What does connected mean in graph theory?

A connected graph is graph that is connected in the sense of a topological space, i.e., there is a path from any point to any other point in the graph. A graph that is not connected is said to be disconnected.

What is a graph with connected points called?

A point-to-point graph, also called a line graph, is a pictorial rendition of data in which specific values of a function are plotted as dots on a coordinate plane. Adjacent pairs of dots are connected by straight lines. Finally, each adjacent pair of points is connected by a solid, straight line segment.

What does it mean for a graph to be fully connected?

We call the number of edges that a vertex contains the degree of the vertex. Complete graphs are graphs that have an edge between every single vertex in the graph. A connected graph is a graph in which it’s possible to get from every vertex in the graph to every other vertex through a series of edges, called a path.

What does a data point on a graph represent?

Points: The points or dots on the graph represent the (x,y) coordinates or ordered pairs. More than one data line can be present in a line graph. Here, data on the horizontal axis is the independent variable, and data on the y-axis is the dependent variable.

What is a graph in graph theory?

A graph is a collection of vertices, or nodes, and edges between some or all of the vertices. When there exists a path that traverses each edge exactly once such that the path begins and ends at the same vertex, the path is known as an Eulerian circuit and the graph is known as an Eulerian graph.

What is complete graph in graph theory?

In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. A complete digraph is a directed graph in which every pair of distinct vertices is connected by a pair of unique edges (one in each direction).

What is a graph data model?

Graph data modeling is the process in which a user describes an arbitrary domain as a connected graph of nodes and relationships with properties and labels.

What type of data do line graph represent?

Line graphs, also called line charts, are used to represent quantitative data collected over a specific subject and a specific time interval. All the data points are connected by a line. Data points represent the observations that are collected on a survey or research.