Concept Map

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Teaching Outlines

Concept #1 Representation of a Graph

Learning objectives

1. To define what is node.
2. to define what is arc
3. To define what is Region
4. To represent a Graph with node, Arc and Regions

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

Activity #1 Introduction to Graphs

Activity #2 Graph Theory

Concept #2 Types of Graphs

Learning objectives

1. To identify Plane Graph
2. To identify Non-Plane Graph

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity No #1
2. Activity No #2

Concept #3 Eulers formula for graph

Learning objectives

1. Generalization of Euler's formula
2. Verification of Euler's formula for Networks

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

Activity No #1 Verification of Euler's Formula for Graphs
Activity No #2

Concept # 4 Traversibility of a graph

Learning objectives

1. To Identify even order node
2. To Identify Odd order node
3. Condition for Traversibility
4. Condition for Non- Traversibility of Graph

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

Activity No #1 Transversable_Networks
Activity No #2

Hints for difficult problems

Statement : The Königsberg bridge problem : if the seven bridges of the city of Königsberg (left figure; Kraitchik 1942), formerly in Germany but now known as Kaliningrad and part of Russia, over the river Preger can all be traversed in a single trip without doubling back, with the additional requirement that the trip ends in the same place it began.

Image Courtesy : http://mathworld.wolfram.com/KoenigsbergBridgeProblem.html

Math Fun

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