In discrete mathematics, a

**graph**is a collection of points, called vertices, and lines between those points, called edges. There are many different**types**of**graphs**, such as connected and disconnected**graphs**, bipartite**graphs**, weighted**graphs**, directed and undirected**graphs**, and simple**graphs**.What are the different types of chart?

**Four of the most common charts are:**

- Histogram.
- Bar chart.
- Pie chart.
- Line chart.

Which graph is best?

**Line graphs**can also be used to compare changes over the same period of time for more than one group.

**Pie charts**are best to use when you are trying to compare parts of a whole. They do not show changes over time.

**Bar graphs**are used to compare things between different groups or to track changes over time.

1

## What is a cycle in a graph?

**Cycle graph**. In

**graph**theory, a

**cycle graph**or circular

**graph**is a

**graph**that consists of a single

**cycle**, or in other words, some number of vertices connected in a closed chain.

2

## What is a multiple graph?

In mathematics, and more specifically in graph theory, a

**multigraph**(in contrast to a simple graph) is a graph which is permitted to have multiple edges (also called parallel edges), that is, edges that have the same end nodes. Thus two vertices may be connected by more than one edge.3

## What is a direct graph?

A

**directed graph**is**graph**, i.e., a set of objects (called vertices or nodes) that are connected together, where all the edges are**directed**from one vertex to another. A**directed graph**is sometimes called a digraph or a**directed**network.4

## What is the order of the graph?

A

**graph**G = (V, E) is directed if the edge set is composed of ordered vertex (node) pairs. A**graph**is undirected if the edge set is composed of unordered vertex pair. Vertex Cardinality. The number of vertices, the cardinality of V, is called the**order**of**graph**and devoted by.5

## What is a simple graph?

A

**simple graph**, also called a strict**graph**(Tutte 1998, p. 2), is an unweighted, undirected**graph**containing no**graph**loops or multiple edges (Gibbons 1985, p. 2; West 2000, p. 2; Bronshtein and Semendyayev 2004, p. 346). A**simple graph**may be either connected or disconnected.6

## What is the degree of a graph?

The

**degree**of a**graph**vertex of a**graph**is the number of**graph**edges which touch . The vertex**degrees**are illustrated above for a random**graph**. The vertex**degree**is also called the local**degree**or valency. The ordered list of vertex**degrees**in a given**graph**is called its**degree**sequence.7

## What is meant by undirected graph?

An

**undirected graph**is**graph**, i.e., a set of objects (called vertices or nodes) that are connected together, where all the edges are bidirectional. An**undirected graph**is sometimes called an**undirected**network. In contrast, a**graph**where the edges point in a direction is called a directed**graph**.8

## What is a regular graph?

In

**graph**theory, a**regular graph**is a**graph**where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency. A**regular**directed**graph**must also satisfy the stronger condition that the indegree and outdegree of each vertex are equal to each other.9

## What is a simple undirected graph?

A

**simple graph**is an**undirected graph**without multiple edges or loops. In a**simple graph**the edges form a set (rather than a multiset) and each edge is an unordered pair of distinct vertices.10

## What is the degree of the graph?

In

**graph**theory, the**degree**(or valency) of a vertex of a**graph**is the number of edges incident to the vertex, with loops counted twice. The**degree**of a vertex is denoted or . In a regular**graph**, all**degrees**are the same, and so we can speak of the**degree of the graph**.11

## What is a tree in graph theory?

In mathematics, and more specifically in

**graph theory**, a**tree**is an undirected**graph**in which any two vertices are connected by exactly one path. Every acyclic connected**graph**is a**tree**, and vice versa. A rooted**tree**itself has been defined by some authors as a directed**graph**.12

## What are the three types of graphs and what are they used for?

Line

**graphs**can also be**used to**compare changes over the same period of time for more than one group. Pie charts are best to use when you are trying to compare parts of a whole.**They**do not show changes over time. Bar**graphs**are**used to**compare things between**different**groups or to track changes over time.13

## What is a null graph?

Empty

**Graph**. An empty**graph**on nodes consists of isolated nodes with no edges. Such**graphs**are sometimes also called edgeless**graphs**or**null graphs**(though the term "**null graph**" is also used to refer in particular to the empty**graph**on 0 nodes).14

## What are the different types of graphs?

There are several different types of charts and graphs. The four most common are probably

**line graphs**,**bar graphs**and histograms,**pie charts**, and Cartesian graphs. They are generally used for, and best for, quite different things.15

## What is a on a graph?

a diagram representing a system of connections or interrelations among two or more things by a number of distinctive dots, lines, bars, etc.

**Mathematics**. a series of points, discrete or continuous, as in forming a curve or surface, each of which represents a value of a given function.16

## What is a Hamiltonian graph?

A

**Hamiltonian path**or traceable**path**is a**path**that visits each vertex of the**graph**exactly once. A**graph**that contains a**Hamiltonian path**is called a traceable**graph**. A**graph**is**Hamiltonian**-connected if for every pair of vertices there is a**Hamiltonian path**between the two vertices.17

## What is a finite graph?

A

**graph**with a**finite**number of nodes and edges. If it has nodes and has no multiple edges or**graph**loops (i.e., it is simple), it is a subgraph of the complete**graph**. A**graph**which is not**finite**is called infinite. If every node has**finite**degree, the**graph**is called locally**finite**.18

## What is the meaning of line graph?

A

**line chart**or**line graph**is a type of**chart**which displays information as a series of data points called 'markers' connected by straight**line**segments. It is a basic type of**chart**common in many fields.19

## What is a bar graph look like?

Histograms vs

**Bar Graphs**.**Bar Graphs**are good when your data is in categories (such as "Comedy", "Drama", etc). But when you have continuous data (such as a person's height) then use a Histogram. It is best to leave gaps between the**bars**of a**Bar Graph**, so it doesn't**look like**a Histogram.