2^{N}} binary strings of length N , where different binary strings are considered to be adjacent when they differ only in one position.
For solving the cubic equation x 3 + m 2 x = n where n > 0, Omar Khayyám constructed the parabola y = x 2 /m, the circle that has as a diameter the line segment [0, n/m 2] on the positive x-axis, and a vertical line through the point where the circle and the parabola intersect above the x-axis.
Roughly speaking, each vertex represents a 3-jm symbol, the graph is converted to a digraph by assigning signs to the angular momentum quantum numbers j, the vertices are labelled with a handedness representing the order of the three j (of the three edges) in the 3-jm symbol, and the graph represents a sum over the product of all these numbers ...
English: 10-hypercube graph. This hypercube graph is an orthogonal projection.This oriented projection shows columns of vertices positioned a vertex-edge-vertex distance from one vertex on the left to one vertex on the right, and edges attaching adjacent columns of vertices.
Firstly, if a < 0, the change of variable x → –x allows supposing a > 0. After this change of variable, the new graph is the mirror image of the previous one, with respect of the y-axis. Then, the change of variable x = x 1 – b / 3a provides a function of the form = + +.