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  2. Nashville Number System - Wikipedia

    en.wikipedia.org/wiki/Nashville_Number_System

    Other chord qualities such as major sevenths, suspended chords, and dominant sevenths use familiar symbols: 4 Δ 7 5 sus 5 7 1 would stand for F Δ 7 G sus G 7 C in the key of C, or E ♭ Δ 7 F sus F 7 B ♭ in the key of B ♭. A 2 means "add 2" or "add 9". Chord inversions and chords with other altered bass notes are notated analogously to ...

  3. Chord diagram (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Chord_diagram_(mathematics)

    There is a Catalan number of chord diagrams on a given ordered set in which no two chords cross each other. [2] The crossing pattern of chords in a chord diagram may be described by a circle graph, the intersection graph of the chords: it has a vertex for each chord and an edge for each two chords that cross. [3]

  4. Chordal graph - Wikipedia

    en.wikipedia.org/wiki/Chordal_graph

    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]

  5. Chord (geometry) - Wikipedia

    en.wikipedia.org/wiki/Chord_(geometry)

    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).

  6. Chord chart - Wikipedia

    en.wikipedia.org/wiki/Chord_chart

    A chord chart. Play ⓘ. A chord chart (or chart) is a form of musical notation that describes the basic harmonic and rhythmic information for a song or tune. It is the most common form of notation used by professional session musicians playing jazz or popular music.

  7. Dividing a circle into areas - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_circle_into_areas

    The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.

  8. Circle graph - Wikipedia

    en.wikipedia.org/wiki/Circle_graph

    The chords forming the 220-vertex 5-chromatic triangle-free circle graph of Ageev (1996), drawn as an arrangement of lines in the hyperbolic plane.. The chromatic number of a circle graph is the minimum number of colors that can be used to color its chords so that no two crossing chords have the same color.

  9. Strongly chordal graph - Wikipedia

    en.wikipedia.org/wiki/Strongly_chordal_graph

    A leaf power is a graph that is a k-leaf power for some k. Since powers of strongly chordal graphs are strongly chordal and trees are strongly chordal, it follows that leaf powers are strongly chordal. They form a proper subclass of strongly chordal graphs, which in turn includes the cluster graphs as the 2-leaf powers. [11]

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