What is a vertex vs edge?

Vertices, edges and faces A face is a flat surface. An edge is where two faces meet. A vertex is a corner where edges meet. The plural is vertices.

What is a vertex line graph?

definition in combinatorics In combinatorics: Characterization problems of graph theory. The line graph H of a graph G is a graph the vertices of which correspond to the edges of G, any two vertices of H being adjacent if and only if the corresponding edges of G are incident with the same vertex of G.

What is an edge in graph?

For an undirected graph, an unordered pair of nodes that specify a line joining these two nodes are said to form an edge. For a directed graph, the edge is an ordered pair of nodes. The terms “arc,” “branch,” “line,” “link,” and “1-simplex” are sometimes used instead of edge (e.g., Skiena 1990, p. 80; Harary 1994).

What is vertex parabola?

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form , the vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if .

What is the difference between vertex and vertices?

vertex – a single point defined in space. In a 3D model, each vertex has a three dimensional position, and is connected to other vertices by edges, curves, surfaces, or polygons. vertices – the plural of vertex. Note: 1 point is a vertex, 2 or more points are vertices.

What is a linear graph?

Linear means straight and a graph is a diagram which shows a connection or relation between two or more quantity. So, the linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

What is a line in a graph called?

Line graphs consist of two axes: x-axis (horizontal) and y-axis (vertical). Each axis represents a different data type, and the points at which they intersect is (0,0). The x-axis is the independent axis because its values are not dependent on anything measured.

What is a vertex in a parabola?

Vertex of a Parabola. Main Concept. The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form , the vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if .

What is vertex form?

What Is Vertex Form? While the standard quadratic form is a x 2 + b x + c = y , the vertex form of a quadratic equation is y = a ( x − h ) 2 + k . In both forms, y is the y -coordinate, x is the x -coordinate, and a is the constant that tells you whether the parabola is facing up ( + a ) or down ( − a ).