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The largest maximal clique is a maximum clique, and, as chordal graphs are perfect, the size of this clique equals the chromatic number of the chordal graph. Chordal graphs are perfectly orderable: an optimal coloring may be obtained by applying a greedy coloring algorithm to the vertices in the reverse of a perfect elimination ordering. [7]
The term "chord chart" can also describe a plain ASCII text, digital representation of a lyric sheet where chord symbols are placed above the syllables of the lyrics where the performer should change chords. [6] Continuing with the Amazing Grace example, a "chords over lyrics" version of the chord chart could be represented as follows:
Chord diagrams are conventionally visualized by arranging the objects in their order around a circle, and drawing the pairs of the matching as chords of the circle. The number of different chord diagrams that may be given for a set of 2 n {\displaystyle 2n} cyclically ordered objects is the double factorial ( 2 n − 1 ) ! ! {\displaystyle (2n ...
A chordal graph with a minimal number of chords: 18:00, 16 February 2006: 225 × 171 (4 KB) Tizio: White background: 17:49, 16 February 2006: 207 × 153 (3 KB) Tizio: An example of a chordal graph: every pair of vertices in a cycle are connected by an egde. If the two vertices are not adjacent in the cycle, that edge is called a chord. Category ...
Chord diagrams are useful for showing relationships between entities and their relative magnitudes in comparison to alternative arcs. As a result, chord diagrams are popular in migration studies, economic flows, and genome studies. They have also been used to highlight unexplored relationships to help address the problem of filter bubbles. [2]
Equal chords are subtended by equal angles from the center of the circle. A chord that passes through the center of a circle is called a diameter and is the longest chord of that specific circle. If the line extensions (secant lines) of chords AB and CD intersect at a point P, then their lengths satisfy AP·PB = CP·PD (power of a point theorem).
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A chord diagram may refer to: Chord diagram (music) , a diagram showing the fingering of a chord on a guitar or other fretted musical instrument Chord diagram (information visualization) , a diagram showing a many-to-many relationship between objects as curved arcs within a circle