MAT 206 GRAPH THEORY

Class overview

This course introduces fundamental concepts in Graph Theory, including properties and characterisation of graph/trees and graph theoretic algorithms, which are widely used in Mathematical modelling and has got applications across Computer Science and other branches in Engineering..

Course Outcomes

  • Explain vertices and their properties, types of paths, classification of graphs and trees & their properties. (Cognitive Knowledge Level: Understand)

  • Demonstrate the fundamental theorems on Eulerian and Hamiltonian graphs.(Cognitive Knowledge Level: Understand)

  • Illustrate the working of Prim’s and Kruskal’s algorithms for finding minimum cost spanning tree and Dijkstra’s and Floyd-Warshall algorithms for finding shortest paths. (Cognitive Knowledge Level: Apply)

  • Explain planar graphs, their properties and an application for planar graphs.(Cognitive Knowledge Level: Apply)

  • Illustrate how one can represent a graph in a computer. (Cognitive Knowledge Level: Apply)

  • Illustrate an application for Partially Ordered Sets and Complete Lattices, in Computer Science (Cognitive Knowledge Level: Apply)

  • Explain the Vertex Color problem in graphs and illustrate an example application for vertex coloring. (Cognitive Knowledge Level: Apply)

Contact Me

Varun Soman

Assistant Professor

Department of Mathematics

College of Engineering Trivandrum

Thiruvananthapuram 695016

varunsmn@cet.ac.in

Mobile:- 9744562644