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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:
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).
In the mathematical area of graph theory, an undirected graph G is strongly chordal if it is a chordal graph and every cycle of even length (≥ 6) in G has an odd chord, i.e., an edge that connects two vertices that are an odd distance (>1) apart from each other in the cycle.
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 ...
In music theory, a major chord is a chord that has a root, a major third, and a perfect fifth. When a chord comprises only these three notes, it is called a major triad . For example, the major triad built on C, called a C major triad, has pitches C–E–G:
Approach chord; Chord names and symbols (popular music) Chromatic mediant; Common chord (music) Diatonic function; Eleventh chord; Extended chord; Jazz chord; Lead sheet; List of musical intervals; List of pitch intervals; List of musical scales and modes; List of set classes; Ninth chord; Open chord; Passing chord; Primary triad; Quartal chord ...
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