MCA%20520:%20Graph%20Theory

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MCA 520 Graph Theory

• Instructor
• Neelima Gupta
• ngupta_at_cs.du.ac.in

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Table of Contents

• Introduction

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Origin of Graph Theory

• Konigsberg Bridge Problem City of Konigsberg was
  located on the Pregel river in Prussia. The city
  occupied the islands of Kneiphopf and the areas
  of both the banks of the river.
• Regions linked by 7 bridges.
• Citizens want to start from home and come back
  traversing each bridge exactly once.

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Models

• Acquaintance Relations Invite for a dinner so
  that everybody knows everybody else
• Clique
• Conflict Relations Invite for a dinner so that
  there is no conflict amongst the people.
• Independent Set
• Job Assignments
• Bipartite Matching
• Scheduling Committees in rooms
• Graph Coloring

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Models Contd

• Maps Coloring
• Coloring
• Road Networks/ Communication Networks
• MST and TSP

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Matrices Graph Representation

• Adjacency Matrices
• Incidence Matrices