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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]
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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 ...
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).
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 ...
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:
Increase the proportions as well, for example font size 48 and a line thickness of 17 pixels. Then use software like Photoshop or GIMP to Gaussian blur it at 2 pixels. Finally reduce it down to about 1000 pixels on a side (e.g. 1300×975) using bicubic interpolation .
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