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In mathematics, a chord diagram consists of a cyclic order on a set of objects, together with a one-to-one pairing (perfect matching) of those objects. 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.
Chord diagrams get their name from terminology used in geometry. A chord of a circle is a geometric line segment whose endpoints both lie on the circle. Chord diagrams are also known as radial network diagrams and may sometimes be referred to as a type of circular layout .
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; Chord diagram (mathematics), a circularly ordered set with a one-to-one pairing, often drawn ...
A chord (from the Latin chorda, meaning "bowstring") of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord were to be extended infinitely on both directions into a line, the object is a secant line. The perpendicular line passing through the chord's midpoint is called sagitta (Latin for "arrow").
In the mathematical area of graph theory, a chordal graph is one in which all cycles of four or more vertices have a chord, which is an edge that is not part of the cycle but connects two vertices of the cycle.
The last few weeks of the year can be a busy and stressful time. Here’s how to focus on what really matters this holiday season, according to experts.
The College Football Playoff can do this the hard way or the easy way. The selection committee is hoping for a paint-by-numbers Sunday that sees no changes from the penultimate rankings and, most ...
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.