Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
1BBM403COMBINATORICS AND GRAPH THEORY3+0+03606.09.2024

 
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program COMPUTER ENGINEERING
Type of Program Formal Education
Type of Course Unit Elective
Course Delivery Method Face To Face
Objectives of the Course The purpose of the course is to present the basic concepts and techniques of combinatorics, and to give a short introduction to main problems in graph theory.
Course Content Graph, vertex, edge definitions and properties
Simple and multigraph graphs
Directed and undirected graphs
Concepts of adjacency and degree
Graph matrices Adjacency matrix, Incidence matrix, Cut matrix
Connectivity and graph components
Eulerian graphs and Eulerian cycles
Hamiltonian graphs and Hamiltonian cycles
Trees and forests
Critical path and critical node problems
Graph coloring problems
Graph cut problems
Graph matching problems
Course Methods and Techniques Lecture, Problem Solving
Prerequisites and co-requisities ( BBM102 ) and ( BBM104 )
Course Coordinator None
Name of Lecturers Associate Prof.Dr. Lale Ă–zkahya
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Brualdi A. R., " Introductory Combinatorics ", Prentice Hall, New Jersey, 1999 Gould R., " Graph Theory ", The benjamin/Cummings Pub. California, 1988
Course Notes 1.Brualdi A. R., “ Introductory Combinatorics”, Prentice Hall, New Jersey, 1999
2.Gould R., “Graph Theory”, The benjamin/Cummings Pub. California, 1988


Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm Exam 2 % 20
Assignment 4 % 20
Project 1 % 10
Final examination 1 % 50
Total
8
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 3 42
Hours for off-the-c.r.stud 5 10 50
Assignments 4 7 28
Project 1 10 10
Preparation for Midterm Exam 2 15 30
General Exam Preparation 1 20 20
Total Work Load   Number of ECTS Credits 6 180

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Upon successful completion of this course, Students will be able to recognize properties of graphs
2 Students will know some basic theorems and be able to present proofs of these theorems
3 Students will be able to model and solve real-world problems using graphs
4 Students will be prepared to start graduate study in graph theory,
5 d) ÖÄźrenciler, çizge kuramında lisans üstü çalışmaya hazırlanmış olacaklardır.
6  
7  
8  

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Basic counting principles: Permutations and combinations
2 Binomial coefficients, Inclusion-exclusion principle
3 Fundamental concepts of graph theory
4 Graph representations
5 Reachability, Subgraphs
6 Midterm exam
7 Isomorphism, connectivity
8 Planarity
9 Chromatic number
10 Eular graph
11 Midterm exam
12 Hamilton graph
13 Applications of graph theory
14 Applications of graph theory
15 Final exam preparation
16 Final exam

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12
All 5 5 1 1 1 1 1 1 1 1 1
C1
C2
C3
C4
C5
C6
C7
C8

  Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant

  
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