UNIVERSITY OF KERALA - Marian Engineering College
UNIVERSITY OF KERALA - Marian Engineering College
UNIVERSITY OF KERALA - Marian Engineering College
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B.Tech Comp. Sc. & Engg., University of Kerala 82<br />
08.805 (4) GRAPH THEORY (ELECTIVE III) 3 – 1 – 0<br />
(Common with F 08.805C)<br />
Module I (16 hours)<br />
What is graph – Application of graphs – finite and infinite graphs – Incidence and Degree – Isolated vertex,<br />
pendent vertex, Null graph.<br />
Paths and circuits – Isomorphism, sub graphs, walks, paths and circuits, Connected graphs, disconnect graphs,<br />
Euler graphs Hamiltonian paths and circuits – Travelling salesman problem.<br />
Trees – properties, pendent vertex, Distance and centres - Rooted and binary tree, counting trees, spanning<br />
trees.<br />
Module II (18 hours)<br />
Combinatorial versus geometric graphs, Planar graphs, Different representation of planar graphs, geometric<br />
dual, combinatorial dual, vector spaces of graph, ban2 vectors of a graph, orthogonal vectors and spaces<br />
Directed graphs – types of digraphs, Digraphs and binary relation, Euler graphs, trees with directed edges.<br />
Module III (18 hours)<br />
Graphs theoretic algorithms and computer programming - Algorithm for computer representation of a graph,<br />
algorithm for connectedness and components, spanning tree, directed circuits, shortest path, searching the<br />
graphs, Isomorphism.<br />
Graphs in switching and cording theory – contact networks, Analysis of contact Networks, synthesis of<br />
contact networks, sequential switching networks, unit cube and its graph, graphs in coding theory.<br />
Text Books:<br />
1. Graph theory – Hararay, Narosa Publishers<br />
2. Graph theory – Narasingh Deo, PHI.<br />
Reference Books:<br />
1. Graphs theory applications – L.R. Foulds, Narosa.<br />
2. A first look at graph theory – John clark and Derek Allan Hotton, Allied.<br />
Internal Continuous Assessment (Maximum Marks-50)<br />
25 Marks - Tests (minimum 2)<br />
15 Marks - Assignments (minimum 3) such as home work, problem solving, literature survey, seminar,<br />
term-project, software exercises, etc.<br />
10 Marks - Regularity in the class<br />
University Examination Pattern<br />
PART A: Short answer questions 10 x 4 marks=40 marks<br />
All questions are compulsory. There should be at least three questions<br />
from each module and not more than four questions from any module.<br />
PART B: Descriptive/Analytical/Problem solving questions 3 x 20 marks=60 marks<br />
Candidates have to answer one question out of two or two questions<br />
out of four from each module<br />
Maximum Total Marks: 100