Vertex
The point where two segments meet.
A vertex is a mathematical term that refers to a point at which two or more physical or abstract entities, such as lines, edges, angles, or planes, meet. In mathematics, vertices are significant elements of graphs or polyhedra, and they play an essential role in topology and algebraic geometry.
In graph theory, a vertex can be defined as a point where multiple edges of a graph meet. This term is mainly used in the representation of networks or graphs, where vertices represent individual nodes and edges represent the connections between them. The connections between vertices may have different weights or values, representing different types of relationships or interactions.
In geometry, a vertex usually refers to the point of intersection of two or more lines, rays, or line segments that form an angle. For example, in a triangle, the point where the three sides meet is called the vertex of the triangle. In a polygon, a vertex is a corner point where two sides of the polygon intersect.
In summary, a vertex is a point at which lines, edges, angles, or planes meet, and it has many applications in various fields, including mathematics, computer science, physics, and engineering.
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