Adjacent vertices are two vertices in a graph that are directly connected by an edge. In other words, if there is a line segment or arc linking the two vertices, they are considered adjacent. This concept is fundamental in graph theory and helps in understanding the structure and properties of graphs.
Adjacent vertices: side Non-adjacent: diagonal
They are straight joining vertices to non-adjacent vertices.
The diagonal joins two non-adjacent vertices in a rectangle.
A triangle does not have diagonals because it is a polygon with only three sides and three vertices. Diagonals are defined as line segments connecting non-adjacent vertices, but in a triangle, all vertices are adjacent to each other. Therefore, there are no pairs of non-adjacent vertices to connect, resulting in no diagonals.
An adjacency matrix is a matrix showing which vertices of a graph are adjacent to which other vertices.
Adjacent vertices: side Non-adjacent: diagonal
An edge is a line segment that connects two adjacent vertices. If the vertices are non-adjacent, the line segment is known as a diagonal.
They are straight joining vertices to non-adjacent vertices.
The diagonal joins two non-adjacent vertices in a rectangle.
If between two adjacent vertices then in 2-dimensions it is a side, in 3-d and edge. If between non-adjacent vertices, a diagonal.
A triangle does not have diagonals because it is a polygon with only three sides and three vertices. Diagonals are defined as line segments connecting non-adjacent vertices, but in a triangle, all vertices are adjacent to each other. Therefore, there are no pairs of non-adjacent vertices to connect, resulting in no diagonals.
In a polygon, a line segment that connects two vertices is an edge, but only if they are adjacent. A line segment connecting two non-adjacent vertices is a diagonal.
They are corners or vertices.
An adjacency matrix is a matrix showing which vertices of a graph are adjacent to which other vertices.
A scalene triangle has no diagonals. In geometry, a diagonal is defined as a line segment connecting two non-adjacent vertices of a polygon. Since a triangle only has three vertices and all of them are adjacent to each other, there are no pairs of non-adjacent vertices to connect.
consecutive\adjacent
If two vertices are adjacent to each other, the line segment connecting the two is known as an edge. If they are non-adjacent it is known as a diagonal.