The Role Of A Vertex In Mathematics: From Geometry To Graph Theory

Vertex

The name of the maximum or minimum point on a parabola. Always on the axis of symmetry

In mathematics, a vertex refers to a point where two or more lines, angles, or edges meet. In geometry, a vertex is a point where two or more straight lines come together to form an angle. The plural form of vertex is vertices.

In graph theory, a vertex is a point or node in a graph, which is a mathematical representation of a set of objects where some pairs of the objects are connected by links. A graph can be used to represent a network of connections or relationships between objects, such as a social network or a transportation system.

In calculus, a vertex can refer to the minimum or maximum point of a parabola, also known as the turning point. The vertex is located at the point where the parabola changes direction.

In summary, the term vertex can have different meanings depending on the mathematical context, but it generally refers to a point of intersection or connection.

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