A vertex (or node) of a graph is one of the objects that are connected together. The connections between the vertices are called edges or links. The order of a vertex is the number of edges connected to it. It is also called degree of a vertex. The degree of a graph is the largest vertex degree of that graph. Consider the below graph: The number of vertices in this graph is 4 . The order of vertex c is 3 .

An edge (or link) of a network (or graph) is one of the connections between the nodes (or vertices) of the network. Edges can be directed, meaning they point from one node to the next, as illustrated by the arrows in the figure below. In above directed network, there are 10 nodes (or vertices) and 13 edges (or links). Edges can also be undirected, in which case they are bidirectional, as illustrated by the lines in the figure, below. In above an undirected network, there are 10 nodes (or vertices) and 11 edges (or links).

A network is a set of objects (called nodes or vertices) that are connected together. The connections between the nodes are called edges or links. In mathematics, networks are often referred to as graphs. A vertex (or node) of a graph is one of the objects that are connected together. The connections between the vertices are called edges or links. A graph is said to be connected if every pair of vertices in the graph is connected. This means that there is a path between every pair of vertices.

E M B I B E

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 18 - Graph Theory: Networks>What is a network?>Q ●

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MYP:4-5

IMPORTANT

Earn 100

What is a vertex?

Important Questions on Graph Theory: Networks

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MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 18 - Graph Theory: Networks>What is a network?>Q ●

What is an edge?

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 18 - Graph Theory: Networks>What is a network?>Q ●

What are graphs and directed graphs?

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 18 - Graph Theory: Networks>What is a network?>Q ●

What does it mean for a graph to be connected?

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 18 - Graph Theory: Networks>What is a network?>Q ●

What is a network?

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 18 - Graph Theory: Networks>Exploration 1>Q 1

The diagram given below illustrates connected graphs, using dots to represent the vertices and lines or curves to represent the edges. In the following diagram, determine the number of vertices and the number of edges.

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EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 18 - Graph Theory: Networks>Exploration 1>Q 1

The diagram given below illustrates connected graphs, using dots to represent the vertices and lines or curves to represent the edges. In the following diagram, determine the number of vertices and the number of edges.

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EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 18 - Graph Theory: Networks>Exploration 1>Q 1

The diagram given below illustrates connected graphs, using dots to represent the vertices and lines or curves to represent the edges. In the following diagram, determine the number of vertices and the number of edges.

Question Image

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 18 - Graph Theory: Networks>Exploration 1>Q 1

The diagram given below illustrates connected graphs, using dots to represent the vertices and lines or curves to represent the edges. In the following diagram, determine the number of vertices and the number of edges.

Question Image

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