Graphs And Polyhedra

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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Concept Map

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Textbook

NCERT book on Graphs

Additional Information

Useful websites

Wikipedia page for Graph Theory

For More Informations on Platonic Solids

Reference Books

Click here for DSERT 10 th Text book chapter Graph Theory
Introduction to Graph Theory, By Douglas B.West

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.

1. Defining a Graph, node arc and Region
2. Framing Euler's Formula for graphs
3. Verifying Euler's Formula N + R = A + 2 for given Plane graphs
4. Drawing graphs for given N,R and A
5. Identifying the Traversible graphs
6. Explaining and using the condition for Traversible graphs
7. defining a Polyhedra
8. Framing Euler's formula for Polyhedra
9. verifying Euler's formula for the given Polyhedra

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

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

Assessment activities for CCE

Check your basic knowledge on Polyhedrons

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

For solution click here

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