vertex
The maximum or minimum value of a parabola.
In mathematics, a vertex is a point where two or more lines, curves, or edges meet. The term vertex is commonly used in geometry and graph theory. In geometry, a vertex refers to the point where two or more line segments meet and form an angle. The plural of vertex is vertices.
In graph theory, a vertex refers to a point or node in a graph that represents an object or entity. A graph is a structure that consists of a set of vertices and a set of edges that connect these vertices. The edges represent the relationships or connections between the objects represented by the vertices.
For example, in a triangle, each of the three endpoints is a vertex, and they all meet at a single point. In a graph representing a social network, the vertices may represent people, and the edges represent relationships such as friendships or family connections. The study of graphs and their vertices is an important area of mathematics with many real-world applications, such as computer networking and social media analysis.
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